I have a signal y[n], represented by the vector y in this form
- y[n] =x[n] + ax[n−N]
About this signal:
- x[n] is the uncorrupted speech signal which has been delayed by N samples and added back in with its amplitude decreased by a<1
- N= 1000, and the echo amplitude,a= 0.5.
I need help with:
Determining and plotting the impulse response of the signal. Also I was hoping to store this impulse response in the vector for 0≤n≤1000
What I have and which does not work:
% Testing the input:
sound(y,8192)
% echotime,N= 1000, and
% the echo amplitude,a= 0.5.
N = 1000;
a = 0.5;
n = [0:1000]; %time vector
for i=0:1000
y(i)=x(i)+a*x(i+N)
end
stem(n,y) %output plot
This would give me an error lie:
Undefined function or variable 'x'.
Error in (line 15)
y(i)=x(i)+a*x(i+N)
Best Answer
You are confusing signals and systems. Systems have impulse responses, signals don't. You can calculate the output signal of a linear time invariant system for any given input vy convolving the input signal with the impulse response of the system.