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Convolution is a concept that extends to all systems that are both linear and time-invariant (LTI). The idea of discrete-time convolution is exactly the same as that of continuous-time convolution. For this reason, it may be useful to look at both versions to help your understanding of this extremely important concept.
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cnx.org/content/m10087/latest/
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The idea of discrete-time convolution is exactly the same as that of continuous-time convolution. For this reason, it may be useful to look at both versions to help your understanding of this extremely important concept.
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cnx.org/content/m11539/latest/
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Convolution - Wikipedia, the free encyclopedia
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In mathematics and, in particular, functional analysis, convolution is a mathematical operation on two functions f and g , producing a third function that is typically viewed as a modified versi...
en.wikipedia.org/wiki/Convolution
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Discrete time convolution can be used to determine the output of a sampled data system from its input and pulse response. A commonly used discrete system is a finite impulse response (FIR) filter.
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www.ee.ed.ac.uk/~mjj/dspDemos/EE4/tutFIR.html
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As you slide the signal through the system response you will observe that the discrete convolution result is a copy of the signal, delayed by 8 samples. This illustrates the discrete time equivalent system response to the impulse in the system response for the continuous time system.
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www.ee.ed.ac.uk/~mjj/dspDemos/EE4/tutConvDisc.html
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The linear convolution y(n) of two discrete input sequences x(n) and h(n) is defined as the summation over k of x(k)*h(n-k). The relationship between input and output is most easily seen graphically.
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www2.egr.uh.edu/~glover/applets/Convolution/Convolution...
www2.egr.uh.edu/~glover/applets/Convolution/Convolution.html
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Here are a couple of examples of how to do discrete convolution in Matlab. Here is the first example. Here is your first signal and it's associated waveform. ... Here is how you would plot your resulting convolution. Note that we have to specify the right indices.
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www.ece.unm.edu/signals/signals/Discrete_Convolution/di...
www.ece.unm.edu/signals/signals/Discrete_Convolution/discrete_convolution.html
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Discrete Approximation of a; Convolution; This note discusses how to approximate a continuous convolution with a discrete convolution, and how MATLAB can easily be used to compute this approximation.
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www.ees.nmt.edu/Geop/Classes/GEOP505/Docs/discreteconv....
www.ees.nmt.edu/Geop/Classes/GEOP505/Docs/discreteconv.pdf
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Some of the most useful transforms used in electronics have the convolution property shown above. The Z transform of the convolution of 2 sampled signals is the product Compared to the integral encountered in analog convolutions, discrete convolutions involve a summation and are much easier to understand and carry out.
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dspcan.homestead.com/files/Ztran/zcon1.htm
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