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(MATLAB) Consider the following DT system y(n)-y(n-1)-y(n-2)=1/2x(n)+1/2x(n-1) to determine and plot the the response to the...

(MATLAB) Consider the following DT system y(n)-y(n-1)-y(n-2)=1/2x(n)+1/2x(n-1) to determine and plot the the response to the input x(n)=u(n), with initials y(-2)=1 & y(-1)=0.

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Answer #1

MATLAB:


clc;close all;clear all;
b=[1/2 1/2]
a=[1 -1 -1]
n=0:1:50
x=(n>=0)
yi=[0 1]
xi=0
y=filter(b,a,x,filtic(b,a,yi,xi))

subplot(211)
stem(n,x,'r')
xlabel('n')
ylabel('x(n)')
title('Input x(n) =u(n)')

subplot(212)
stem(n,y,'b')
xlabel('n')
ylabel('y(n)')
title('Output y(n)')

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