MATLAB CODING - SIGNAL CONVOLUTION

Question

long le 2020-10-22

编辑： long le 2020-10-24

I have a convolution operator as a linear system which transforms a signal x(n) into a signal y(n) through an impulse response h(n):

x(n)=[ 1 2 -2 4 6] and h(n)=[ -1 2 3]

I calculated manually the output y(n), represented the signal, and compared to MATLAB conv function as below:

Now, I would like to know how would it be possible to describe a matrix H so that: y=H.x

How to provide a corresponding code and make sure that from this equation?

I look forward to hearing from anyone.

Many thanks and Best regards!

Mathieu NOE 2020-10-22

Hi

I am not sure if I answer the question, but what you are doing is basically a FIR filter operation

your code could be much more compact by doing y = filter(h,1,x) with h = your impulse response function

Answer 1

Bruno Luong 2020-10-22

x=[ 1 2 -2 4 6];
h=[ -1 2 3];
c=conv(x,h)
M=convmtx(h,length(x))
x*M % return c