Create the page "Series" on this wiki! See also the search results found.
Page title matches
-
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
-
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
-
55 B (8 words) - 15:35, 21 October 2008
- Find the Fourier Sine Series for:408 B (71 words) - 12:35, 6 December 2008
-
143 B (25 words) - 10:20, 1 October 2008
- #REDIRECT [[Finite Geometric Series Formula_ECE301Fall2008mboutin]]67 B (8 words) - 08:50, 1 October 2008
-
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
-
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
-
37 B (5 words) - 13:11, 22 July 2009
-
94 B (15 words) - 17:08, 22 July 2009
-
44 B (5 words) - 17:47, 22 July 2009
-
73 B (11 words) - 18:01, 22 July 2009
- CT Fourier Series Expansion - Walter Mulflur119 B (23 words) - 18:26, 22 July 2009
-
145 B (18 words) - 04:36, 23 July 2009
- [[Image:geometric series.doc]]30 B (4 words) - 22:36, 22 July 2009
-
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