Discrete Convolution Calculator

Enter two sequences \(x[k]\) and \(h[k]\) (as functions of the time index \(k\)), and click Compute to display both sequences and their discrete convolution.

The discrete convolution of \(x[k]\) with \(h[k]\) is defined as $$ y[k] = x[k]*h[k] = \sum_{\kappa=-\infty}^{\infty} x[\kappa]h[k-\kappa] $$