Compute the impulse response (h[n]) of the given systems for n = 0:1:40. (Using

Question

Compute the impulse response (h[n]) of the given systems for n = 0:1:40. (Using filter command). Compute the output of the systems with using the impulse response. Compute the output of the systems without using the impulse response for the given inputs Plot the impulse response (h[n]), the given input sequence (x[n]), and outputs (using and filter functions) on a sheet paper for each problem. subplot and stem commands.(use subplot and stem commands.) y[n] = 1/3 y[n - 1] + x[n] x[n] = 2x(0.9)^n u(n - 20) Write signals for n = 0; 1: 40.

Explanation / Answer

n=0:1:40;
Himp = filter(b, (-1/3), n);
x=(2*(0.9)^n).* heaviside(n-20);

y1 = conv(Himp, x);

Out3 = filter(x, (-1/3), n);

subplot(5,1,1);

stem(Himp);

subplot(5,1,2);

stem(x);

subplot(5,1,3)

stem(y1);

subplot(5,1,4);

plot(Out3);

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