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- ##[[Signal Energy and Power_(ECE301Summer2008asan)|Signal Energy and Power]] ##[[Continuous-Time and Discrete-Time_(ECE301Summer2008asan)|Continuous-Time and Discrete-Time]]7 KB (921 words) - 06:08, 21 October 2011
- (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
- ...he Fourier Transform.... In particular, Fourier reasoned that an aperiodic signal can be viewed as a periodic singal with an infinite period." An example of ...nd the sound of the musical chord represented by these notes (the function/signal itself).3 KB (431 words) - 17:29, 23 April 2013
- ...ecause it does not specify from what the signal is being recreated. If the signal is for example not band-limited, it cannot be reconstructed at all. ...an the Nyquist rate in rare cases you are able to properly reconstruct the signal.4 KB (689 words) - 12:48, 12 December 2008
- [[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]] <strong>Continuous-time:</strong> (a.k.a. Dirac delta function)<br/>2 KB (408 words) - 06:43, 16 September 2013
- == Continuous-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
- [[Category:signal processing]]769 B (105 words) - 06:44, 16 September 2013
- [[Category:signal processing]]2 KB (324 words) - 06:45, 16 September 2013
- 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
- == Continuous Signal == Continuous signal is a signal that varies with time, and can be represented as a function of time, x(t).2 KB (311 words) - 16:27, 3 December 2008
- == Periodic Signal == Notice, the signal is the same throughout each cycle.481 B (60 words) - 07:15, 14 April 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
- 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
- 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
- ...thcal{F}</math> of {a*x(t)+b*y(t)} will be equal to {a*X(w)+b*Y(w)} if the signal is truly linear. Signal <math>x(t)=1, 0<t\le1; 2, 1<t\le2; 0, else=u(t)+u(t-1)-2u(t-2)</math>2 KB (327 words) - 08:33, 8 July 2009
- '''== Time Shifting Property of Continuous-Time Fourier Series ==''' <br> When a time shift is applied to a periodic signal x(t), the period T of the signal is preserved.<br>1 KB (200 words) - 03:44, 9 July 2009
- ...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]] ...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
- ...ermines the number of pixels the camera uses to represent the "continuous" signal (e.g. a mountain, or your smiling significant other) that your digital came Thus the digital camera '''''samples''''' the continuous signal, with a period <math>T</math> (shutter speed) and "on" for length <math>tau6 KB (914 words) - 12:07, 22 October 2009
- ...e the magnitude of each frequency component's contribution to the original signal. Finally, the Fourier Transform is calculated to express these coefficients ...at is commonly referred to as the "spectrum" of the original discrete-time signal, x[n]. To demonstrate why this is the case, consider the following discrete8 KB (1,268 words) - 07:16, 23 September 2009
- ...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
- 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]]) **[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of radial frequency- in3 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
- Table of Continuous-time (CT) Fourier Transform Pairs and Properties | signal (function of t)8 KB (1,130 words) - 11:45, 24 August 2016
- ...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
- =About the Continuous-time Fourier Transform= ...008mboutin| Example of how to take the Fourier transform of a non-periodic signal]]2 KB (262 words) - 12:14, 21 February 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
- We'll start with the 2-dimensional rect(*) signal. Here's the 2-dimensional rect(x,y) function and its CSFT:<br><br>8 KB (1,397 words) - 11:23, 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 ...sforms such as laplace, furiere and z-transform and signals and systems of continuous-time and discrete-time. However, it contains a lot of mathematics skill and some14 KB (2,366 words) - 17:32, 21 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
- ...teral z-Transform. Sampling, quantization, and discrete-time processing of continuous-time signals. Discrete-time nonlinear systems: median-type filters, threshold de <br/>iii. an ability to determine the response of linear systems to any input signal by convolution in the time domain.3 KB (394 words) - 07:08, 4 May 2010
- <br/><br/>9. Signal detection, signal estimation, cross-correlation functions<br/><br/>2 KB (231 words) - 07:20, 4 May 2010
- [[Category:digital signal processing]] ...hat can be used to describe almost anything in the world be it an electric signal or the stock market. Did you know that our brain picks up different frequen13 KB (2,348 words) - 13:25, 2 December 2011
- Note: PM refers to the official course book, Digital Signal Processing, 3rd edition, J.G. Proakis and D.G. Manolakis. Prentice Hall, 19 *Basic Signals and Signal Properties9 KB (1,331 words) - 07:15, 29 December 2010
- ...computation|A collective page to practice computing Fourier series of a CT signal]] ...putation_DT|A collective page to practice computing Fourier series of a DT signal]]2 KB (211 words) - 05:39, 26 September 2011
- Continuous-time Fourier Transform Pairs and Properties | signal (function of t)5 KB (687 words) - 21:01, 4 March 2015
- [[Category:Fourier series continuous-time]] ...pages contains exercises to practice computing the Fourier series of a CT signal =5 KB (797 words) - 09:43, 29 December 2010
- ...pages contains exercises to practice computing the Fourier series of a DT signal = *Fourier series of a discrete-time signal x[n] periodic with period N2 KB (355 words) - 09:44, 29 December 2010
