• ...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>
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  • '''== 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>
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  • ...the DT Fourier transform look like if the discretization represents the CT signal well?". Should we organize another recitation on that topic?--[[User:Mbou
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  • [[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 captu
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  • '''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 c
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  • xc(t)=continuous time signal x[n]=discrete time signal
    1 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>tau
    6 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 discrete
    8 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 o
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  • xc(t)=continuous time signal x[n]=discrete time signal
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  • *[[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- in
    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
  • 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 ca
    10 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 some
    14 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.
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  • <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 frequen
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  • 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 Properties
    9 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 N
    2 KB (355 words) - 09:44, 29 December 2010
  • =Exercise: Compute the Fourier series coefficients of the following signal:= [[Recommended_exercise_Fourier_series_computation|More exercises on computing continuous-time Fourier series]]
    2 KB (324 words) - 08:08, 15 February 2011
  • ...condition, the sampling frequency must be larger than the twice of maximum signal frequency, in order to avoid the aliasing when sampling. The frequency domain relationship betweeen a signal <math>x[n]</math> and its upsampled version <math>z[n]</math> can be shown
    3 KB (467 words) - 19:52, 20 September 2010
  • ...es, a low-pass filter could be applied to this upsampling so to obtain the signal
    1 KB (220 words) - 16:07, 22 September 2010
  • [[Category:digital signal processing]] <math>\text{ Sample a continuous signal x(t)=sin(}\omega t)\text{ with period of T, }</math>
    2 KB (373 words) - 10:41, 11 November 2011
  • The highest frequency of the continuous signal is <math>f=\frac{\omega}{2\pi}</math>
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  • =Exercise: Compute the Fourier series coefficients of the following periodic signal:= ...ary to state the period in the question, as one can figure it out from the signal itself. </span> --[[User:Mboutin|Mboutin]] 08:15, 29 September 2010 (UTC)
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  • *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 T
    2 KB (292 words) - 17:13, 30 September 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 T
    1 KB (241 words) - 06:50, 30 September 2010
  • ...transforms one complex-valued function of a real variable into another. In signal processing, the domain of the original function is typically in the time do
    4 KB (746 words) - 08:47, 11 November 2013
  • Definition: let x[n] be a DT signal with Period N. Then, ...efficients of continuous periodic function x[n]? <br> The DFT of a sampled signal x[n] of length N is directly proportional to the Fourier series coefficient
    19 KB (3,208 words) - 11:23, 30 October 2011
  • [[Category:signal]] keywords:signal energy, exercises
    1 KB (207 words) - 16:04, 25 February 2015
  • [[Category:signal]] =Continuous-Time (Average) Signal Power=
    1 KB (220 words) - 10:49, 21 April 2015
  • ...ar filtering view of the STFT. Then we obtained a formula to reconstruct a signal from its STFT. This concluded the material on speech processing. We then be
    933 B (122 words) - 09:32, 11 November 2011
  • =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
  • ...[Complex Exponential and Sinusoidal Amplitude Modulation|videos explaining signal modulation]]! ...problems to practice CT convlution, and two problems for practicing basic signal's properties. -pm
    18 KB (2,485 words) - 10:36, 11 November 2011
  • Compute the Magnitude of the following continuous-time signals ...of the result. (This is basically what you are doing in a), but since the signal is real, it is equal to its conjugate.) A quick note though on the symbol <
    2 KB (292 words) - 16:17, 26 November 2013
  • [[Category:signal]] [[Category:continuous-time signal]]
    4 KB (595 words) - 11:01, 21 April 2015
  • ...\omega\right| > \omega_m </math>. Can one recover the signal x(t) from the signal <math class="inline"> y(t)=x(t) p(t-3) </math>, where ...omega)\right| > \omega_m </math>. Can one recover the signal x(t) from the signal <math class="inline"> y(t)=x(t) p(t-3) </math>, where
    900 B (158 words) - 16:06, 2 April 2011
  • *[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]] *[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of <span class="texhtml"
    890 B (101 words) - 17:30, 21 April 2013
  • ...olving|Practice Question]] on Computing the Fourier Series continuous-time signal= Obtain the Fourier series the CT signal
    4 KB (594 words) - 12:59, 16 September 2013

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Ryne Rayburn