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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
- (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