Search⌘ K
AI Features

How to Implement Convolution

Explore the process of implementing convolution in discrete-time digital systems by learning how to flip and shift impulse responses, perform sample-wise multiplication, and sum results to obtain output signals. This lesson helps you understand the core algorithm and step-by-step calculations using practical signal examples.

We'll cover the following...

If an input signal x[n]x[n] is applied to a discrete-time system with the impulse response h[n]h[n], the output y[n]y[n] is given by convolution that is implemented through the following expression:

y[n]=x[n]h[n]=mx[m]h[nm]y[n] = x[n]*h[n] = \sum_m x[m]h[n-m]

Time indexes

There are two time indexes here: mm and nn. ...