Research Workbench

Full discrete convolution calculator

Trace convolution alignment and boundary contributions in a filtered sequence.

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Use comma-separated finite numbers on two lines. Magnitudes must be at most 1e9 and at least 1e-12, or zero.

The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.

Calculation results

Full convolution
1, 1, 1, -3
Output length
4

How to interpret the output

Computes full linear convolution with implicit zero padding outside each sequence. Output index k sums input[i] times kernel[k-i]. Output length is n+m-1. Edge terms include padding; correlation uses a different alignment. No sampling-interval scaling is applied. Source checked 14 November 2026.

Method reference

Read the worked guide and interpretation examples →