impulse response for this problem

how can i obtain the impulse response and the plot: y(n)=x(n)-0.6y(n-1),for y(-1)=0
and n=[-2:10]
i tried to understand it from the explanation provided on mathworks but it seems it is hard for a beginner
thank you for the help

7 Comments

What is x(n)?
x(n) is the impulse input
So, is it always 1?
no, the n value change from -2 to 10 in steps of 1
Birdman means x, not n.
x(n) value is 1 at zero, and zero elsewhere
i mean if i plot(n,x) then x=1 when n=0, anywhere else it will be zero. a delta function

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Answers (1)

i got some help from an expert, and this is the solution:
n=[-2:10];% time vector
x=n==0; % impulse input
y=n==-1;% output array with initial condition
x=double(x);
y=double(y);
for i=2:length(n)
y(i)=x(i)-0.6*y(i-1) % system equation
end
stem(n,y); % output plot
axis([-2 10 -2 2]);
title('output');

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Asked:

on 2 Mar 2018

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on 3 Mar 2018

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