• ...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 refer
    3 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 signal
    2 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 signal
    2 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 continuo
    1 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 fr
    2 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 specific
    1 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>, w
    1 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 as
    2 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 tran
    7 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 periodic
    4 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 Properties
    9 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:Mbou
    2 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 captu
    8 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 c
    3 KB (527 words) - 11:50, 22 September 2009
  • 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
    5 KB (850 words) - 09:00, 23 September 2009
  • xc(t)=continuous time signal x[n]=discrete time signal
    1 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- 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.
    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 frequen
    13 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 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

View (previous 50 | next 50) (20 | 50 | 100 | 250 | 500)

Alumni Liaison

To all math majors: "Mathematics is a wonderfully rich subject."

Dr. Paul Garrett