Question

3. Given the following two sequences x(n) = [3, 11, 7,0, – 1,4, 2], – 3 5nS3; h(n) = [2,3,0, – 5, 2,1], –15ns 4. (a) Use the definition to determine the convolution y(n) = x(n) * h(n) (b) Compare your result in (a) with that obtained by MATLAB

Answer 1

a x0) = {3, 11, 7,0,-1, 4,2} [sene 3 ) hers ; {23,0, -5,2,1}, (nts ns W) yoni 200 at han 1.3 Tota 2 26 22 14 0 -2/8 4 9 33 21 0-3 0 - L-1555 -35 65 26 20 hoor iles no 1.0-1.4 ? ay n a {6, 31, 41, 6, 251, Io ho 41, 100, 22, 23, 8, 2} thina start with no min (Index [2)] min (ndez ih] = -3 Hel) = -4 down? hand ends with no max findez a)]t max [Enderecha - 3+ 437 hna rangia komin={-4,1]

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%matlab

x=[3 11 7 0 -1 4 2];
h=[2 3 0 -5 2 1];
y=conv(x,h);
disp('convolution sequence of x,h, is');
disp(num2str(y));
n=-4:7;
stem(n,y);
xlabel('n');
ylabel('y[n]=x[n]* y[n]');

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>> m1
convolution sequence of x,h, is
6 31 47 6 -51 -5 41 18 -22 -3 8 2
>> xlabel

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y[n]=x[n]* y[n]