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- ==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
