MATLAB® and Its Applications in Engineering: [Based on MATLAB 7.5 (R2007b)]

15.5. Convolution

If y(n) is a sequence whose values are a function of the two sequences h(n) and x(n) as given in equation (15.1), then y(n) is called convolution of x(n) with h(n):

15.1.

The convolution is represented as:

y(n) = x(n)*h(n)

The operation of discrete-time convolution takes two sequences x(n) and h(n) as input and produces a third sequence y(n).

In MATLAB, convolution of any two causal signals (that depends only on present and future samples) can be done by using conv command as shown below:

conv(x, h)

where x and h represent discrete-time causal sequences x(n) and h(n).

Example 15.19.

Compute the convolution for the following ...