Matlab Code for Convolution ... is this right?


by user101
Tags: code, convolution, matlab
user101
user101 is offline
#1
Sep23-07, 07:00 PM
P: 208
1. The problem statement, all variables and given/known data

A DT system has the unit response h[n] = (0.2(1.3)^n)u[n]. You then input x[n] = sin(n*pi/2)u[n]. Find the convolution.

2. Relevant equations

None.

3. The attempt at a solution

>> n = 0:30;
>> h = 0.2*(1.3).^n;
>> x = sin(n*pi/2);
>> s = conv(h,x);

I left out u[n] because we know that u[n] = 1 whenever n >= 0 and 0 when n < 0. So, if I am correct, it is just multiplying the input by 1, if n >=0.

This should be right, just wanted to verify.
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wildman
wildman is offline
#2
Sep23-07, 10:38 PM
P: 252
Looks good to me. Just remember that the far end of the convolution sum will not be valid because you are truncating it at 30. What the algorthm does is insert zeros at the front and back of the signals. This is all right on the low end because the signals are zero anyway below zero, but it will cause invalid results at the high end. This can be fixed by simply making the signals longer than you need.
user101
user101 is offline
#3
Sep23-07, 10:51 PM
P: 208
oh it didnt specify how far n should go, so i made it randoml from 0 to 30.


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