Create the page "Fourier Transform" on this wiki! See also the search results found.
- ...xercise_Fourier_series_computation|A collective page to practice computing Fourier series of a CT signal]] ...cise_Fourier_series_computation_DT|A collective page to practice computing Fourier series of a DT signal]]2 KB (211 words) - 05:39, 26 September 2011
- ...n terms of frequency "f" and discussed its relationship with the frequency transform in terms of <math>\omega</math>. The "rep" and "comb" functions were introd *[[Student_summary_CT_DT_Fourier_transform_ECE438F09|Summary of CT and DT Fourier transforms]]1 KB (212 words) - 04:24, 27 October 2010
- ...of CT Fourier transform pairs and properties]], which used the CT Fourier transform in terms of <math>\omega</math> in radians. (You should have seen and used to obtain a corresponding pair/property for the CT Fourier transform in terms of frequency f (in hertz). In each case, simplify your answer as m803 B (115 words) - 08:50, 25 August 2010
- ...ransform of the "comb" and "rep" functions. We also defined the DT Fourier transform and computed the DTFT of a complex exponential.660 B (96 words) - 04:26, 29 August 2011
- ...urier transform does not exist. The first student who creates a table of z-transform on Rhea with at least 15 signals will get a 0.5% bonus. (You must use the s *[[Student_summary_z_transform_ECE438F09|A student summary of the z-transform and its properties]]2 KB (233 words) - 07:52, 7 September 2010
- ...th>\omega</math>. Also, I would not use the "mathcal" (curly) font for the transform variable, just a capital letter instead. </span> --[[User:Mboutin|Mboutin]] ...span class="texhtml">f</span> in hertz per time unit) [[More on CT Fourier transform|(info)]]6 KB (823 words) - 12:26, 15 September 2010
- [[Category:Fourier transform]] Continuous-time Fourier Transform Pairs and Properties5 KB (687 words) - 21:01, 4 March 2015
- =How to obtain the CT Fourier transform formula in terms of f in hertz (from the formula in terms of <math>\omega</491 B (88 words) - 10:57, 15 September 2010
- =How to obtain the Inverse DT Fourier Transform formula in terms of f in hertz (from the formula in terms of <math>\omega</732 B (127 words) - 10:58, 15 September 2010
- ...een the poles/zeros of the z-transform and the magnitude of the DT Fourier transform. We also began talking about sampling. It was announced that the deadline f Several students asked me after class how to obtain the ROC of a z-transform. There is a really good example on1 KB (188 words) - 07:19, 15 September 2010
- ...on allows us to fit functions to the known ones given by the known Fourier Transform pairs table. ...obtaining the capital letters quickly are from learning to do the Laplace Transform in [[ECE202|ECE 202]].4 KB (602 words) - 13:49, 3 March 2015
- ...der hold. We then begin talking about the relationship between the Fourier transform of a signal x(t) and the sampling756 B (100 words) - 11:55, 17 September 2010
- <math>\text{1. Find inverse Z-transform of } \frac{1}{1-az^{-1}} \text{ where } |z|<|a|. \,\!</math> <math>\text{2. Find inverse Z-transform of } \frac{3z^{-3}}{1-az^{-1}} \text{ where } |z|<|a|. \,\!</math>2 KB (315 words) - 10:39, 11 November 2011
- ...elationship between the Fourier transform of a signal x(t) and the Fourier transform of its sampling y[n]=x(nT). We then talked about resampling. More specifica811 B (114 words) - 04:34, 27 October 2010
- a) What is the relationship between the DT Fourier transform of x[n] and that of y[n]=x[3n]? (Give the mathematical relation and sketch b) What is the relationship between the DT Fourier transform of x[n] and that of2 KB (327 words) - 03:55, 24 September 2010
- ...r you, trust me!) We then obtained the relationship between the DT Fourier transform of <math>x_1[n]</math> and that of an upsampling of x[n] by a factor D. Fr1 KB (220 words) - 16:07, 22 September 2010
- [[Category:discrete-time Fourier transform]] =Discrete-time Fourier transform of a window function=1 KB (243 words) - 09:25, 29 December 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 T2 KB (292 words) - 17:13, 30 September 2010
- Let <math>X_N[k],k=0,...,N-1</math> denote the N point Discrete Fourier Transform (DFT) of the signal x[n],n=0,...,N-1. a. Compute <math>X(e^{j\omega})</math> the Fourier Transform of x[n].2 KB (439 words) - 10:41, 11 November 2011
- ...Space_Fourier_Transform_%28frequences_in_hertz%29|Continuous-space Fourier transform]]2 KB (190 words) - 11:23, 29 May 2013
- = Discrete Fourier Transform = ...et x[n] be a discrete-time signal with Period N. Then the Discrete Fourier Transform X[k] of x[n] is the discrete-time signal defined by521 B (90 words) - 15:35, 8 October 2010
- [[Category:discrete Fourier transform]] = Discrete Fourier Transform =1 KB (219 words) - 13:25, 2 December 2011
- ...strate the leakage effect, we [[DTFT_Window_Function|looked at the Fourier transform of a window function]].985 B (141 words) - 15:57, 8 October 2010
- ...structing the DTFT of a finite duration signal from the [[Discrete Fourier Transform|DFT]] of its periodic repetition. The formula was observed to hold whenever ...ute Fourier series, as computing DFTs is essentially the same as computing Fourier series coefficients.1 KB (158 words) - 15:59, 8 October 2010
- Recovering from the first midterm exam, we attacked the Fast Fourier Transform (FFT). More specifically, we illustrated how "decimating by a factor two" y632 B (85 words) - 04:36, 27 October 2010
- [[Category:discrete Fourier transform]] Topic: Discrete Fourier Transform5 KB (766 words) - 14:22, 21 April 2013
- Compute the discrete Fourier transform of the following discrete-time signals: How do your answers relate to the Fourier series coefficients of x[n]?4 KB (661 words) - 11:22, 30 October 2011
- [[Category:Fourier transform]] == The Continuous Time Fourier Transform (CTFT) ==4 KB (746 words) - 08:47, 11 November 2013
- ...m of x(t) and sketch it. Obtain a mathematical expression for the Fourier transform of y[n] and sketch it. Fourier Transform of x(t) = 17 KB (1,273 words) - 12:42, 26 November 2013
- *[[DTFT_Window_Function|Fourier transform of a DT window function]]2 KB (260 words) - 12:42, 22 October 2010
- [[Category:Fourier transform]] [[Discrete-time_Fourier_transform_info|Discrete-time (DT) Fourier Transforms]] Pairs and Properties7 KB (1,037 words) - 21:05, 4 March 2015
- ...aussian noise on both x and y. In some cases, PCA corresponds to a Fourier transform, such as the DCT used in JPEG image compression.31 KB (4,787 words) - 18:21, 22 October 2010
- [[Category:discrete Fourier transform]] [[Category:Fourier transform]]1 KB (166 words) - 08:50, 11 November 2013
- Taking Z transform, <br/> Taking the Fourier transform, <br/>4 KB (643 words) - 04:31, 1 November 2010
- Recall, the Discrete Fourier Transform is defined as follows - ...The DFT of the N samples comprising one period of x[n] equals N times the Fourier series coefficients.19 KB (3,208 words) - 11:23, 30 October 2011
- [[Category:Fourier transform]] Table of Continuous-space (CS) Fourier Transform Pairs and Properties8 KB (1,167 words) - 15:32, 23 April 2013
- ...second part of the lecture was spent talking about the short-time Fourier transform and sound spectograms. The issue of window function length and shapes were2 KB (234 words) - 08:49, 11 November 2010
- ...finished the lecture by giving a filtering view of the short-time Fourier transform, the proof of which will be given in the next lecture.2 KB (347 words) - 13:13, 12 November 2010
- *2D Rect function and its Fourier transform *View the Fourier transform of the 2D rect function on [[Student_summary_spectral_analysis_2D_signalsb|764 B (120 words) - 10:11, 11 November 2011
- ...e "[[:Category:continuous-space Fourier transform|continuous-space Fourier transform]]". [[Category:continuous-space Fourier transform]]933 B (122 words) - 09:32, 11 November 2011
- ...s put on understanding how to extent these to the 2D versions of the other Fourier transforms we say (e.g., DTFT and DFT). We also defined some basic 2D signa [[Category:continuous-space Fourier transform]]977 B (131 words) - 09:30, 11 November 2011
- ...}\mathbf{Y}\right)}f_{\mathbf{XY}}\left(x,y\right)dxdy=\text{2-dim Fourier transform}.</math> Inverse Fourier transform relation:4 KB (711 words) - 11:32, 30 November 2010
- Taking Fourier Transform on both sides, <br/>3 KB (504 words) - 19:54, 17 November 2010
- ..."inline">\mathbf{X}\left(t\right)</math> , real or complex, is the Fourier transform of the autocorrelation function: ...{\infty}S_{\mathbf{XX}}\left(\omega\right)e^{i\omega\tau}d\omega</math> . (Fourier inversion formula)3 KB (492 words) - 11:53, 30 November 2010
- | align="right" style="padding-right: 1em;" | Z-Transform | align="right" style="padding-right: 1em;" | Time Shift Property of Z-Transform3 KB (518 words) - 16:06, 2 December 2010
- =About the Multiplication Property of the continuous-time Fourier transform= The multiplication property of the continuous-time Fourier transform can be stated as follows:751 B (105 words) - 16:17, 30 November 2010
- [[Category:continuous-space Fourier transform]]1 KB (174 words) - 09:31, 11 November 2011
- Well, we know that <math>e^{j2\pi f_0 t}</math> is an impulse function in the Fourier domain. Can we guess that this would be a shifted delta? ...pace_Fourier_Transform_%28frequences_in_hertz%29| Continuous-Space Fourier Transform.]]1 KB (210 words) - 11:17, 22 November 2010
- == Continuous Space Fourier Transform of 2D Signals == ...-size: 110%;" colspan="2" | Continuous Space Fourier Transform (2D Fourier Transform)8 KB (1,206 words) - 22:08, 30 November 2010
- ...periodic. Which is very convenient to implement DSP methods using Fourier transform.3 KB (409 words) - 08:53, 11 November 2013
