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MATLAB Convolution Simulation

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Write and verify a computer program to perform the convolution of two discrete signals.

[1] The convolution program should be written as an m-file able to handle two general discrete signals. The M-file will be ain function file format, it will take two inputs sin1, sin2, and return an output sout.

sin1, sin2: can be row or column vectors of any length
sout: will be a row vector (length is determined by input vectors)

Ex:
function sout=convolution(sin1,sin2)
{
%put your code here with comments
}
2. Test with the following signals:
(Plot all results -> use the stem command)

Case 1:
h(n)=1 for 1<n<4
x(n)=1 for 1<n<4
Case 2:
h(n)=1 for n=1,2,...10
x(n)=(1/2)^n-1 for n=1,2,...20

All functions equal zero in regions not defined above. Use MATLAB conv function to verify your program.

3. Similiar to convolution is an operation known as correlation. This operation is used in signal analysis to determine the similiary between two signals. Explore the functionality of correlation through the use of MATLAB xcorr command. Plot the results of xcorr for the two cases provided above. What is the relationship of correlation to convolution?

To me it seems that convolution is autocorrelation because I worked an example by hand. Please comment the program so that I can see how it is done. Thank you.

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Solution Preview

As we can see in the figures, in fact, the convolution is not the correlation. But it ...

Solution Summary

The solution provides three MATLAB files that make up a convolution simulation program as required by the asker. It also answers the quesiton of correlations in words in the description.

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