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- :[[ECE438|ECE438: "Digital Signal Processing with Applications"]] *[[Discrete-time_Fourier_transform_info|Discrete-time Fourier transform (DTFT)]]2 KB (209 words) - 13:07, 9 September 2022
- *[[ECE438|ECE438: "Digital Signal Processing with Applications]], the main page for this popular senior level ...tal_signal_processing_practice_problems_list|Practice problems on "Digital Signal Processing"]]6 KB (877 words) - 07:22, 21 March 2013
- ##[[Signal Energy and Power_(ECE301Summer2008asan)|Signal Energy and Power]] ...ntinuous-Time and Discrete-Time_(ECE301Summer2008asan)|Continuous-Time and Discrete-Time]]7 KB (921 words) - 06:08, 21 October 2011
- (a) Derive the condition for which the discrete time complex exponetial signal x[n] is periodic.2 KB (270 words) - 10:59, 21 November 2008
- (a) The FT of <math>X(j\omega)</math> of a continuous-time signal x(t) is periodic (b) The FT of <math>X(e^{j\omega})</math> of a continuous-time signal x[n] is periodic4 KB (777 words) - 11:49, 21 November 2008
- .../math> of the signal x[n] is also periodic with period N. For the periodic signal x[n], find the values of <math>a_0,a_1,...,a_{N-1}.</math> Express your an 1)b)Evaluate the value of <math>(1/N)*\sum_{n=<N>}|x[n]|^2</math> for the signal x[n] given in part (a).4 KB (815 words) - 10:57, 21 November 2008
- The command is ifft. It takes in a vector representing your signal and produces a vector of the fourier series coefficients. Two examples are The signal is represented by the graph below and is periodic for all time:5 KB (834 words) - 17:26, 23 April 2013
- :[[2015_Spring_ECE_438_Ersoy|ECE438: "Digital SIgnal Processing", Prof. Ersoy]] :[[2014_Fall_ECE_438_Boutin|ECE438: "Digital SIgnal Processing"]]13 KB (1,570 words) - 13:53, 7 August 2018
- [[Category:signal processing]] 2) Digital Signal = a signal that can be represented by a sequence of 0's and 1's.3 KB (532 words) - 06:43, 16 September 2013
- *<math>\omega_m</math>: Maximum frequency in a band-limited signal (<math> = max(\{|w|\ :\ w \neq 0\})</math> ...hen the band-limited signal can be uniquely reconstructed from the sampled signal.2 KB (406 words) - 11:08, 12 November 2010
- [[Category:signal processing]] <li>Signal Characteristics</li>3 KB (508 words) - 06:43, 16 September 2013
- [[Category:signal processing]] <p><strong>Discrete-time:</strong> (a.k.a. Kronecher delta fn.)<br/>2 KB (408 words) - 06:43, 16 September 2013
- ! colspan="2" style="background: #bbb; font-size: 110%;" | Discrete-Time Domain *[[CT Time-averaged Power of a Signal over an infinite interval_ECE301Fall2008mboutin]] {{:CT Power of a Signal_8 KB (989 words) - 07:20, 5 February 2009
- ...Fourier transform of x[n], which is the sampled signal of continuous time signal x(t) <br>546 B (93 words) - 20:27, 18 February 2009
- ...at starts at -1e-4 and goes to 1e-4. The ideal sampler creates a discrete signal with 5 points each 5e-5 apart.844 B (152 words) - 18:26, 11 February 2009
- Note: PM refers to the official course book, Digital Signal Processing, 3rd edition, J.G. Proakis and D.G. Manolakis. ...due.edu/~bouman/ece438/lecture/module_1/1.1_signals/1.1.1_signal_types.pdf Signal Types]8 KB (1,226 words) - 11:40, 1 May 2009
- =Rhea Section for [[ECE438|ECE 438: Digital Signal Processing with Applications]] Professor [[User:mboutin|Boutin]], Fall 20097 KB (1,067 words) - 12:05, 25 June 2010
- * [[HW1.5 Nicholas Browdues - Signal Power and Energy_ECE301Fall2008mboutin]] * [[HW1.5 Ben Laskowski - Signal Power and Energy_ECE301Fall2008mboutin]]24 KB (3,272 words) - 06:58, 1 September 2010
- A discrete time signal is periodic if there exists T > 0 such that x(t + T) = x(t) A continuous time signal is periodic if there exists some integer N > 0 such that x[n + N] = x[n]1 KB (205 words) - 07:20, 14 April 2010
- A continuous time signal is periodic if there exists a value <math> T </math> such that <math> x(t + A discrete time signal is periodic if there exists a value <math> N </math> such that <math> X[n +1 KB (169 words) - 07:22, 14 April 2010
- ==Periodic Signal== In discrete time, a signal x[n] is considered a '''periodic signal''' if there exists a natural number N such that for all integers n, x[n+N]2 KB (279 words) - 07:18, 14 April 2010
- <math>x[n]=</math><math>j^{n}</math> is a discrete time (DT) periodic signal. It's period is 4*k, where k is an integer. However, it's fundamental perio <math>x[n]=\cos{n}</math> is an example of a non-periodoc signal because there is not integer value for n such that <math>x[n+N]=x[n]</math>883 B (143 words) - 07:24, 14 April 2010
- A continuous time signal x(t) is periodic if there exists T such that x(t + T) = x(t) for all t. <br A discrete time signal x[n] is periodic if there exists some integer N such that x[n + N] = x[n] f1 KB (192 words) - 07:28, 14 April 2010
- A Continuous Time signal is said to be periodic if there exists <math>\ T > 0</math> such that <math A Discrete Time signal is said to be periodic if there exists <math>\ N > 0</math> (where N is an1 KB (221 words) - 12:21, 5 September 2008
- == Periodic Signal Definition == *For a Continuous-time signal1 KB (209 words) - 09:49, 5 September 2008
- This is a discrete signal too.677 B (97 words) - 20:44, 4 September 2008
- ...e'' function, this is not the case. The definition for a periodic discrete signal is that there exists an ''integer'' <math>N > 0</math> such that <math>x[n1 KB (189 words) - 21:21, 4 September 2008
- A periodic signal is one that for a given real number "a": ===Periodic Signal===1 KB (195 words) - 07:20, 14 April 2010
- == Discrete time periodic signal Example == [[Image:dts_ECE301Fall2008mboutin.png|200px|thumb|left|Periodic Discrete Time Signal]]575 B (98 words) - 10:58, 5 September 2008
- ==Periodic Signal== A continuous time (CT) signal is periodic if it there exists some T such that x(t+T)=x(t) for all t.811 B (148 words) - 13:12, 5 September 2008
- ...s say you put signal x into the system and the output is Ax. Then you put signal y into the system and the output is By. Then a linear system with signals2 KB (352 words) - 11:17, 12 September 2008
- ...follows a square effect because of the <math>k^2+1</math> that each output signal is affected by.546 B (99 words) - 07:26, 11 September 2008
- '''Changing a Periodic Continuous Time Signal to a Non-Periodic Discrete Time Signal''' ...nsider the continuous time signal <math>x(t)=sin(t)</math>. Plotting this signal yields a smooth waveform that repeats itself with period <math>T=2\pi</math3 KB (536 words) - 11:07, 10 September 2008
- == Continuous to discrete time signal== I used the signal <math>y = cos(n)\,</math> as the signal of my graph1 KB (196 words) - 20:31, 10 September 2008
- === Periodic Continuous Time Signal === ...y people used in Homework 1 for their example of a periodic function. The signal repeats itself at intervals of <math> 2\pi </math>.1 KB (196 words) - 11:07, 10 September 2008
- == CT periodic signal == An example of a periodic signal in continuous time is:1 KB (227 words) - 17:24, 10 September 2008
- I chose to use the CT (continuous time)periodic signal: y(t) = cos(t). The signal can be expressed as both periodic and non-periodic in DT (discrete time).809 B (142 words) - 17:35, 10 September 2008
- A system is called time invariant if for any input signal x(t)(x[n]) and for any t0 belongs to R, the response to the shifted inputX( ...= 10 x(t-t0)where as a system is called time variant when we find an input signal for which the condition of time invariance is violated.2 KB (379 words) - 18:38, 10 September 2008
- ...ting two DT signals (one periodic and one non-periodic) from a periodic CT signal== Let <math>x(t) = sin (2\pi t),</math> which is a periodic CT signal2 KB (380 words) - 10:24, 11 September 2008
- ...ework 1 were boring (including mine) so I thought I'd broaden the periodic signal pool. I chose the CT signal: <math>x(t) = |2*cos(.5*t)|</math> . A graph of this signal in continuous time is shown below.1 KB (207 words) - 17:25, 11 September 2008
- Here I use the CT signal x=sin(2*pi*t) with a period of 1 sec: Producing a periodic discrete time signal from the signal above with sampling rate SR=0.01:727 B (118 words) - 16:11, 12 September 2008
- ...as Browdues has used in the previous Homework 1 assignment as my reference signal.1 KB (172 words) - 13:17, 12 September 2008
- ...ne of the signals in the left column, then the output is the corresponding signal in the right column:2 KB (368 words) - 10:26, 12 September 2008
- <b>Changing a Periodic Continuous Time Signal to a Non-Periodic Discrete Time Signal</b> The signal I chose for this part can be found [[HW1.4 Wei Jian Chan - Periodic and Non1 KB (186 words) - 16:07, 11 September 2008
- I choose y(t)=cos(t) as my continous signal. ...ple the signal y(t)=cos(t) at 100 Hz and so we get the following discrete signal which is periodic1 KB (207 words) - 21:44, 11 September 2008
- ...ere is a bug in this code. The timestep in this case makes the part of the signal that is plotted is considered to small to get a full sample.853 B (162 words) - 12:08, 12 September 2008
- 1.This is a sine function of period 2. Function is sin(pi*t). Continuous Signal. 2. '''Periodic DT Signal'''This is the discrete signal of the same function in 1 with sampling time of 0.075. I got the diagram on642 B (86 words) - 10:23, 12 September 2008
- Periodic signal ...of the frequency of the signal will result in a non-periodic Discrete Time signal.775 B (125 words) - 17:10, 12 September 2008
- ...ting two DT signals (one periodic and one non-periodic) from a periodic CT signal== I choose <math>x(t) = sin (2\pi t),</math> which is a periodic CT signal649 B (104 words) - 16:13, 12 September 2008
- A system is called "'''time invariant'''" if for any input signal x(t) in continuous time or x[n] in discrete time and for any time <math>t_0 A system is called "'''time variant'''" if for any input signal x(t) in continuous time or x[n] in discrete time and for any time <math>t_01 KB (193 words) - 18:59, 18 September 2008
- == Computing the Fourier series coefficients for a Discrete Time signal x[n] ==900 B (178 words) - 12:47, 25 September 2008
- The response to the input signal <math>z^n</math> is <math>H(z)z^n</math>, giving680 B (127 words) - 03:59, 15 October 2008
- In our textbook(Signal and System,second edition,oppenheim), If we look up p328 and p329, they ha2 KB (345 words) - 10:01, 23 October 2008
- ...e signal to discrete-time signal, process the discrete-time signal using a discrete-time system and convert it back to continuous time. ...and X(j<math>\omega\,</math>) be the continuous Fourier transform of that signal. Then,1 KB (214 words) - 08:00, 10 November 2008
- ...the uniformly spaced discrete samples are a complete representation of the signal if this bandwidth is less than half the sampling rate. ...signal and <math>X(W)\,</math> be the continuous Fourier transform of that signal2 KB (303 words) - 10:24, 10 November 2008
- Let <math>x(t)</math> be a signal with <math>X(\omega) = 0</math> when <math>|\omega| > \omega_m</math>. <math>\omega_m</math> Maximum frequencye for a band limited signal2 KB (349 words) - 12:09, 10 November 2008
- ...the uniformly spaced discrete samples are a complete representation of the signal if this bandwidth is less than half the sampling rate. ...signal and <math>X(w)\,</math> be the continuous Fourier transform of that signal (which exists if <math>x(t)\,</math> is square-integrable)2 KB (303 words) - 12:15, 10 November 2008
- ...AB. By use of sampling a continuous signal can be converted to a discrete signal, manipulated via a computer program and then converted back into a continuo1 KB (274 words) - 06:49, 16 September 2013
- ...u have used a good sampling rate, you should be able to reconstruct the CT signal without much fuss.829 B (155 words) - 16:53, 10 November 2008
- ...rm is used on continuous signal while z transform is used for the discrete signal. The z- transform of a general discrete signal x[n] is defined as2 KB (316 words) - 15:23, 3 December 2008
- For a D.T. signal <math>x[n]\,</math>, the z-Transform is defined as Any z-Transform will have a realm of convergence. For example, if your signal is:519 B (87 words) - 19:58, 3 December 2008
- #'''Signal Reconstruction Using Interpolation:''' the fitting of a continuous signal to a set of sample values ##Analog vs. Digital: The Show-down (A to D conversion -> Discrete-Time Processing System -> D to A conversion21 KB (3,312 words) - 11:58, 5 December 2008
- The z-Transform is the more general case of the discrete-time Fourier transform. For the DT Fourier transform <math>z = e^{j\omega }</mat ! Property !! Signal6 KB (938 words) - 06:59, 8 December 2008
- :(c) an ability to determine the response of linear systems to any input signal convolution in the time domain. [1,2,4;a,e,k] :(e) an ability to determine the response of linear systems to any input signal by transformation to the frequency domain, multiplication, and inverse tran7 KB (1,017 words) - 10:05, 11 December 2008
- #'''Signal Reconstruction Using Interpolation:''' the fitting of a continuous signal to a set of sample values ##Analog vs. Digital: The Show-down (A to D conversion -> Discrete-Time Processing System -> D to A conversion2 KB (254 words) - 07:05, 8 December 2008
- ##[[Signal Energy and Power_Old Kiwi]] ##[[ Discrete-time Fourir Transform_Old Kiwi]]4 KB (531 words) - 11:32, 25 July 2008
- (a) Derive the condition for which the discrete time complex exponetial signal x[n] is periodic.2 KB (259 words) - 17:17, 30 June 2008
- (a) The FT of <math>X(j\omega)</math> of a continuous-time signal x(t) is periodic (b) The FT of <math>X(e^{j\omega})</math> of a continuous-time signal x[n] is periodic4 KB (739 words) - 20:48, 30 July 2008
- .../math> of the signal x[n] is also periodic with period N. For the periodic signal x[n], find the values of <math>a_0,a_1,...,a_{N-1}.</math> Express your an 1)b)Evaluate the value of <math>(1/N)*\sum_{n=<N>}|x[n]|^2</math> for the signal x[n] given in part (a).4 KB (803 words) - 11:10, 22 July 2008
- Note: PM refers to the official course book, Digital Signal Processing, 3rd edition, J.G. Proakis and D.G. Manolakis. * Basic Signals and Signal Properties9 KB (1,237 words) - 09:29, 5 October 2009
- [[GPS Signal Processing]] --[[User:Kheldman|Kheldman]] [[HW3_Signal_Reconstruction_Interpolation|Signal Reconstruction for band-limited functions]] -- [[User:pclay|pclay]]4 KB (543 words) - 07:02, 25 August 2010
- ...can be used when only one period of the signal is analyzed. The DFT of a signal will be discrete and have a finite duration. <math>X[k] = Y(k \frac{ 2 \pi}{N})</math> where Y(w) is the DTFT of signal4 KB (695 words) - 06:46, 23 September 2011
- System 1: A discrete signal for the amount of toilet paper and how much is used in a period of time(one What is the signal and the system? : The signal would be a weight sensor on the toilet paper measuring how much is taken aw993 B (192 words) - 11:01, 23 June 2009
- [[Image:Discrete-Time Signal Processing - 2ed - Oppenheim.pdf]]63 B (9 words) - 11:55, 18 June 2009
- forms convolution of two discrete-time input signals. Note that the assume that a finite-length input signal is such that it is zero outside of3 KB (451 words) - 00:38, 2 July 2009
- ...ath>p(t) = \sum_{n=-\infty}^\infty \delta(t-nT)</math>. This creates a new signal, <math>x_p(t)</math>, which consists of a series of equally spaced impulses ...al. The reason it is not, however, is because the index of a discrete time signal needs to be an integer. To changes this, all that needs to be done is a tra851 B (157 words) - 17:37, 4 August 2009
- n = Lx + Lh -1; % Length of the output signal stem(y) % make it like a discrete signal287 B (57 words) - 11:03, 1 July 2009
- [[Category:discrete-time Fourier transform]] *The Discrete-time Fourier transform (DTFT) is <math>{\mathcal X}(\omega) = {\mathcal F} \left1 KB (216 words) - 14:49, 1 May 2015
- ...the DT Fourier transform look like if the discretization represents the CT signal well?". Should we organize another recitation on that topic?--[[User:Mbou2 KB (375 words) - 04:11, 3 September 2009
- [[Category:signal processing]] The z-transform converts a discrete-time signal into a complex frequency domain representation.2 KB (252 words) - 06:55, 16 September 2013
- [[Category:signal processing]] ...frequency spectrum of a signal the faster we sample it. Naturally, if the signal changes much faster than the sampling rate, these changes will not be captu8 KB (1,452 words) - 06:49, 16 September 2013
- '''Q:''' What is a digital signal? '''A:''' A signal that can be represented by a sequence of 0's and 1's.1 KB (170 words) - 10:07, 23 September 2009
- ...tions caused by analog circuitry. One area that this can be applied is in signal reconstruction, where a low pass analog filter is used on the output of a d ...ed to relax requirements on analog low pass filter design while decreasing signal distortion.5 KB (840 words) - 19:08, 22 September 2009
- ...s time signal (consisting of infinite number of points) to a discrete time signal (finite points). This process enables the conversion of analog signals to ...period T). This can be achieved by multiplying the given continuous time signal by a train of dirac delta functions separated by the time period T. This c3 KB (527 words) - 11:50, 22 September 2009
- xc(t)=continuous time signal x[n]=discrete time signal1 KB (219 words) - 11:36, 23 September 2009
- ...culated to express these coefficients as a function of frequency. For the discrete-time case, the analysis equation is expressed as follows: ...signal, x[n]. To demonstrate why this is the case, consider the following discrete-time function:8 KB (1,268 words) - 07:16, 23 September 2009
- [[Category:digital signal processing]] Definition: let x[n] be a DT signal with Period N.3 KB (640 words) - 13:17, 2 December 2011
- ...s attenuating high frequency portions of the image unless they have a high signal energy (aka, they're significant in the reconstruction and representation o5 KB (850 words) - 09:00, 23 September 2009
- Let X[n] be a DT signal with period N2 KB (491 words) - 23:03, 22 September 2009
- ** Application to Actual 1-D signal ...tween samples and the Low Pass Filter removes the extraneous copies of the signal beyond W/D shown in the output below.5 KB (847 words) - 11:54, 21 September 2012
- xc(t)=continuous time signal x[n]=discrete time signal1 KB (215 words) - 11:28, 23 September 2009
- *[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]] (used in [[ECE301]], [[ECE438]]) **[[Table DT Fourier Transforms|Discrete-time Fourier Transform Pairs and Properties]] (used in [[ECE301]], [[ECE438]])3 KB (294 words) - 15:44, 12 March 2015
- keywords: energy, power, signal '''Signal Metrics Definitions and Formulas'''2 KB (307 words) - 14:54, 25 February 2015
- ...ignals_ECE301S11|Compute the norm of a continuous-time complex exponential signal (practice problem)]] from [[ECE301]] ..._signals_ECE301S11|Compute the norm of a discrete-time complex exponential signal (practice problem)]] from [[ECE301]]2 KB (293 words) - 05:21, 3 November 2011
- ...ler's formula to compute the norm of a continuous-time complex exponential signal (practice problem)]] from [[ECE301]] ...Euler's formula to compute the norm of a discrete-time complex exponential signal (practice problem)]] from [[ECE301]]2 KB (249 words) - 18:27, 23 February 2015
- ...ectrical Engineers, the first person that comes to mind when someone says "SIGNAL PROCESSING" is Fourier. *Jean Baptiste Joseph Fourier (1768 - 1830) laid a rock-solid foundation for signal analysis, when he claimed that all (continuously differentiable) signals ca10 KB (1,646 words) - 11:26, 18 March 2013
- ...your concepts of Fourier and Z transforms should be absolutely clear for signal processing (DSP ECE 438).--[[User:Hlalwani|Hersh Lalwani]] 14:55, 11 Decemb ...ce, furiere and z-transform and signals and systems of continuous-time and discrete-time. However, it contains a lot of mathematics skill and some tricky part mathe14 KB (2,366 words) - 17:32, 21 April 2013
- ...you understand the lecture's material. The textbook for ECE 438 - "Digital Signal Processing" by Proakis - is very mediocre but has some examples. It wasn't *Labs are awesome as you get to deal with practical aspect of signal and image processing.You will learn all sort of things to create a digital17 KB (3,004 words) - 08:11, 15 December 2011
- | Let x[n] be a periodic DT signal, with period N.4 KB (633 words) - 15:28, 23 April 2013
- As everybody in the class seems to know quite well, the continuous-time signal <math> x(t) = cos(t) </math> is a periodic function with period <math> 2\pi ...pling <math> x(t) </math> every <math>T</math>, we obtain a discrete-time signal <math>f[n]</math>. However, <math>f[n]</math> is not necessarily periodic:4 KB (736 words) - 17:25, 23 April 2013
