Discrete Convolution Calculator

Enter discrete-time sequences \(x[n]\) and \(h[n]\) using the notation below. You get stem plots of \(x[n]\), \(h[n]\), and their output \(y[n]=x[n]*h[n]\) instantly. Example: \(\mathrm{rect}_4[n] * \mathrm{tri}_3[n]\). See step-by-step overlap (Dynamic Explorer). Use the Dynamic Explorer to slide \(n\) and visualize the overlap \(x[k]\cdot h[n-k]\).

*
Supported notation & limits
Primitives/synonyms: \(\mathrm{rect}\), \(\mathrm{tri}\), \(\sin\), \(\cos\), \(\exp\), \(\mathrm{step}\) / \(u[n]\) / \(\mathrm{heaviside}\), \(\delta\) / \(\delta\), \(\mathrm{sign}\), \(\mathrm{si}\).
Syntax: use \( * \) for multiplication and brackets/parentheses, e.g. \(\sin[\pi n / 4] * u[n]\).
Limits: advanced piecewise expressions may fail, finite index range is used, and numeric resolution may affect sharp transitions in \(y[n]\).