Convolution MATLAB source code

This section of MATLAB source code covers convolution matlab code. convolution basics including matlab function is covered.

Convolving two signals is equivalent to multiplying the frequency spectrum of the two signals. In convolution, before elements of two vectors are multiplied one is flipped and then shifted in time.

convolution output z[n] = ∑X[k] * Y[k-n]

MATLAB code

clc;

clear all;

x=[1 2 3 4 5];

h=[1 2];

y(1)=x(1)*h(1);

y(2)=x(2)*h(1)+x(1)*h(2);

y(3)=x(3)*h(1)+x(2)*h(2);

y(4)=x(4)*h(1)+x(3)*h(2);

y(5)=x(5)*h(1)+x(4)*h(2);

y(6)=x(5)*h(2);

y    %outputs the result of convolution between x and h vectors

len=length(y)   % length of result(y length) = length(x)+length(h)-1

MATLAB built-in convolution function 'conv'

y1=conv(x,h)  % output as per matlab built in function
len1=length(y1)
plot(y-y1);title('difference between matlab conv function and our code');

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