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- ==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. The equation for determining the Fourier coefficients of a DT signal is2 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]. '''b)''' Given the Fourier coefficients, x[n] can be expressed as follows: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
- == DT signal & its Fourier Coefficients == 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
- 2. x(t) is periodic with period T = 4 and Fourier coefficients <math> \ a_k </math>. 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
- [[Category:Fourier transform]] [[Category:inverse Fourier transform]]1 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
- ...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
- [[Category:Fourier transform]] == Example of Computation of Fourier transform of a CT SIGNAL ==2 KB (353 words) - 12:23, 16 September 2013
- Fourier Series Transformation - I had problems in determining which frequency is the funde Fourier Transform -402 B (70 words) - 16:57, 8 October 2008
- [[Category:Fourier transform]] == Example of Computation of Fourier transform of a CT SIGNAL ==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
- '''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> defin Next, we procede to calculate <math>a_k\,</math> Notice that the fourier transformation of a square signal is made up from sin waves with infinite n2 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
- 1) Take the fourier transform of every term: Now finally to find <math>\,h[n]</math>, take the inverse Fourier Transform:4 KB (633 words) - 11:13, 24 October 2008
- ==Continuous Time Fourier Transform Pair for Aperiodic and Periodic Signals== The Fourier transform exists if the signal is absolutely integrable or if the signal ha3 KB (465 words) - 14:38, 24 October 2008
- ...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 Period Taking the Fourier Transform of this function yields,1 KB (274 words) - 06:49, 16 September 2013
- We have a series of impulses in the time domain, but we want them to extend across, so we mu This is most easiest performed in the frequency domain with Fourier transforms. To most easily find <math>h_2(t)</math>, make sure that :2 KB (411 words) - 17:16, 17 November 2008
- [[Category:geometric series]] ...omega}\!</math> with <math>\omega\!</math> real, this summation equals the Fourier Transform of <math>h[n]\!</math>. When <math>z\!</math> is not restricted3 KB (452 words) - 10:28, 4 February 2013
- In order to get further insight into the relationship between the Fourier Transform and the Z-Transform it is useful to look at the complex plane or ...ourier transform as the z-transform on the unit circle, the periodicity of Fourier transform is easily seen.3 KB (537 words) - 17:27, 3 December 2008
- CT Fourier Transform Pair DT Fourier Transform Pair21 KB (3,312 words) - 11:58, 5 December 2008
- ...transforms, bi-lateral Laplace transforms, Z transforms, and discrete time Fourier transforms and an ability to compute the transforms and inverse transforms ===[[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
- ...nce of Gaussian noise on both x and y. In some cases, PCA corresponds to a Fourier transform, such as the DCT used in JPEG image compression. 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
- ==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
- Even odd Fourrier Series Coefficients ...a real periodic sequence with fundamental period <math>{N}_{0}</math> and Fourier coefficients <math>{c}_{k}={a}_{k}+j{b}_{k}</math> where ak and bk are both868 B (154 words) - 17:36, 30 March 2008
- 1: Take the Fourier transform ([Meaning of Fourier Transform]) of the equation, ...sion ([Guide to Partial Fraction Expansion]) to facilitate use of inverse Fourier transform,1 KB (198 words) - 19:08, 4 April 2008
- ##[[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
- *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
- ...e exam will cover all material covered ''since'' the Midterm (including CT Fourier Transform). A list of topics include * CT Fourier Transform5 KB (643 words) - 11:55, 6 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
- 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