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- 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
- For a continuous-time signal <br> ...m_{T \to \infty} {\frac{E(\infty)}{2T}} = 0 ................ Finite-energy Signal</math><br>647 B (89 words) - 21:00, 4 September 2008
- Computation of Signal Energy and power. Source for definition Of Continuous Signal: Wikipedia.778 B (99 words) - 13:21, 5 September 2008
- == For a Continuous Time Signal==788 B (127 words) - 12:34, 5 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
- A signal is periodic if there exists some T>0 such that: A signal is NOT periodic if the converse is true, there DOESN'T exists some T>0 such688 B (106 words) - 07:08, 14 April 2010
- ==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
- ==Periodic Signal== to prove a CT signal is continuous we must prove that there exists a value T such that x(t) = x(388 B (84 words) - 13:37, 5 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
- ...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
- <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
- 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
- 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
- == Example of Computation of Fourier series of a CT SIGNAL == ==The Signal==2 KB (384 words) - 10:56, 16 September 2013
- ==Response to a Signal from Question 1== I will use my signal from Question 1.2 KB (344 words) - 13:40, 26 September 2008
- == Example of Computation of Fourier series of a CT SIGNAL == The function y(t) in this example is the periodic continuous-time signal cos(t) such that1 KB (195 words) - 11:07, 16 September 2013
- A continuous-time Linear Time-Invariant (LTI) system defined for the purpose of this page wil where v(t) is an input signal dependent on the parameter of time.1 KB (233 words) - 17:43, 26 September 2008
- == Example of Computation of Fourier transform of a CT SIGNAL == Let the signal x(t) be equal to:1 KB (191 words) - 12:29, 16 September 2013
- Let the signal <math>X(\omega)</math> be equal to: The Inverse Fourier Transform of a signal in Continuous Time is:1,011 B (164 words) - 12:46, 16 September 2013
- 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
- '''Question:''' Compute the Fourier transform of the signal x(t) equal to: The Fourier Transform of a signal in Continuous Time is defined by:1 KB (188 words) - 11:09, 17 October 2008
- ...Fourier transform exists if the signal is absolutely integrable or if the signal has a finite number of discontinuities within any finite interval. (See Pag :This is useful for signals that fail to satisfy the previous properties of a signal that is guaranteed a Fourier Transform.3 KB (465 words) - 14:38, 24 October 2008
- What is it? Sampling is a process of measuring a CT signal x(t) at some specific values of time t. ...ample a continuous time signal x(t) at point t-1, t-2 and t-3. The sampled signal can represented by the formula <math>y[n] = x(nT)\,</math>2 KB (367 words) - 11:27, 7 November 2008
- ==Reconstructing a signal from its samples using Interpolation== ...an important procedure we know as interpolation we can obtain the original signal of the function.851 B (151 words) - 11:38, 8 November 2008
- ...ved by the use of a periodic impulse train multiplied by a continuous time signal, <math>x(t)</math>. The periodic impulse train, <math>p(t)</math> is refer3 KB (582 words) - 06:11, 16 September 2013
- ...continuous-time 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
- ...ation is defined by the authors of our book as the fitting of a continuous signal to a set of sample values, and is a commonly used procedure to reconstruct ...tion of the CT signal from the sampled signal approximates the original CT signal better.951 B (153 words) - 17:14, 10 November 2008
- Let x(t) be a signal with <math>\chi(\omega)=0</math> when <math>|\omega|<\omega_m</math>. P: A real-valued signal x(t) is known to be uniquely determined by its samples when the sampling fr2 KB (340 words) - 17:29, 10 November 2008
- ...actly, from samples. More so, interpolation is the fitting of a continuous signal to a set of sample values. Interpolation can also be defined as a specific1 KB (167 words) - 19:39, 10 November 2008
- The continuous-time Fourier transform provides us with a representation for signals as linear c ...the complex variable s, it is referred to as the Laplace transform of the signal. The complex variable zs can be written as <math>s=\sigma+j\omega</math>, w1 KB (183 words) - 17:02, 24 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
- #'''Signal Reconstruction Using Interpolation:''' the fitting of a continuous signal to a set of sample values ...nals (CD to MP3 albeit a complicated sampling algorithm, MP3 is less dense signal)21 KB (3,312 words) - 11:58, 5 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 ...nals (CD to MP3 albeit a complicated sampling algorithm, MP3 is less dense signal)2 KB (254 words) - 07:05, 8 December 2008
- ##[[Signal Energy and Power_Old Kiwi]] ##[[Continuous-Time and Discrete-Time_Old Kiwi]]4 KB (531 words) - 11:32, 25 July 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
- * Signal properties (even/odd, periodicity, power, energy, etc.)5 KB (643 words) - 11:55, 6 August 2009
