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380 B (65 words) - 07:08, 5 January 2009
- #REDIRECT [[Fourier Series representation of continuous-time periodic signals (ECE301Summer2008asan)]]102 B (11 words) - 11:16, 21 November 2008
- [[Category: Fourier Series]] =DT Fourier Series with a single MATLAB command! =5 KB (834 words) - 17:26, 23 April 2013
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264 B (30 words) - 13:07, 9 December 2008
- The Geometric Series formulas below still hold for <math> \alpha\ </math>'s containing complex e ...case, <math> \alpha=\frac{1}{2}e^{-j\omega} </math> in the above Geometric Series formula.998 B (145 words) - 17:40, 21 April 2013
- We will start this from the beginning with the series: ...say we're too lazy to find another method. We just want to work with this series. What can we do to make it converge to <math>\frac{\pi}{4}</math> faster?10 KB (1,816 words) - 15:32, 8 December 2008
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55 B (8 words) - 15:35, 21 October 2008
- Find the Fourier Sine Series for:408 B (71 words) - 12:35, 6 December 2008
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143 B (25 words) - 10:20, 1 October 2008
- #REDIRECT [[Finite Geometric Series Formula_ECE301Fall2008mboutin]]67 B (8 words) - 08:50, 1 October 2008
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154 B (24 words) - 10:20, 4 February 2013
- If <math>\{a_1,a_2,...,a_n\}</math> is an arithmetic series, then <math>\sum_{i=1}^n a_i = \frac{n(a_1 + a_n)}{2}</math>120 B (24 words) - 15:23, 9 October 2008
- =Tricks for dealing with geometric series= ...est you hit a roadblock: you forgot once again how to simplify a geometric series.1 KB (183 words) - 09:15, 7 September 2011
- DT Fourier Series780 B (131 words) - 20:10, 22 March 2008
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]], ==Density Estimation using Series Expansion==6 KB (1,047 words) - 08:42, 17 January 2013
- The Geometric Series formulas below still hold for <math>\alpha</math>'s containing complex expo in the above Geometric Series formula.760 B (119 words) - 19:06, 4 April 2008
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249 B (52 words) - 21:30, 1 July 2008
- [[Geometric Series - William Owens]] [[Geometric Series - Howard Ho]]114 B (17 words) - 22:23, 22 July 2009
- =A useful Geometric Series formula= [[More_on_geometric_series|More on geometric series]]413 B (70 words) - 09:27, 7 September 2011
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37 B (5 words) - 13:11, 22 July 2009
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94 B (15 words) - 17:08, 22 July 2009
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44 B (5 words) - 17:47, 22 July 2009
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73 B (11 words) - 18:01, 22 July 2009
- CT Fourier Series Expansion - Walter Mulflur119 B (23 words) - 18:26, 22 July 2009
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145 B (18 words) - 04:36, 23 July 2009
- [[Image:geometric series.doc]]30 B (4 words) - 22:36, 22 July 2009
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149 B (21 words) - 16:55, 27 July 2009
- =About the Geometric Series= ...es|here]] to view all pages in the [[:Category:geometric series|"geometric series" category]].1 KB (196 words) - 10:07, 20 May 2013
- [[Category:Fourier series continuous-time]] = This pages contains exercises to practice computing the Fourier series of a CT signal =5 KB (797 words) - 09:43, 29 December 2010
- [[Category:Fourier series discrete-time]] =This pages contains exercises to practice computing the Fourier series of a DT signal =2 KB (355 words) - 09:44, 29 December 2010
- =Exercise: Compute the Fourier series coefficients of the following signal:= After you have obtained the coefficients, write the Fourier series of x(t).2 KB (324 words) - 08:08, 15 February 2011
- [[Category:Fourier series]] =Exercise: Compute the Fourier series coefficients of the following periodic signal:=6 KB (999 words) - 13:00, 16 September 2013
- ...line-policy: -moz-initial; font-size: 110%;" colspan="2" | Table of Taylor Series ...ground-inline-policy: -moz-initial; font-size: 110%;" colspan="2" | Taylor series of functions of one variable4 KB (430 words) - 13:42, 22 November 2010
- Could you please merge this table into the [[PowerSeriesFormulas|Power Series Formula table]]? -pm ...ground-inline-policy: -moz-initial; font-size: 110%;" colspan="2" | Taylor Series9 KB (1,144 words) - 09:38, 23 November 2010
- [[Category:Fourier series]] = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Series coefficients of a sine wave=3 KB (502 words) - 12:59, 16 September 2013
- = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Series coefficients of a discrete-time (sampled) cosine wave = Obtain the Fourier series coefficients of the DT signal3 KB (548 words) - 10:24, 11 November 2011
- [[Category:Fourier series]] = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Series continuous-time signal=4 KB (594 words) - 12:59, 16 September 2013
- = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Series discrete-time signal = Obtain the Fourier series the DT signal2 KB (264 words) - 10:25, 11 November 2011
- = Table of CT Fourier Series Coefficients and Properties = == Some Fourier series ==2 KB (419 words) - 10:52, 6 May 2012
- [[Category:geometric series]] First we know the summation of an infinity geometric series:3 KB (480 words) - 09:35, 11 November 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_OldKiwi|20]]| ==Density Estimation using Series Expansion==7 KB (1,082 words) - 11:23, 10 June 2013
- [[Category:series]] [[Category:geometric series]]8 KB (1,318 words) - 13:06, 25 November 2013
- [[Category:Fourier series]] on continuous-time Fourier series7 KB (992 words) - 18:16, 23 February 2015
- == A Guide to Taylor and Maclaurin [[PowerSeriesFormulas|Series]] == <pre> keyword: taylor series, maclaurin series </pre>9 KB (1,632 words) - 18:19, 27 February 2015
- <big>'''The Laurent Series in DSP'''</big> ...wers of the complex variable (represented by '''z''') as well. The Laurent Series is the link in DSP between the Discrete Fourier Transform ('''DFT''') and t6 KB (931 words) - 23:40, 23 April 2017
- =Proof of Fourier Series Property table=183 B (22 words) - 13:54, 21 April 2018
- =Approximating Periodic Signals with Finite Fourier Series= ...ect, a matlab function will be used to show how a finite number of Fourier Series coefficients can approximate a periodic signal.1 KB (226 words) - 16:42, 21 April 2018
- <center><font size= 4>Fourier Series Coefficients</font size> I am going to compute some Fourier series coefficients. I have done 3 in both CT and DT, with explanations as to how5 KB (951 words) - 21:55, 30 April 2019
Page text matches
- ...9.pdf newsletter]). To see the Rhea page about Leibniz's slowly converging series that is mentioned in the article, click [[ChallengeProblem_MA181Fall2008bel10 KB (1,507 words) - 04:36, 24 August 2011
- ...ngeProblem MA181Fall2008bell|MA 181 page about Leibniz's slowly converging series]] led to an REU in mathematics for John Mason and Josh Hunsberger (under th6 KB (877 words) - 07:22, 21 March 2013
- ...ntation of continuous-time periodic signals_(ECE301Summer2008asan)|Fourier Series representation of continuous-time periodic signals]] ...eries Representation of CT periodic signals_(ECE301Summer2008asan)|Fourier Series Representation of CT periodic signals]]7 KB (921 words) - 06:08, 21 October 2011
- Determine the Fourier Series co-efficient for the following continuous time periodic signals.Show the de1 KB (182 words) - 11:05, 21 November 2008
- ...If a discrete time singal x[n] is periodic with period N, then the Fourier series coefficients <math>a_k</math> of the signal x[n] is also periodic with peri ...tinuous-time periodic signal x(t) with period T = 5 whose non-zero Fourier series coefficients <math>a_k</math> are given by4 KB (815 words) - 10:57, 21 November 2008
- #REDIRECT [[Fourier Series representation of continuous-time periodic signals (ECE301Summer2008asan)]]102 B (11 words) - 11:16, 21 November 2008
- ==[[ECE 301 Fall 2007 mboutin Fourier Series|Fourier Series]]== {{:ECE 301 Fall 2007 mboutin Fourier Series}}3 KB (297 words) - 16:56, 23 April 2013
- [[Category: Fourier Series]] When transferring coefficients of a fourier series through an LTI system, each value of <math> a_k\ </math> is multiplied by <842 B (120 words) - 12:21, 9 December 2008
- [[Category: Fourier Series]] =DT Fourier Series with a single MATLAB command! =5 KB (834 words) - 17:26, 23 April 2013
- ==[[ECE 301 Fall 2007 mboutin DT Fourier Series in Matlab|DT Fourier Series in Matlab with ONE Command]]== {{:ECE 301 Fall 2007 mboutin DT Fourier Series in Matlab}}1,000 B (121 words) - 12:50, 18 December 2008
- [[Category: Fourier Series]] 2. Are Fourier Series for Periodic Signals Only?1 KB (186 words) - 17:25, 23 April 2013
- The Geometric Series formulas below still hold for <math> \alpha\ </math>'s containing complex e ...case, <math> \alpha=\frac{1}{2}e^{-j\omega} </math> in the above Geometric Series formula.998 B (145 words) - 17:40, 21 April 2013
- ...e basic idea of the various other Fourier transforms including the Fourier series of a periodic function." ...ference between the Fourier Series and Fourier Transform is that a Fourier Series can only be applied to periodic functions which can be broken into a finite3 KB (431 words) - 17:29, 23 April 2013
- [[Category: Fourier Series]]936 B (157 words) - 12:11, 12 December 2008
- [[Category: Fourier Series]]808 B (131 words) - 13:04, 18 December 2008
- [[Fourier Series Homework_MA181Fall2008bell]]3 KB (390 words) - 06:35, 10 August 2010
- ...ll2008mboutin|Session 1: 9/2/2008]]: Phasors, Energy, Power, and Geometric Series '''Updated'''5 KB (720 words) - 06:10, 16 September 2013
- == Infinite geometric series formula assuming <math>|r|<1</math> ==370 B (57 words) - 05:45, 26 January 2009
- When a load resistance RT is connected to a voltage source ES with series resistance RS, maximum power transfer to the load occurs when RT is equal t726 B (126 words) - 11:57, 25 January 2009
- ...summation formula, note that some expressions are in the form of geometric series.797 B (145 words) - 08:36, 10 February 2009
- (Look at the syntax of the geometric series below for an example.) This will allow other people to refer to your formul ! colspan="2" style="background: #eee;" | Series8 KB (989 words) - 07:20, 5 February 2009
- There are two ways to go about this...the first is use of an infinite series which is too painful to dream of at this time.1 KB (223 words) - 02:41, 18 February 2009
- * PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409, ...38/FALL01/Fourier_notes1.pdf Prof. Pollak's supplementary notes on Fourier series]8 KB (1,226 words) - 11:40, 1 May 2009
- Recall geometric series:458 B (78 words) - 17:09, 9 September 2008
- [[4.2b Gregory Pajot_ECE302Fall2008sanghavi]] Note about arithmetic series, and random variable classification [[4.2b Henry Michl_ECE302Fall2008sanghavi]] More general sum of arithmetic series explanation6 KB (883 words) - 12:55, 22 November 2011
- ...mation term) by using a differentiated form of the commonly used geometric series equation: <math>\sum_{n=0}^\infty r^n = 1/(1-r)</math>386 B (67 words) - 07:43, 15 October 2008
- ...tion is solved by using the sum of an arithmetic series. In an arithmetic series, each successive term has a constant difference, which in this case is just442 B (77 words) - 07:47, 15 October 2008
- <math> \sum_{k=1}^n k </math> is a arithmetic series because it has a common difference of 1.<BR> The general sum of an arithmetic series is <math> n \frac {(a_1+a_n)} {2}</math> where <math>a_1</math> is the fir375 B (70 words) - 07:47, 15 October 2008
- More over this can be simplified using the arithmetic series212 B (42 words) - 15:10, 6 October 2008
- ...\frac{n}{3} + \frac{n}{2} + \frac{n}{1}</math> is '''not''' an arithmetic series!553 B (96 words) - 19:29, 6 October 2008
- ...in order to be guaranteed the same accuracy for averaging N = 1 and N = 2 series without averaging, you would have to go to the N = 16. That is a great dea3 KB (599 words) - 08:47, 13 November 2008
- We will start this from the beginning with the series: ...say we're too lazy to find another method. We just want to work with this series. What can we do to make it converge to <math>\frac{\pi}{4}</math> faster?10 KB (1,816 words) - 15:32, 8 December 2008
- ...t do you do for this one when n=2? I was thinking about making a geometric series but if you make n=1 then it becomes <math>4^{n+1}</math> in the denominator704 B (136 words) - 14:34, 30 October 2008
- == Absolute/Conditional Convergence for Power Series == ...y convergent interval. Only when the endpoint converges and it causes the series to alternate, while its absolute value fails, can you say that it is condit1 KB (214 words) - 16:57, 8 November 2008
- '''Convergent and Divergent Series Tests''' Unless <math>a_{n}\rightarrow 0</math>, the series diverges1 KB (208 words) - 15:31, 18 November 2008
- Find the Fourier Sine Series for:408 B (71 words) - 12:35, 6 December 2008
- ...ous Indian mathematician Ramanujan. He came up with the following infinite series for pi:363 B (56 words) - 08:44, 30 August 2008
- 2) Ditto with series. The partial sums of series are sequences, so the same result should hold.1 KB (243 words) - 09:41, 22 October 2008
- == Geometric Series ==952 B (149 words) - 18:51, 5 November 2008
- ...ways, using calculus (derivatives), differential equations, or the Taylor series, which is used here. ...variable ''z''. This is possible because the radius of convergence of each series is infinite. We then find that2 KB (362 words) - 07:05, 11 July 2012
- Using Taylor Series:920 B (137 words) - 05:48, 23 September 2011
- ...ine are common periodic functions, with period 2π. The subject of Fourier series investigates the idea that an 'arbitrary' periodic function is a sum of tri1 KB (253 words) - 07:04, 14 April 2010
- non-periodic DT signals: t2= 1 which yields a series of scatted points231 B (36 words) - 17:29, 10 September 2008
- Since y(t)=x(2t) does not yield the same results for by series, it is called time variant.786 B (181 words) - 10:13, 11 September 2008
- ...tep function can be shown by a summation of shifted delta functions over a series of - <math>\infty </math> to +<math>\infty</math>.796 B (155 words) - 13:37, 12 September 2008
- ==Periodic CT Signal, Fourier Series Coefficients== ==Periodic DT Signal, Fourier Series Coefficients==12 KB (1,544 words) - 11:27, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (217 words) - 11:04, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1,021 B (156 words) - 10:58, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (197 words) - 10:59, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (192 words) - 10:58, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (242 words) - 10:58, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (186 words) - 10:58, 16 September 2013
- Find the Fourier Series coefficients of x[n] ...do not have to use the formula for this problem. x[n] looks like a Fourier series. wo=pi/2, so2 KB (415 words) - 11:46, 23 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==671 B (107 words) - 10:57, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==778 B (122 words) - 10:57, 16 September 2013
- ...system to the signal you defined in Question 1 using H(s) and the Fourier series coefficients of your signal.1 KB (223 words) - 07:30, 25 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (306 words) - 10:57, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (384 words) - 10:56, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==783 B (123 words) - 10:59, 16 September 2013
- '''Fourier series:'''229 B (44 words) - 10:40, 24 September 2008
- ==Fourier Series Coefficients==1 KB (162 words) - 13:40, 24 September 2008
- The Fourier series coefficients can be calculated with: Let us look for the Fourier series coefficients for the DT signal <big><math>x[n] = cos(3\pi n)</math></big>1 KB (230 words) - 14:22, 26 September 2008
- Now to find the fourier series coefficients:2 KB (271 words) - 17:36, 25 September 2008
- The Fourier series coefficients for <math>x[n]</math> are:1 KB (222 words) - 13:55, 24 September 2008
- Knowing that its Fourier series is369 B (68 words) - 21:38, 23 September 2008
- == Fourier Series Coefficients for a DT signal ==650 B (95 words) - 07:26, 24 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==3 KB (464 words) - 10:58, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==834 B (129 words) - 10:56, 16 September 2013
- === Fourier series ===2 KB (243 words) - 08:04, 21 November 2008
- <font size="3">Let <math>x(t)=cos(4 \pi t) + sin(6 \pi t)</math> with Fourier series coefficients are as follows: ...to the system <math>y(t)</math> based on <math>H(s)</math> and the Fouries series coefficients is:904 B (165 words) - 12:58, 24 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (384 words) - 10:55, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (360 words) - 10:55, 16 September 2013
- Fourier Series Coefficients:1 KB (175 words) - 17:18, 24 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (429 words) - 10:55, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (250 words) - 10:54, 16 September 2013
- == Fourier Series for DT signals ==907 B (155 words) - 06:49, 25 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==837 B (141 words) - 10:56, 16 September 2013
- ==Define a periodic DT signal and compute its Fourier series coefficients. ==480 B (88 words) - 18:22, 26 September 2008
- ...system to the signal you defined in Question 1 using H(s) and the Fourier series coefficients of your signal.1 KB (241 words) - 18:42, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==863 B (144 words) - 10:54, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (363 words) - 10:56, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==966 B (160 words) - 10:53, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (410 words) - 10:53, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (216 words) - 11:02, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (279 words) - 10:54, 16 September 2013
- == Define a Periodic DT Signal and Compute the Fourier Series Coefficients ==3 KB (405 words) - 12:42, 25 September 2008
- == Computing the Fourier series coefficients for a Discrete Time signal x[n] ==900 B (178 words) - 12:47, 25 September 2008
- ...e of y[n] to the signal I defined in Question 2 using H[z] and the Fourier series coefficients ==1 KB (242 words) - 13:11, 25 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (283 words) - 10:55, 16 September 2013
- ...finite sum of shifted copies of a non-periodic signal, compute its Fourier series coefficients.2 KB (375 words) - 15:10, 25 September 2008
- '''Problem:''' Find the Fourier series coefficients of x[n], where x[n] is a square wave with fundamental period N '''Solution:''' A periodic DT signal can be expressed as a Fourier series in the following manner:2 KB (313 words) - 14:17, 25 September 2008
- ....2_Brian_Thomas_ECE301Fall2008mboutin|here]] by using H(z) and the Fourier series coefficients of x[n].2 KB (355 words) - 16:48, 25 September 2008
- Computing the Fourier series coefficients...<br><br>770 B (140 words) - 15:12, 25 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (205 words) - 10:56, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (210 words) - 11:03, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==911 B (165 words) - 11:03, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (215 words) - 10:59, 16 September 2013
- == CT Fourier Series ==662 B (136 words) - 09:55, 26 September 2008
- == DT Fourier Series ==1 KB (280 words) - 15:40, 26 September 2008
- Discrete time Fourier series499 B (77 words) - 19:03, 25 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (182 words) - 11:03, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==984 B (159 words) - 11:04, 16 September 2013
- == Fourier Series == == Fourier Series Coefficients ==967 B (170 words) - 14:35, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==891 B (142 words) - 11:01, 16 September 2013
- The Fourier Series coefficients are:876 B (173 words) - 04:45, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==777 B (123 words) - 11:05, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==885 B (159 words) - 11:01, 16 September 2013
- ...system to the signal you defined in Question 1 using H(s) and the Fourier series coefficients of your signal==2 KB (349 words) - 08:25, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (163 words) - 11:05, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==938 B (158 words) - 11:02, 16 September 2013
- ...system to the signal you defined in Question 2 using H(z) and the Fourier series coefficients of your signal=1 KB (241 words) - 09:04, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==989 B (173 words) - 11:06, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==806 B (120 words) - 11:06, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (195 words) - 11:07, 16 September 2013
- Recall the Fourier Series formulae for the continuous time signal case: ==Finding the Series==1 KB (261 words) - 13:32, 26 September 2008
- x[n] with Fourier series representation (pg. 230):<br>637 B (101 words) - 13:22, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (201 words) - 11:06, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (228 words) - 11:07, 16 September 2013
- Knowing its Fourier series is:1 KB (200 words) - 17:10, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (188 words) - 11:08, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (215 words) - 11:04, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==923 B (155 words) - 11:07, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==877 B (147 words) - 10:53, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (311 words) - 10:57, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==931 B (147 words) - 10:59, 16 September 2013
- == Fourier Series Coefficients ==462 B (89 words) - 16:43, 26 September 2008
- The Fourier series coefficients in <math>x(t)=cos(3 \pi t) + sin(8 \pi t)</math> are:986 B (178 words) - 16:31, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (291 words) - 10:54, 16 September 2013
- ==Response of the Signal and Fourier Series Coefficients==1 KB (214 words) - 17:41, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==863 B (140 words) - 11:08, 16 September 2013
- = Fourier series coefficients for DT signal = ==Fourier series coefficients==818 B (140 words) - 17:14, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==822 B (139 words) - 10:57, 16 September 2013
- as cos(t) is an even function with a Fourier Series representation that has coefficients of 0 for absolute values of k greater992 B (159 words) - 18:33, 26 September 2008
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (169 words) - 11:09, 16 September 2013
- Compute the response of the system to the signal using H(s) and the Fourier series coefficients of the signal.<br><br>905 B (182 words) - 19:11, 26 September 2008
- #REDIRECT [[Finite Geometric Series Formula_ECE301Fall2008mboutin]]67 B (8 words) - 08:50, 1 October 2008
- If we have a Fourier series <math>X(\omega)</math>, then1 KB (187 words) - 12:43, 16 September 2013
- Also, I am confused about what is needed to define a Fourier series in DT as opposed to CT.242 B (50 words) - 16:13, 7 October 2008
- ...ncept that I seem to struggle with is how to correctly compute the Fourier Series.88 B (16 words) - 17:25, 7 October 2008
- ...s. Like how to get rid of the summation signs. the equivalent of geometric series like182 B (29 words) - 08:15, 8 October 2008
- Like a few others, I think summation series are tough, especially doing the variable replacements correctly.108 B (16 words) - 10:34, 8 October 2008
- ...analogy that a vector is to its components as a function is to its fourier series, but I don't know what these transforms are showing.365 B (65 words) - 14:45, 8 October 2008
- First expressing the signal in as a Fourier series: ...division in the frequency domain. So the game plan is to find the Fourier series of x'(t) then divide by the frequency in the frequency space.2 KB (353 words) - 12:23, 16 September 2013
- Fourier Series Transformation - I had problems in determining which frequency is the funde402 B (70 words) - 16:57, 8 October 2008
- So, we can then compute the Fourier series by adding the integrals of each diferent case.2 KB (280 words) - 12:37, 16 September 2013
- 4. Compute the coefficients <math>a_{k}</math> of the Fourier series of the signal x(t) with period T = 4 defined by2 KB (303 words) - 19:47, 8 October 2008
- If <math>\{a_1,a_2,...,a_n\}</math> is an arithmetic series, then <math>\sum_{i=1}^n a_i = \frac{n(a_1 + a_n)}{2}</math>120 B (24 words) - 15:23, 9 October 2008
- '''4.''' Compute the coefficients <math>a_k</math> of the Fourier series of the signal <math>x(t)</math> periodic with period <math>T=4</math> defin1 KB (195 words) - 16:16, 13 October 2008
- Compute the coefficients <math>a_k</math> of the Fourier series of the signal <math>x(t)</math> periodic with period <math>T=4</math> defin2 KB (300 words) - 07:39, 14 October 2008
- 4. Compute the coefficients <math>a_{k} \!</math> of the Fourier series signal <math>x(t) \!</math> periodic with period <math>T = 4 \!</math> defi1 KB (210 words) - 16:19, 14 October 2008
- '''4.''' Compute the coefficients '''<math>a\ _k</math>''' of the Fourier series of the signal '''<math>x\ (t)</math>''' periodic with period '''<math>T\ =851 B (138 words) - 18:23, 14 October 2008
- Compute the coefficients <math>a_k</math> of the Fourier series of the signal <math>x(t)</math> periodic with period <math>T=4</math> defin1 KB (193 words) - 09:12, 15 October 2008
- Compute the coefficients <math>a_k</math> of the Fourier series of the signal x(t) periodic with period T = 4 defined by1 KB (217 words) - 11:05, 15 October 2008
- 4. Compute the coefficients <math>a_k</math> of the Fourier series of the signal x(t) periodic with period T=4 defined by764 B (143 words) - 17:52, 15 October 2008
- After all this I did not get a good geometric series, but if this were in CT it would be clear how to find the inverse fourier t4 KB (633 words) - 11:13, 24 October 2008
- ==Fourier Transform from the Fourier Series==3 KB (465 words) - 14:38, 24 October 2008
- =Tricks for dealing with geometric series= ...est you hit a roadblock: you forgot once again how to simplify a geometric series.1 KB (183 words) - 09:15, 7 September 2011
- ...ling involves a function known as an impulse train. An impulse train is a series of impulses that are spaced out by a period T, known as the Sampling Period1 KB (274 words) - 06:49, 16 September 2013
- ...current value until the next sample is taken. A good example of this is a series of step functions. ...tion the samples are connected by a straight line. An example of this is a series of ramp functions.951 B (153 words) - 17:14, 10 November 2008
- (3) The theorem is based on signal reconstruction utilizing a series of sinc functions each of which is infinite in time, which in reality must548 B (84 words) - 17:56, 10 November 2008
- We have a series of impulses in the time domain, but we want them to extend across, so we mu2 KB (411 words) - 17:16, 17 November 2008
- ...modulation where the message information is encoded in the amplitude of a series of signal pulses.2 KB (291 words) - 17:31, 17 November 2008
- ...ition of the Z transform given here, and the common definition of a linear series, also given here: We have to first convert this into a proper geometric series, by multiplying top and bottom by <math>\frac{1}{3z}</math>2 KB (417 words) - 14:57, 3 December 2008
- [[Category:geometric series]] <math>X(z) = \frac{1}{1-\frac{1}{az}}\!</math>, by the geometric series formula.3 KB (452 words) - 10:28, 4 February 2013
- ...of z for which the z-transform converges. Since the z-transform is a power series, it converges when x[n]z−n is absolutely summable. Stated differently,3 KB (537 words) - 17:27, 3 December 2008
- An infinite geometric series converges iff |r| < 1 ...es that you should use “long division”, feel free to use the geometric series formula instead.21 KB (3,312 words) - 11:58, 5 December 2008
- ...ic properties (e.g. time-shifts,modulation, Parseval's Theorem) of Fourier series, Fourier transforms, bi-lateral Laplace transforms, Z transforms, and discr ===[[Chapter 3_ECE301Fall2008mboutin]]: Fourier Series Representation of Period Signals===7 KB (1,017 words) - 10:05, 11 December 2008
- ...se-Hulman. It was called Boundary Value Problems. We worked with Fourier Series and all that fun stuff. It was actually pretty fun. We used maple a lot s1 KB (210 words) - 15:01, 18 December 2008
- WAMC Radio Series on the Role of Women in Science and Engineering Now announce that the radio series, The Sounds of Progress: The Changing4 KB (666 words) - 15:38, 25 November 2008
- Measuring Up 2008 is the fifth in a series of biennial state-by-state report cards on six key measures of educational2 KB (388 words) - 08:01, 3 December 2008
- * [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi]]6 KB (747 words) - 05:18, 5 April 2013
- Imagine an organism or machine which experiences a series of inputs from different sensors: x1, x2, x3, x4, . . . The machine is also31 KB (4,832 words) - 18:13, 22 October 2010
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],6 KB (938 words) - 08:38, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],3 KB (468 words) - 08:45, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],5 KB (737 words) - 08:45, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],5 KB (843 words) - 08:46, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],6 KB (916 words) - 08:47, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],9 KB (1,586 words) - 08:47, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],10 KB (1,488 words) - 10:16, 20 May 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],5 KB (792 words) - 08:48, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]], '''Taylor Series:''' If true <math>\vec{g}</math> is analytic8 KB (1,307 words) - 08:48, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],5 KB (755 words) - 08:48, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],5 KB (907 words) - 08:49, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],8 KB (1,235 words) - 08:49, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],8 KB (1,354 words) - 08:51, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],13 KB (2,073 words) - 08:39, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],7 KB (1,212 words) - 08:38, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],10 KB (1,607 words) - 08:38, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],6 KB (1,066 words) - 08:40, 17 January 2013
- ...on Conditions", Speechreading bu humans and Machines, vol. 150 of NATO ASI Series. Computer and Systems Sciences, pp. 399-408, 1996.''' very high dimensionality, such as text or time series data. In this39 KB (5,715 words) - 10:52, 25 April 2008
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],8 KB (1,360 words) - 08:46, 17 January 2013
- ==Fourier Series== [[Fourier Series(3.6)_Old Kiwi]]456 B (75 words) - 22:17, 23 March 2008
- DT Fourier Series780 B (131 words) - 20:10, 22 March 2008
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],5 KB (1,003 words) - 08:40, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]], ==Density Estimation using Series Expansion==6 KB (1,047 words) - 08:42, 17 January 2013
- Even odd Fourrier Series Coefficients868 B (154 words) - 17:36, 30 March 2008
- Next : [[Geometric Series Note_Old Kiwi]]1 KB (198 words) - 19:08, 4 April 2008
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],6 KB (1,012 words) - 08:42, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],6 KB (806 words) - 08:42, 17 January 2013
- The Geometric Series formulas below still hold for <math>\alpha</math>'s containing complex expo in the above Geometric Series formula.760 B (119 words) - 19:06, 4 April 2008
- ...are not partitioned into a particular cluster in a single step. Instead, a series of partitions takes place, which may run from a single cluster containing a ...type of algorithm is also known as agglomerative methods, which proceed by series of functions of the n objects into groups.987 B (148 words) - 16:01, 6 April 2008
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],7 KB (1,060 words) - 08:43, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],8 KB (1,254 words) - 08:43, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],8 KB (1,259 words) - 08:43, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],8 KB (1,244 words) - 08:44, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],8 KB (1,337 words) - 08:44, 17 January 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_Old Kiwi|20]],10 KB (1,728 words) - 08:55, 17 January 2013
- ##[[Fourier Series representation of continuous-time periodic signals_Old Kiwi]] ##[[Fourier Series Representation of CT periodic signals_Old Kiwi]]4 KB (531 words) - 11:32, 25 July 2008
- Determine the Fourier Series co-efficient for the following continuous time periodic signals.Show the de988 B (163 words) - 16:25, 3 July 2008
- ...If a discrete time singal x[n] is periodic with period N, then the Fourier series coefficients <math>a_k</math> of the signal x[n] is also periodic with peri ...tinuous-time periodic signal x(t) with period T = 5 whose non-zero Fourier series coefficients <math>a_k</math> are given by4 KB (803 words) - 11:10, 22 July 2008
- By elementary calculus (namely, the limit comparison test with the harmonic series), absolute convergence occurs if and only if <math>\alpha > 1</math>.1,007 B (163 words) - 15:27, 22 July 2008
- *Fourier Series ** PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,9 KB (1,237 words) - 09:29, 5 October 2009
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_OldKiwi|20]]|5 KB (744 words) - 11:17, 10 June 2013
- ...Expansion and Decision Trees_OldKiwi|Lecture 20 - Density Estimation using Series Expansion and Decision Trees]]7 KB (875 words) - 07:11, 13 February 2012
- * Fourier series of DT and CT periodic signals and Fourier series properties * Fourier series of output of an LTI system5 KB (643 words) - 11:55, 6 August 2009
- ...math>. This creates a new signal, <math>x_p(t)</math>, which consists of a series of equally spaced impulses with spacing T and area <math>x_c(t)</math>.851 B (157 words) - 17:37, 4 August 2009
- ==Multiplication Property of Continuous - Time Fourier Series== ...dic with period '''T''', we can expand it in a Fourier series with Fourier series coefficients '''<math>h_k</math>''' expressed in terms of those for x(t) an583 B (107 words) - 09:20, 8 July 2009
- ..._0</math> to created the shifted signal <math>x(t-t_0)</math>, the Fourier series coefficients of the shifted will be <math>a_k e^{-jkw_0t_0}</math>, where < Let <math>a_k</math> be the Fourier series coefficients of <math>x(t)</math>, so1 KB (240 words) - 16:58, 8 July 2009
- == Continous - Time Fourier Series: Time Reversal == Right-hand side of the equation has the form of a Fourier series synthesis equation for x(-t)539 B (102 words) - 18:39, 8 July 2009
- '''== Time Shifting Property of Continuous-Time Fourier Series ==''' <br> The Fourier series coefficients <math>b_{k}</math> of the resulting signal y(t)=x(t-<math>t_{01 KB (200 words) - 03:44, 9 July 2009
- * [[Geometric Series]] == Fourier Series ==1 KB (152 words) - 04:06, 23 July 2009
- [[Geometric Series - William Owens]] [[Geometric Series - Howard Ho]]114 B (17 words) - 22:23, 22 July 2009
- =A useful Geometric Series formula= [[More_on_geometric_series|More on geometric series]]413 B (70 words) - 09:27, 7 September 2011
- Fourier Series for discrete time signals.116 B (22 words) - 13:45, 22 July 2009
- Discrete Time Fourier Series Coefficients117 B (21 words) - 18:02, 22 July 2009
- CT Fourier Series Expansion - Walter Mulflur119 B (23 words) - 18:26, 22 July 2009
- [[Image:geometric series.doc]]30 B (4 words) - 22:36, 22 July 2009
- then the Fourier series coefficients <math>b_k</math> of the resulting signal y(t) = x(t - <math>t_ where <math>a_k</math> is the <math>k^{th}</math> Fourier series coefficient of x(t). That is, if1 KB (266 words) - 03:10, 23 July 2009
- *Continuous Time Fourier Series (CTFS) ...engineering.purdue.edu/~bouman/ece301/notes/pdf2/FourierSeries.pdf Fourier Series Expansion]6 KB (785 words) - 06:02, 1 March 2010
- Fourier series. It turns out that ALL of where c[n] is the Fourier series coefficient.1 KB (196 words) - 04:17, 30 July 2009
- * A knowledge of Fourier series and periodic signals.7 KB (1,153 words) - 14:06, 24 August 2009
- ...und [http://intranet.math.purdue.edu/news/2012/06/26/advance-prime-speaker-series-women-of-color-in-the-mathematical-sciences/ here].2 KB (227 words) - 11:34, 18 March 2013
- |Homework 6 due – Fourier Series |Exam 2 – LTI system properties; orthonormal transforms; Fourier series1 KB (190 words) - 15:00, 24 August 2009
- ...oood problems on sequences, limsups and liminfs, some other topology and a series problem too!]] ...Tenth Problem set" with a nice exercise on root and ratio tests for Taylor series (Hadamard's stuff)]]2 KB (375 words) - 06:18, 10 December 2009
- A series <math> \sum_{n=-\infty}^\infty (An) </math> is said to absolutely converge But the norm of <math> |z^{-n}| = 1 </math>, so the series converges if <math> |x[n]| < 1 </math>.2 KB (252 words) - 06:55, 16 September 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_OldKiwi|20]]| '''Taylor Series:''' If true <math>\vec{g}</math> is analytic9 KB (1,341 words) - 11:15, 10 June 2013
- ...ve this summation, we generally use the formula for the sum of a geometric series. This leaves a <math>e^{-jw}</math> term in the DTFT, which causes <math>\o8 KB (1,452 words) - 06:49, 16 September 2013
- ...hat this would only be applicable then for the first nine elements of each series.486 B (70 words) - 07:24, 4 January 2011
- '''Definition:''' A series <math>\sum_{\infty}^{n=0} a_n</math> is said to converge to a value V if fo '''Definition:''' A series <math>\sum^{\infty}_{n=0} a_n</math> is called "absolutely convergent" when3 KB (584 words) - 15:53, 8 October 2009
- The Fourier Series of this function can be represented as4 KB (655 words) - 07:13, 23 September 2009
- ...y-related complex exponentials of different frequencies. Then, the Fourier Series representation of a signal is developed to determine the magnitude of each8 KB (1,268 words) - 07:16, 23 September 2009
- same formula as for discrete fourier series. ==> same properties as DFT series.2 KB (491 words) - 23:03, 22 September 2009
- ...X(z) z ^ {n-1})} \ </math> Coefficient of degree (-1) term on the power series expansion of <math> ( X(z) z ^ {n-1}) \ </math> <math> about a_i \ </math So inverting X(z) involves power series.2 KB (399 words) - 08:27, 23 September 2009
- 1.) Write X(z) as a power series Observe, |1/z| < 1, thus we can use geometric series2 KB (270 words) - 08:35, 23 September 2009
- So inverting X(z) involves power series <math>\frac{1}{1-x} = \sum_{n =0}^{\infty} x^{n} \ </math> , geometric series when |x|< 12 KB (350 words) - 09:50, 23 September 2009
- ...an intellect into doing things beyond its ordinary powers. We start with a series of events throughout which some quantity is conserved, or a collection of o27 KB (4,384 words) - 17:47, 26 October 2009
- *[[PowerSeriesFormulas|Power Series]] (used in [[ECE301]], [[ECE438]])3 KB (294 words) - 15:44, 12 March 2015
- '''Power Series''' ...background: #e4bc7e; font-size: 110%;" | [[Taylor_maclaurin_series|Taylor Series]] Formulas15 KB (2,182 words) - 18:14, 27 February 2015
- =About the Geometric Series= ...es|here]] to view all pages in the [[:Category:geometric series|"geometric series" category]].1 KB (196 words) - 10:07, 20 May 2013
- ...)</math> and <math>z^2f''(z)</math>? How can you combine these to get the series in the question? --[[User:Bell|Steve Bell]] ...how to attack problem 10.2? Also for problem 8.1, I am thinking the power series should just be <math>[(z-z_0)+z_0]^{k}</math>. Did anybody do it another w4 KB (620 words) - 10:00, 9 November 2009
- Basically, the vocal tract is modeled as a finite series of connected tubes. ...of a pulse train (voiced) convolved with a transfer function results in a series of varying-amplitude pulses with certain frequencies that are amplified.5 KB (841 words) - 15:26, 10 April 2013
- -> Model vocal tract as a series of tubes2 KB (390 words) - 07:46, 14 November 2011
- *The resulting series obtained by discretizing the CWT is called the Wavelet Series. *The computation of the Wavelet Series, while possible may consume significant memory and computation time; and th10 KB (1,646 words) - 11:26, 18 March 2013
- -> Model vocal tract as a series of tubes2 KB (387 words) - 07:47, 14 November 2011
- ...lytic function f allow convergence outside of the RoC for the normal power series of f?--[[User:Rgilhamw|Rgilhamw]] 19:50, 25 November 2009 (UTC) ...tive powers of z but with ROC abs(z)>1 instead of less than 1. The Laurent series seems like it is used to represent an analytic function in the annulus <mat3 KB (554 words) - 21:21, 3 December 2009
- ...est circle with the center at z = 0, since that is the center of the power series, such that there are no singularities enclosed within the circle. ...ion goes to infinity as theta goes to <math>\frac{\pi}{2}</math>. Since a series converges absolutely and uniformly with in it's RoC and it converges for ev4 KB (631 words) - 11:08, 14 December 2009
- ...concepts,things will be easier.Complex analysis,functions,limits,geometric series lies in the heart of signals.Plotting various signals seemed so abstruse in14 KB (2,366 words) - 17:32, 21 April 2013
- ...mbers." For example, we would use it to prove an equation for the sum of a series for any given n. ...case." This is probably going to be checking that the first value in your series is equal to your equation. Almost always, you'll be plugging and chugging4 KB (658 words) - 09:01, 12 January 2010
- ...mbers." For example, we would use it to prove an equation for the sum of a series for any given n. ...case." This is probably going to be checking that the first value in your series is equal to your equation. Almost always, you'll be plugging and chugging4 KB (689 words) - 09:31, 20 May 2013
- A 15Vdc source is connected to a 4 resistor series parallel circuit with output nodes A and B.2 KB (272 words) - 08:51, 9 December 2010
- ...m test. Cauchy Criterion for series. Theorem 3.7.5. Harmonic and geometric series. Comparison test.3 KB (371 words) - 19:01, 6 April 2010
- ...{1}{2}x_n + 2 = x_{n+1}</math>, therefore <math>x_{n+1}</math> > 4, so the series (<math>x_n</math>) is bounded below by 43 KB (550 words) - 13:01, 18 April 2010
- ...xpansion and Decision Trees_OldKiwi|Lecture 20 on Density Estimation using Series Expansion and Decision Trees]] *[[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_OldKiwi|Students notes for Lecture 20, ECE662,1 KB (164 words) - 10:10, 27 April 2010
- ...current sources can be modeled by a single voltage source and resistor in series <br/><br/>4 KB (557 words) - 17:01, 15 April 2013
- ...h the time- and frequency-domains. Continuous-time linear systems: Fourier Series, Fourier Transform, bilateral Laplace Transform. Discrete-time linear syste ...c properties ( e.g. time-shift, modulation, Parseval's Theorem) of Fourier series, Fourier transforms, bilateral Laplace transforms, Z transforms, and discre3 KB (394 words) - 07:08, 4 May 2010
- ...time domain you look at the value of something as it changes over time - a series of snapshots, if you will. In the Fourier domain you look at the entire lif ...or <math>r\neq 1</math>, the sum of the first ''n''+1 terms of a geometric series is:13 KB (2,348 words) - 13:25, 2 December 2011
- ...-series-women-of-color-in-the-mathematical-sciences/ ADVANCE PRiME Speaker Series]928 B (124 words) - 06:09, 3 July 2012
- ...ises of Fourier series computations for CT signals]], especially [[Fourier series coefficients student 1|this one]]. ...ed exercise Fourier series computation DT|Recommended exercises of Fourier series computations for DT signals]]9 KB (1,221 words) - 11:00, 22 December 2014
- *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,9 KB (1,331 words) - 07:15, 29 December 2010
- ...Fourier_series_computation|A collective page to practice computing Fourier series of a CT signal]] ...rier_series_computation_DT|A collective page to practice computing Fourier series of a DT signal]]2 KB (211 words) - 05:39, 26 September 2011
- .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier series expansion example] <br/>3 KB (431 words) - 07:07, 31 January 2011
- ...wer series]]. If you do not feel completely comfortable with the geometric series, this is a good time to brush up on the subject. ...metric_Series_ECE301Fall2008mboutin|Some tricks to deal with the geometric series (from William Schmidt)]]2 KB (249 words) - 12:30, 8 September 2010
- ...ular, make sure that the ROC is obtained as part of the computation of the series sum (see your course notes, as I pointed this out very clearly in class), a4 KB (567 words) - 12:09, 13 September 2010
- [[Category:Fourier series continuous-time]] = This pages contains exercises to practice computing the Fourier series of a CT signal =5 KB (797 words) - 09:43, 29 December 2010
- [[Category:Fourier series discrete-time]] =This pages contains exercises to practice computing the Fourier series of a DT signal =2 KB (355 words) - 09:44, 29 December 2010
- For those of you wishing to brush up on Fourier series, here are two collective study pages: ...ended_exercise_Fourier_series_computation|Recommended exercises of Fourier series computations for CT signals]]875 B (123 words) - 12:42, 10 September 2010
- =Exercise: Compute the Fourier series coefficients of the following signal:= After you have obtained the coefficients, write the Fourier series of x(t).2 KB (324 words) - 08:08, 15 February 2011
- =Exercise: Compute the DT Fourier series coefficients of the following discrete-time signal:= After you have obtained the coefficients, write the Fourier series of x[n].982 B (156 words) - 16:41, 30 November 2010
- <math>\text{3. Compute the Fourier series coefficients of the following signal:} \,\!</math>2 KB (315 words) - 10:39, 11 November 2011
- [[Category:Fourier series]] =Exercise: Compute the Fourier series coefficients of the following periodic signal:=6 KB (999 words) - 13:00, 16 September 2013
- *Fourier series of a continuous-time signal x(t) periodic with period T *Fourier series coefficients of a continuous-time signal x(t) periodic with period T2 KB (292 words) - 17:13, 30 September 2010
- *Fourier series of a continuous-time signal x(t) periodic with period T *Fourier series coefficients of a continuous-time signal x(t) periodic with period T1 KB (241 words) - 06:50, 30 September 2010
- ...ier series, as computing DFTs is essentially the same as computing Fourier series coefficients.1 KB (158 words) - 15:59, 8 October 2010
- ...c series by substitution of variable from s to z. Also properties of power series with differential equation is useful.3 KB (456 words) - 13:44, 30 April 2015
- How does your answer related to the Fourier series coefficients of x[n]? In class we compared the IDFT and the Fourier Series expansion and the Fourier coefficients can be expressed (if I remember corr5 KB (766 words) - 14:22, 21 April 2013
- How do your answers relate to the Fourier series coefficients of x[n]? Hint: To factor H(z), use the geometric series and the fact that the roots of the polynomial4 KB (661 words) - 11:22, 30 October 2011
- == 2. Power series ==1 KB (243 words) - 13:47, 30 April 2015
- ...either the Taylor series formula or a [[PowerSeriesFormulas|table of power series formulas]]. The power series expansion of the given function is:2 KB (273 words) - 12:49, 26 November 2013
- Continuing our practice problems series, here is [[Practice_Question_2_ECE439F10|a simple question on computing the2 KB (329 words) - 12:04, 18 October 2010
- Continuing our practice problems series, here is an [[Practice_Question_4_ECE438F10|occasion to make sure you under1 KB (174 words) - 03:53, 21 October 2010
- Imagine an organism or machine which experiences a series of inputs from different sensors: x1, x2, x3, x4, . . . The machine is also31 KB (4,787 words) - 18:21, 22 October 2010
- Answer: You will need to note that the Fourier Series converges to the function. After that, you'll need to plug in x=0 and x=1 and notice that the Fourier Series pops out the sum you are after. Page 482 is helpful.2 KB (402 words) - 18:48, 2 November 2010
- ...of the N samples comprising one period of x[n] equals N times the Fourier series coefficients. Alternatively - <br> The fourier series coefficients of a periodic, bandlimited signal x are given by the DFT of on19 KB (3,208 words) - 11:23, 30 October 2011
- ...ng that there is still both a complex part and a real part for the Fourier series. Am I just supposed to write the real part, or am I doing this problem inco ...lit the series into two parts since it is not defined for n=0. The Fourier series in problem 9 is:8 KB (1,441 words) - 15:52, 10 November 2010
- ='''1.1.2 Taylor series'''=7 KB (1,186 words) - 11:20, 30 November 2010
- We can expand the exponential as a power series (in <span class="texhtml">ω</span> about <span class="texhtml">ω = 0</spa4 KB (657 words) - 11:42, 30 November 2010
- ...left\{ e^{s\mathbf{X}}\right\}</math> . Find the first three terms in the series expansion of <math class="inline">\phi_{\mathbf{X}}\left(s\right)</math> a According to the series expansion, <math class="inline">e^{\lambda}=\sum_{k=0}^{\infty}\frac{\lambd22 KB (3,780 words) - 07:18, 1 December 2010
- ...line-policy: -moz-initial; font-size: 110%;" colspan="2" | Table of Taylor Series ...ground-inline-policy: -moz-initial; font-size: 110%;" colspan="2" | Taylor series of functions of one variable4 KB (430 words) - 13:42, 22 November 2010
- Could you please merge this table into the [[PowerSeriesFormulas|Power Series Formula table]]? -pm ...ground-inline-policy: -moz-initial; font-size: 110%;" colspan="2" | Taylor Series9 KB (1,144 words) - 09:38, 23 November 2010
- that just puts the same k in front of the series for the solution.) ...s cancel and it leaves you with 3 sine terms that then go into the fourier series.6 KB (1,054 words) - 09:24, 1 December 2010
- We use [[ECE 600 Prerequisites Basic Math|Taylor Series]]: <math class="inline">\sum_{r=1}^{\infty}r\left(1-p\right)^{r}=\frac{1-p}14 KB (2,358 words) - 08:31, 27 June 2012
- ...e^{i\omega}}{1-e^{i\omega}\left(1-\alpha\right)}\text{ (infinite geometric series)}</math>5 KB (793 words) - 12:10, 30 November 2010
- The audio signal will go through the filters connected in series and the output will be a much better audio signal with Vuvuzelas noise grea3 KB (409 words) - 08:53, 11 November 2013
- == '''''Statement: I am going to derive through a series of statements that transposing a matrix does NOT change its determinant.'''5 KB (883 words) - 21:12, 7 December 2010
- == '''''Statement: I am going to derive through a series of statements that transposing a matrix does NOT change its determinant.'''5 KB (882 words) - 21:30, 7 December 2010
- L=pi in this problem. The given Fourier series for f(x) tells When you square the coefficients of the Fourier series, you get7 KB (1,359 words) - 02:59, 14 December 2010
- == 2. Power series ==1 KB (191 words) - 18:52, 16 December 2010
- *Computing the Fourier series coefficients of a CT signal **[[Fourier series coefficients sinusoidal CT ECE301S11|Obtain the Fourier series coefficients of this CT sinusoidal]]18 KB (2,485 words) - 10:36, 11 November 2011
- and you can compare the series to a convergent geometric series ...geometric series, which serves as an upper-bound of the original absolute series. Finally, let <math>\epsilon</math> go to zero. Result from Problem 5 is1 KB (219 words) - 11:25, 19 January 2011
- .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier series expansion example] <br/>2 KB (352 words) - 07:06, 31 January 2011
- ...much easier. In order to compute summations, you may want to use geometric series' formulas.2 KB (380 words) - 10:20, 11 November 2011
- ...hoping you can resolve this. For 2g the function is already in its Fourier series. So to find the a_k values you need to manipulate the exponential terms. I2 KB (404 words) - 04:50, 14 February 2011
- Obtain the Fourier series coefficients of the following signals. What is the Fourier series for each of the signals in Question 2?4 KB (663 words) - 15:15, 12 February 2011
- *[[ECE_301_Fall_2007_mboutin_DT_Fourier_Series_in_Matlab|DT Fourier series with a single command in MATLAB]] *[[ECE_301_Fall_2007_mboutin_Geometric_Series_Note|Geometric series notes]]6 KB (818 words) - 06:12, 16 September 2013
- *[[PowerSeriesFormulas|Power Series]]890 B (101 words) - 17:30, 21 April 2013
- ...ine/sine as a Fourier series, we are effectively writing out their Fourier series.1 KB (212 words) - 14:11, 28 February 2011
- ...of terms. Next lecture, I will give examples of computations of DT Fourier series coefficients. It still not be a bad thing if you tried the corresponding p *Solve the Practice problems on the Fourier series computation2 KB (287 words) - 14:11, 28 February 2011
- [[Category:Fourier series]] = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Series coefficients of a sine wave=3 KB (502 words) - 12:59, 16 September 2013
- = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Series coefficients of a discrete-time (sampled) cosine wave = Obtain the Fourier series coefficients of the DT signal3 KB (548 words) - 10:24, 11 November 2011
- [[Category:Fourier series]] = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Series continuous-time signal=4 KB (594 words) - 12:59, 16 September 2013
- = [[:Category:Problem_solving|Practice Question]] on Computing the Fourier Series discrete-time signal = Obtain the Fourier series the DT signal2 KB (264 words) - 10:25, 11 November 2011
- ...remember that there are two different methods for computing the DT Fourier series coefficients. One is very quick but only applies when you can figure out a *Practice computing DT Fourier series: Two practice problems are posted already. Let me know if you need more.2 KB (275 words) - 14:11, 28 February 2011
- = Table of CT Fourier Series Coefficients and Properties = == Some Fourier series ==2 KB (419 words) - 10:52, 6 May 2012
- ..._Fourier_series_practice_problems_list|Problems on continuous-time Fourier series]] *Computing the Fourier series coefficients of a CT signal12 KB (1,768 words) - 10:25, 22 January 2018
- ...an style="color:green">TA's comments: The answer is correct. The geometric series converges because <math class="inline">\color{OliveGreen}{\left|\frac{e^{j\1 KB (198 words) - 10:27, 11 November 2011
- a) The Fourier series coefficients of <span class="texhtml">''c''(''t'')</span> are: and using the synthesis equation of the Fourier series we get:12 KB (2,109 words) - 05:58, 22 April 2011
- ...rac{1}{z}| \leq 1</math>, then by the [[More_on_geometric_series|geometric series]] formula we have <math> X(z)=\frac{1}{1-\frac{1}{z}}</math>. :<span style="color:blue"> Instructor's comment: The series does not converge when <math>|\frac{1}{z}| =1</math>. </span>3 KB (431 words) - 09:09, 4 March 2015
- By comparison with the geometric series, where it diverges for |-3z| < 1, you can rewrite the problem as shown i2 KB (309 words) - 12:51, 26 November 2013
- In this chapter author explains Fourier Series and Fourier Transforms of CT signals. The explanation is very good and clea6 KB (972 words) - 06:29, 1 November 2011
- In this chapter author explains Fourier Series and Fourier Transforms of CT signals. The explanation is very good and clea6 KB (955 words) - 10:54, 6 May 2012
- **[[Problem Generalized Geometric Series Formula ECE438F11|When is this summation formula valid?]]10 KB (1,359 words) - 03:50, 31 August 2013
- .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier Series Example]<br/>3 KB (456 words) - 10:20, 12 October 2011
- *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,9 KB (1,341 words) - 03:52, 31 August 2013
- [[Category:geometric series]] ...or's comments: There is a much shorter solution using the finite geometric series formula. Note that, when the sum is finite, one does not have to worry abou3 KB (515 words) - 09:23, 11 November 2013
- ...metric_Series_ECE301Fall2008mboutin|Some tricks to deal with the geometric series (from William Schmidt)]] *[[ECE_301_Fall_2007_mboutin_Geometric_Series_Note|Yes, the geometric series also holds for complex numbers!]]1 KB (212 words) - 06:20, 11 September 2013
- [[Category:geometric series]] First we know the summation of an infinity geometric series:3 KB (480 words) - 09:35, 11 November 2013
- ...]. The [http://www.arm.com/products/processors/cortex-m/index.php Cortex-M series] seems to be at the level at which we need our processor to be at, though I ...tputs, plenty for our needs <br><br> Many of the other processors in the M series have similar characteristics. What about a wireless module? There are a ton13 KB (2,405 words) - 18:44, 16 November 2011
- ...luded that using the formula essentially boils down to comparing the power series of the z-transform with the formula for the z-transform (the trick we prese1 KB (192 words) - 06:20, 11 September 2013
- The power series expansion of the given function is The power series expansion of the given function is9 KB (1,625 words) - 05:33, 14 September 2011
- ...es of Fourier series computations for DT signals]] (to brush up on Fourier series))1 KB (213 words) - 06:24, 11 September 2013
- How does your answer related to the Fourier series coefficients of x[n]?4 KB (735 words) - 14:19, 21 April 2013
- How does your answer related to the Fourier series coefficients of x[n]?3 KB (513 words) - 14:20, 21 April 2013
- ...Fourier_series_computation|A collective page to practice computing Fourier series of a CT signal]] ...rier_series_computation_DT|A collective page to practice computing Fourier series of a DT signal]]2 KB (212 words) - 05:44, 26 September 2011
- ...es of Fourier series computations for DT signals]] (to brush up on Fourier series))1 KB (181 words) - 06:24, 11 September 2013
- when <math>n\neq 1 \text{ or } 2</math>, using geometric series summation formula we have4 KB (754 words) - 17:09, 13 October 2011
- **[[Problem Generalized Geometric Series Formula ECE438F11|When is this summation formula valid?]]9 KB (1,273 words) - 20:52, 15 October 2011
- The goal here is to recommend a series of strategies, keeping in mind an initial budget of $1500 for promotional m2 KB (296 words) - 05:31, 19 October 2011
- Hint: To factor H(z), use the geometric series and the fact that the roots of the polynomial5 KB (916 words) - 03:56, 31 August 2013
- **[[Problem Generalized Geometric Series Formula ECE438F11|When is this summation formula valid?]]6 KB (801 words) - 22:04, 19 April 2015
- Alternatively, proof using Taylor series is posted [[HW1.3_Chris_Cadwallader_-_Euler's_forumla_ECE301Fall2008mboutin3 KB (548 words) - 11:08, 15 December 2011
- ...2! Professor Palais noted that "... Cauchy's integral formula and Fourier series formulas all begin with 1/2<math>\pi</math>, Stirling's approximation and t5 KB (820 words) - 08:33, 11 December 2011
- ==Fourier Series==399 B (50 words) - 08:03, 17 January 2012
- ...nge the variable in a power series when necessary. For example, if a power series has xk−1 and you need it to be xk , you can replace k by k + 1 throughout ...re multiples of 3 or 5." to extremely difficult (Problem 368: Kepmner Like Series).16 KB (2,679 words) - 06:52, 21 March 2013
- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_OldKiwi|20]]|3 KB (413 words) - 11:17, 10 June 2013
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- [[Lecture 20 - Density Estimation using Series Expansion and Decision Trees_OldKiwi|20]]| ==Density Estimation using Series Expansion==7 KB (1,082 words) - 11:23, 10 June 2013
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- | [[Media:Walther_MA375_01March2012.pdf| Power Series and Generating Functions]]3 KB (418 words) - 06:38, 21 March 2013
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- //series starting with 1s //series starting with 2s7 KB (993 words) - 05:25, 11 July 2012
- [[Category:Fourier series]]1 KB (196 words) - 17:45, 21 April 2013
- ...d temporary storage of large files. The shared workspace is divided into a series of directories, and a specific directory is assigned to each SAS process ba13 KB (2,134 words) - 08:23, 23 April 2012
- ...rmation on the fiscal periods associated with each used link for each time series calendar frequency and keyset11 KB (1,577 words) - 08:35, 23 April 2012
- ...using the ts_print utility. Say for example, you want to acquire the time series for IBM (permno 12490), it can be accomplished by simply typing: ...ing the above command, a file 12490.dstk will be generated containing time series for daily price, return, shares outstanding and ticker for IBM from 2008/017 KB (1,122 words) - 08:33, 23 April 2012
- | [[FourierSeriesConvergenceBonusProject | Convergence of Parametric Fourier Series]] ...Computations: [[Computation_of_Energy_and_Power_of_a_DT_signal|DTGeometric Series]] [[Computation_of_Energy_and_Power_of_a_CT_sinusoidal_signal|CT Cosine wav4 KB (534 words) - 19:10, 4 December 2018
- *[[PowerSeriesFormulas|Power Series]]2 KB (236 words) - 11:24, 21 September 2012
- ...e Laplace transform really is: a continuous analogue of the discrete power series. (1) '''Power series = discrete summation'''3 KB (512 words) - 15:14, 1 May 2016
- **[[PowerSeriesFormulas|Power Series]]6 KB (799 words) - 10:10, 15 May 2013
- [[Category:geometric series]] ...of the most important power series: [[PowerSeriesFormulas| Table of Power Series Formulas]] (from Rhea's Collective [[Collective_Table_of_Formulas|Table of3 KB (341 words) - 09:59, 5 February 2013
- ...collected to be very interesting both in humans and in electronics. In the series of essays I will be posting this semester, I will be writing about Pattern4 KB (691 words) - 16:46, 15 February 2013
- ...y this back to earlier impulse responses, we see that we get the geometric series: ...with constant coefficient of 1, simplifying our computation to a geometric series.6 KB (991 words) - 15:18, 1 May 2016
- We can rearrange our initial sum into a geometric series: It is now clear that we have a geometric series term of the following form:2 KB (355 words) - 13:50, 13 February 2013
- 2. Use Matlab to demonstrate summing of a finite number of terms of a Fourier Series ... pick a fun time function with a discontinuity to illustrate Gibbs pheno [[Category:Fourier series]]4 KB (573 words) - 10:15, 15 May 2013
- *[[Geometric_Series_Explanation|Geometric Series Explanation]] by [[user:amcgail|Alec McGail]]2 KB (287 words) - 13:01, 12 January 2018
- *[[taylor_maclaurin_series|A Guide to Understanding Taylor and Maclaurin Series]] by [[user:khmarsh|Kathryn Marsh]]2 KB (219 words) - 09:40, 12 January 2018
- ...ks, etc. Note that Rhea already has many pages talking about the geometric series (which you could cross-link), but not good reference summarizing everything3 KB (555 words) - 17:17, 18 March 2013
- [[Category:Fourier series]]2 KB (322 words) - 23:38, 10 March 2013
- [[Category:Fourier series]] ...Use Matlab to demonstrate summing of a finite number of terms of a Fourier Series ... pick a fun time function with a discontinuity to illustrate Gibbs pheno2 KB (348 words) - 10:50, 11 March 2013
- [[Category:Fourier series]] '''2.Fourier series'''1 KB (174 words) - 11:34, 11 March 2013
- This set of notes is on Lecture 4 of the series and covers Optical Imaging Systems. You can watch the unedited video [http:2 KB (318 words) - 07:23, 26 February 2014
- These notes were taken while watching Professor Charles Bouman's lecture series on Digital Image Processing ([[ECE637|ECE 637]]). Whereas the original vide2 KB (311 words) - 07:22, 26 February 2014
- ...Expansion and Decision Trees_OldKiwi|Lecture 20 - Density Estimation using Series Expansion and Decision Trees]]3 KB (425 words) - 09:59, 4 November 2013
- ...ess. To re-emphasize this relationship once again, we looked at the Taylor series expansion of the pmf of the random variables parameterizing the Poisson ran3 KB (376 words) - 10:23, 17 April 2013
- ...Expansion and Decision Trees_OldKiwi|Lecture 20 - Density Estimation using Series Expansion and Decision Trees]]5 KB (833 words) - 03:31, 19 April 2013
- This set of notes is on Lectures 5, 6 and 7 of the series and covers Tomographic Reconstruction. You can watch the unedited videos fo4 KB (443 words) - 07:24, 26 February 2014
- [[Category:series]] [[Category:geometric series]]8 KB (1,318 words) - 13:06, 25 November 2013
- ...from being published in his lifetime. Cantor on the other hand, suffered a series of mental breakdowns and eventually died impoverished and alone in a sanato4 KB (556 words) - 19:21, 24 May 2013
- ...amplitudes. Fourier created a method of analysis now known as the Fourier series for determining these simpler waves and their amplitudes from the complicat Sound waves are one type of waves that can be analyzed using Fourier series, allowing for different aspects of music to be analyzed using this method.5 KB (883 words) - 13:06, 25 November 2013
- ...47aouqlInqU 19] and [http://www.youtube.com/watch?v=O_MPOw4Uo5g 20] of the series and covers Discrete Parameter Signals and Systems. Professor Bouman's Cours2 KB (278 words) - 07:26, 26 February 2014
- *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,9 KB (1,353 words) - 09:04, 11 November 2013
- .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier Series Example]<br/>2 KB (341 words) - 15:54, 14 August 2013
- .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier Series Example]<br/>2 KB (351 words) - 17:43, 16 August 2013
- **[[PowerSeriesFormulas|Power Series]]4 KB (480 words) - 18:57, 10 December 2013
- ...component is equal to the corresponding coefficient of the complex Fourier series. To show this, plug in the spectral component from the complex Fourier series into the formula for RMS2 KB (392 words) - 10:08, 15 January 2014
- *[[Geometric_Series_Explanation|Tutorial on the geometric series]], by [[user:amcgail | Alec McGail]], member of [[Math_squad | Rhea's Math3 KB (386 words) - 06:09, 11 September 2013
- ...he z-transform. We reviewed the definition of "convergence" of an infinite series, and contrasted it with the notion of "absolute convergence"2 KB (262 words) - 06:09, 11 September 2013
- [[Image:Green26 ece438 hmwrk3 power series.png|480x320px]] Using the geometric series property:8 KB (1,313 words) - 15:19, 1 May 2016
- by geometric series Since z/3 < |1|, base on geometric series:8 KB (1,353 words) - 12:54, 26 November 2013
- Using the geometric series formula,6 KB (1,011 words) - 12:54, 26 November 2013
- Use geometric series:4 KB (619 words) - 12:55, 26 November 2013
- By the geometric series formula,<br>8 KB (1,294 words) - 12:55, 26 November 2013
- By geometric series formula, For |z| < 3, we have, by geometric series, that:7 KB (1,100 words) - 12:53, 26 November 2013
- The power series expansion of the given function is The power series expansion of the given function is10 KB (1,662 words) - 13:34, 9 September 2013
- By Taylor Series, an exponential can be expanded into the series:5 KB (792 words) - 12:55, 26 November 2013
- [[Category:Fourier series]] on continuous-time Fourier series7 KB (992 words) - 18:16, 23 February 2015
- If we let <math>q=e^{2\pi iz}</math> we see that j(z) can be expressed as a q-series with integer coefficients.<br> ...exist a "good" definition of a q-series, so it will suffice to say it is a series with q's in the summands,<br>9 KB (1,387 words) - 18:29, 30 November 2013
- when <math>n\neq 1 \text{ or } 2</math>, using geometric series summation formula we have6 KB (1,018 words) - 12:18, 30 September 2013
- From here I solved for Bn. The fourier series I calculated is F(x) = 2/pi sinx - 2/4pi sin2x + 2/9pi sin3x ... When graph Fourier series up to the n=5 terms. By the way, to7 KB (1,302 words) - 04:58, 23 October 2013
- Hint: To factor H(z), use the geometric series and the fact that the roots of the polynomial4 KB (638 words) - 10:04, 16 October 2013
- ...tion about the even extension in problem 29. I am getting that the fourier series is 2/pi-4/pi(1/3 cos(2x) + 1/(3*5) cos (4x) + 1/(5*7) *cos(6x)... The answe ...of the book is wrong for p. 490: 29 (a). The non-zero terms in the cosine series happen for even values of n.8 KB (1,388 words) - 14:51, 29 October 2013
- ...p://dynamo.ecn.purdue.edu/~ipollak/ee438/FALL01/Fourier_notes1.pdf Fourier series]6 KB (759 words) - 08:10, 11 November 2013
- **[[PowerSeriesFormulas|Power Series]] ...ises of Fourier series computations for CT signals]], especially [[Fourier series coefficients student 1|this one]].4 KB (471 words) - 19:34, 9 February 2015
- > series from the complex one, is there a way to about the complex Fourier SERIES on Exam 2. The11 KB (1,959 words) - 17:57, 10 November 2013
- ...ng to class or completing homework should not be treated a chore, rather a series of stepping stones for our educational development.3 KB (495 words) - 09:29, 7 November 2013
- ...st step of finding a solution to a wave or heat equation, why do we take a SERIES of the eigen functions, and then incorporate the initial condition to get t Farhan, I think the series of the eigenfunctions is needed to satisfy both the boundary conditions and5 KB (978 words) - 17:36, 3 December 2013
- about complex Fourier Series on the Final Exam. There might, however, be2 KB (444 words) - 17:30, 10 December 2013
- Americans choose their President in a complicated series of steps that evolved through the history. In order to be depart from the m ...President. Therefore, a nominating process is needed for every parties. A series of the presidential primary elections and caucuses held in each state and t13 KB (1,996 words) - 16:23, 1 December 2013
- are given by the sum of absolutely convergent series, show that --We can define power series4 KB (728 words) - 09:33, 31 January 2014
- ...ant. That is why we need other theories to improve our strategy, like Time Series and Stochastic Process.<br>The weather model and PageRank made by us are ve19 KB (3,004 words) - 09:39, 23 April 2014
- ...ode of a computer program can take. Flow in a graph is depicted using a series of arrows and nodes that display the route one can travel to each node. Eac6 KB (1,108 words) - 08:29, 27 April 2014
- This is the first series of NSF funded summer schools in analysis at the2 KB (292 words) - 09:56, 30 January 2014
- For what values of <math>z</math> is the series ...dius of convergence as the original series. Should we try to decompose the series somehow? For example, we can write4 KB (620 words) - 13:10, 18 February 2014
- ...alculate the Fourier series coefficients of a period CT signal (DT Fourier series will NOT be on the exam). (3.28a(subparts abc), 3.22, 3.31, 3.28d, 3.47) * Tables for [[Media:ECE301Summer2016_table3p1.png| Fourier series]], [[Media:ECE301Summer2016_table4p1.png| CTFT properties]], and [[Media:EC6 KB (765 words) - 13:35, 4 August 2016
- ...e Lang's ''Complex Analysis'' has a nice section dealing with formal power series.2 KB (363 words) - 14:54, 25 August 2014
- == A Guide to Taylor and Maclaurin [[PowerSeriesFormulas|Series]] == <pre> keyword: taylor series, maclaurin series </pre>9 KB (1,632 words) - 18:19, 27 February 2015
- *[[Geometric_Series_Explanation|Geometric Series Explanation]] by [[user:amcgail|Alec McGail]]3 KB (359 words) - 04:26, 16 May 2014
- ...m_{n=0}^\infty x^{n!}</math>. Show the radius of convergence of this power series is <math>1</math>. Let <math>u</math> be a root of unity. Show that <math>\ ...fty |x|^{n!} \leq \sum_{n=0}^\infty |x|^n = \frac{1}{1-|x|}</math>, so the series is absolutely convergent and thus convergent at each point. Thus <math>R \g10 KB (1,792 words) - 05:43, 10 August 2014
- .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier Series Example]2 KB (380 words) - 08:18, 2 December 2014
- *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,9 KB (1,320 words) - 04:46, 11 September 2014
- ...> <font size= 4> is a periodic function , so we can expand it to Fourier series. </font size>4 KB (610 words) - 18:55, 16 March 2015
- ...function of a frequency as the variable, <math>\omega</math>. The Fourier series is:3 KB (515 words) - 20:02, 16 March 2015
- ...function of a frequency as the variable, <math>\omega</math>. The Fourier series is:3 KB (535 words) - 19:30, 29 September 2014
- ...ng signals x[n] (if possible). How does your answer relate to the Fourier series coefficients of x[n]?2 KB (295 words) - 06:30, 29 September 2014
- ...will define the a function <math>p_T(t)</math> as pulse train function, or series of time-shifted impulses:4 KB (734 words) - 18:56, 16 March 2015
- ...explain some of the less intuitive steps, such as when you use the Fourier series representation of an impulse train. Well done, overall. ...easy to follow order. One thing you could add is how you used the Fourier Series representation of the impulse train in your Fourier Transform of the comb.6 KB (1,033 words) - 05:33, 15 October 2014
- ...ng signals x[n] (if possible). How does your answer relate to the Fourier series coefficients of x[n]?8 KB (1,362 words) - 11:21, 10 October 2014
- The series of plots is great if you already have a decent understanding of upsampling,6 KB (1,072 words) - 05:42, 15 October 2014
- *[[Geometric_Series_Explanation|Tutorial on the geometric series]], by [[user:amcgail | Alec McGail]], member of [[Math_squad | Rhea's Math4 KB (446 words) - 05:56, 22 October 2014
- ...lectures. These slectures were based on Professor Charles Bouman's lecture series (lectures 5-9) of Digital Image Processing ([[ECE637|ECE 637]]). Because th2 KB (259 words) - 19:30, 9 February 2015
- Hint: To factor H(z), use the geometric series and the fact that the roots of the polynomial4 KB (640 words) - 06:37, 3 November 2014
- ...r transform of a pulse-train (a sequence of impulses multiplied by Fourier series coefficients). After discretizing the voiced phoneme, we saw that the DT fi2 KB (329 words) - 06:44, 24 November 2014
- The Infinite Geometric Series formula is used in most problems involving Inv. Z transform. \text{Infinite Geometric Series: }6 KB (1,019 words) - 18:11, 23 February 2015
- *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,10 KB (1,356 words) - 13:19, 19 October 2015
- .../www.projectrhea.org/rhea/images/f/f7/Fourier_series_expansion.pdf Fourier Series Example]2 KB (384 words) - 11:44, 21 April 2015
- We use [[ECE 600 Prerequisites Basic Math|Taylor Series]]: <math class="inline">\sum_{r=1}^{\infty}r\left(1-p\right)^{r}=\frac{1-p}4 KB (698 words) - 01:35, 10 March 2015
- ...llel to get a 2.4 ohm resistor. Add this with the 4 and 5 ohms that are in series to get an equivalent resistance of 11.4 ohms.1 KB (172 words) - 08:21, 13 April 2015
- ...e the ratio of the 4 ohm resistor divided by the sum of the resistances in series, which is 9 ohms, and multiply by the source voltage of 10 volts. The answ979 B (135 words) - 17:08, 14 April 2015
- ...he end. The circuit should now be two 6 Farad and one 3 Farad capacitor in series. Combine these like resistors in parallel to get the final answer of 1.5 Fa1 KB (150 words) - 19:38, 1 May 2015
- ...inductors in parallel to get 12/7 Henrys. Then add this to the 2 Henry in series to get the final answer of 26/7 Henrys.906 B (129 words) - 19:31, 1 May 2015
- The first step would be to simplify the circuit by turning it into a series combination. ...ner. Capacitors in parallel act like resistors in series and capacitors in series act like resistors in parallel.1 KB (172 words) - 19:07, 26 April 2015
- ...ms. This tests a student's ability to combine resistors in parallel and in series.406 B (60 words) - 16:09, 2 May 2015
- Three resistors R_1, R_2 and R_3 are connected in series, with resistances of 1 ohm, 3 ohm and 5 ohm respectively. There is a volta ...urrent sources connected in series along with three resistors connected in series to their thevenin equivalent.2 KB (239 words) - 12:50, 3 May 2015
- ...ch makes that 4 ohms, and the 4 ohm and 5 ohm resistor on the right are in series as well so that becomes 9 ohms. After that there will be a 4 ohm resistor o1 KB (195 words) - 01:43, 7 May 2015
- ...ch makes that 4 ohms, and the 4 ohm and 5 ohm resistor on the right are in series as well so that becomes 9 ohms. After that there will be a 4 ohm resistor o1 KB (195 words) - 01:54, 7 May 2015
- Chap 3. Fourier Series for Periodic Signals6 KB (748 words) - 21:35, 10 August 2015
- where <math>a_k</math> are the Fourier Series coefficients of the function. To find Fourier series coefficients coefficients, we use the formula5 KB (812 words) - 13:08, 19 October 2015
- ...ng signals x[n] (if possible). How does your answer relate to the Fourier series coefficients of x[n]?2 KB (373 words) - 11:36, 5 October 2015
- ...ng signals x[n] (if possible). How does your answer relate to the Fourier series coefficients of x[n]? ...N-1} e^{jk \frac{2\pi}{N} n} \text{ (Writing }s_N[n] \text{ as its Fourier series.)} \\9 KB (1,594 words) - 15:36, 20 October 2015
- Hint: To factor H(z), use the geometric series and the fact that the roots of the polynomial4 KB (625 words) - 13:17, 16 November 2015
- ...he lungs from the vocal tract. The vocal tract filter is then modeled by a series of values. This allows the sound and the frequency to be separated. By reco9 KB (1,777 words) - 23:23, 21 November 2015
- ...sume the reader has a good intuitive understanding of the CTFT and Fourier series, and is generally familiar with the DTFT.12 KB (2,004 words) - 20:37, 2 December 2015
- We now recall that the sum of an infinite geometric series can be expressed as6 KB (973 words) - 00:57, 1 February 2016
- Introduction to Fourier Series (by R. Fefferman)1 KB (180 words) - 15:24, 16 February 2016
- ** Fourier series representation of CT periodic signals and FS properties.2 KB (358 words) - 21:09, 1 August 2016
- Fourier Series Representation:607 B (86 words) - 00:27, 6 July 2016
- *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,10 KB (1,357 words) - 17:02, 14 September 2016
- Hint: To factor H(z), use the geometric series and the fact that the roots of the polynomial3 KB (503 words) - 15:44, 8 November 2016
- ...thematical manipulations that is related to the power series and geometric series. More on this will be discussed in the next sections.10 KB (1,800 words) - 10:41, 27 November 2016
- ...\Omega</math> at <math>144</math> MHz. If we can add some capacitance in series with the antenna, we can kill off the reactive component and get <math>57 \ So a 24 pF capacitor should be added in series to improve matching.11 KB (1,666 words) - 02:18, 30 November 2016
- *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,10 KB (1,357 words) - 09:45, 8 January 2017
- | [[The Laurent Series in DSP]]3 KB (448 words) - 23:55, 23 April 2017
- <big>'''The Laurent Series in DSP'''</big> ...wers of the complex variable (represented by '''z''') as well. The Laurent Series is the link in DSP between the Discrete Fourier Transform ('''DFT''') and t6 KB (931 words) - 23:40, 23 April 2017
- ...tudents loathe taking limits specifically as they approach infinity. This series should not be an introduction to limits nor should it replace a strict defi7 KB (1,344 words) - 01:36, 1 November 2017
- ...tudents loathe taking limits specifically as they approach infinity. This series should not be an introduction to limits nor should it replace a strict defi15 KB (2,678 words) - 04:42, 14 February 2020
- ...Strictly, the theorem is derived from the matrix exponential of the power series for <math>e^A</math>, while we don't prove it here, but use a more intuitiv9 KB (1,504 words) - 23:12, 21 November 2017
- ...ase portrait. A similar concept we can refer to is the expansion of Taylor series. It is not a linearisation, but using a method to approach the exact functi By the expansion of Taylor series for two-variable functions, we have10 KB (1,613 words) - 23:16, 21 November 2017
- ...Strictly, the theorem is derived from the matrix exponential of the power series for <math>e^A</math>, while we don't prove it here, but use a more intuitiv8 KB (1,377 words) - 04:04, 19 November 2017
- In order to create your spectrogram you first need to create a series of windowed DFTs. The Matlab function 'spectrogram' makes processing & disp3 KB (524 words) - 19:45, 2 December 2017
- | Table of CT Fourier series coefficients and properties (include some computations and proofs if you ar | Table of DT Fourier series properties with proofs (yes! I'm fearless ;D ) and list of common DTFT coef4 KB (618 words) - 12:12, 1 May 2018
