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380 B (65 words) - 06:08, 5 January 2009
- #REDIRECT [[Fourier Series representation of continuous-time periodic signals (ECE301Summer2008asan)]]102 B (11 words) - 10:16, 21 November 2008
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249 B (52 words) - 20:30, 1 July 2008
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- ##[[Continuous-Time and Discrete-Time_(ECE301Summer2008asan)|Continuous-Time and Discrete-Time]] ...e periodic signals_(ECE301Summer2008asan)|Fourier Series representation of continuous-time periodic signals]]7 KB (921 words) - 05:08, 21 October 2011
- Determine the Fourier Series co-efficient for the following continuous time periodic signals.Show the de1 KB (182 words) - 10:05, 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) - 09:57, 21 November 2008
- #REDIRECT [[Fourier Series representation of continuous-time periodic signals (ECE301Summer2008asan)]]102 B (11 words) - 10:16, 21 November 2008
- [[Category: Fourier]] [[Category: Fourier Series]]5 KB (834 words) - 16:26, 23 April 2013
- [[Category: Fourier]] [[Category: Fourier Transform]]3 KB (431 words) - 16:29, 23 April 2013
- (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) - 06:20, 5 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) - 10:40, 1 May 2009
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==2 KB (384 words) - 09:56, 16 September 2013
- [[Category:Fourier series]] == Example of Computation of Fourier series of a CT SIGNAL ==1 KB (195 words) - 10:07, 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) - 15:13, 7 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) - 13:38, 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) - 05:49, 16 September 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) - 16:27, 3 December 2008
- CT Fourier Transform Pair DT Fourier Transform Pair21 KB (3,312 words) - 10:58, 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 ...tion, aliasing, and [[Nyquist_ECE301Fall2008mboutin]] theorem to represent continuous-time signals in discrete time so that they can be processed by digital computers7 KB (1,017 words) - 09:05, 11 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) - 17:13, 22 October 2010
- ##[[Continuous-Time and Discrete-Time_Old Kiwi]] ##[[Fourier Series representation of continuous-time periodic signals_Old Kiwi]]4 KB (531 words) - 10:32, 25 July 2008
- Determine the Fourier Series co-efficient for the following continuous time periodic signals.Show the de988 B (163 words) - 15:25, 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) - 10:10, 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) - 08:29, 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) - 10:55, 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) - 08:20, 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) - 02:44, 9 July 2009
- *Continuous Time Fourier Series (CTFS) ...engineering.purdue.edu/~bouman/ece301/notes/pdf2/FourierSeries.pdf Fourier Series Expansion]6 KB (785 words) - 05:02, 1 March 2010
- ...nformation is conveniently packaged within the complex coefficients of the Fourier Transform. So if it is understood that a sinsuoid must be sampled twice wit ...tation of x(t) with the frequency domain representation of p(t). Since the Fourier Transform of the comb is also an impulse train in the frequency domain, the8 KB (1,452 words) - 05:49, 16 September 2013
- ==Fourier Analysis and the Speech Spectrogram== ...ch frequency component's contribution to the original signal. Finally, the Fourier Transform is calculated to express these coefficients as a function of freq8 KB (1,268 words) - 06:16, 23 September 2009
- *[[PowerSeriesFormulas|Power Series]] (used in [[ECE301]], [[ECE438]]) **[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of radial frequency- in radians3 KB (294 words) - 14:44, 12 March 2015
- '''Taking Fourier's torch forward...''' ...e first person that comes to mind when someone says "SIGNAL PROCESSING" is Fourier.10 KB (1,646 words) - 10:26, 18 March 2013
- ...to take any courses related to signal processing. Also, your concepts of Fourier and Z transforms should be absolutely clear for signal processing (DSP ECE ...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) - 16:32, 21 April 2013
- ...teral z-Transform. Sampling, quantization, and discrete-time processing of continuous-time signals. Discrete-time nonlinear systems: median-type filters, threshold de ...transforms, bilateral Laplace transforms, Z transforms, and discrete time Fourier transforms and an ability to compute the transforms and inverse transforms3 KB (394 words) - 06:08, 4 May 2010
- [[Category:discrete Fourier transform]] In [[ECE301|ECE 301]] students were introduced to the concept of Fourier Transforms. No matter whom you had been taught by it seemed intimidating an13 KB (2,348 words) - 12:25, 2 December 2011
- *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,9 KB (1,331 words) - 06:15, 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) - 04:39, 26 September 2011
- [[Category:Fourier series continuous-time]] = This pages contains exercises to practice computing the Fourier series of a CT signal =5 KB (797 words) - 08:43, 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) - 08:44, 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) - 07:08, 15 February 2011
- [[Category:Fourier series]] =Exercise: Compute the Fourier series coefficients of the following periodic signal:=6 KB (999 words) - 12:00, 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) - 16:13, 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) - 05:50, 30 September 2010
- ...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 (4,787 words) - 17:21, 22 October 2010
- Recall, the Discrete Fourier Transform is defined as follows - ...of the N samples comprising one period of x[n] equals N times the Fourier series coefficients.19 KB (3,208 words) - 10:23, 30 October 2011
- *Video Extract of a talk by Prof. Joe Havlicek explaining the meaning of the Fourier transform very clearly using music. *Computing the Fourier series coefficients of a CT signal18 KB (2,485 words) - 09:36, 11 November 2011
- ...ll_2007_mboutin_Common_Questions_on_FS/FT_Answered_By_Mimi|Questions about Fourier transform of periodic signals, answered by Prof. Mimi]] *[[ECE_301_Fall_2007_mboutin_DT_Fourier_Series_in_Matlab|DT Fourier series with a single command in MATLAB]]6 KB (818 words) - 05:12, 16 September 2013
- *[[PowerSeriesFormulas|Power Series]] *[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml">ω</spa890 B (101 words) - 16:30, 21 April 2013
- [[Category:Fourier series]] ...tegory:Problem_solving|Practice Question]] on Computing the Fourier Series continuous-time signal=4 KB (594 words) - 11:59, 16 September 2013
- ..._Fourier_series_practice_problems_list|Problems on continuous-time Fourier series]] *[[CT_Fourier_transform_practice_problems_list|Problems on continuous-time Fourier transform]]12 KB (1,768 words) - 09:25, 22 January 2018
- **[[Problem Generalized Geometric Series Formula ECE438F11|When is this summation formula valid?]] **[[Practice CTFT from omega to f step function|Obtain the Fourier transform in terms of f of a step function (from FT in terms of omega)]]10 KB (1,359 words) - 02:50, 31 August 2013
- *Fourier Series **PM's discussion of Linear algebra and Fourier series: pp. 232-240, 247-253, 399-409,9 KB (1,341 words) - 02:52, 31 August 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) - 04:44, 26 September 2011