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Calculators/Maths/Discrete convolution
Maths

Discrete convolution calculator

Convolves two finite number sequences to produce their discrete convolution sequence.

What this calculator does

Discrete convolution works out convolves two finite number sequences to produce their discrete convolution sequence. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

Formulacₙ = Σₖ aₖ · b₍ₙ₋ₖ₎, summed over all valid indices k

The inputs explained

FieldWhat to enter
Sequence A (comma separated)A list of numbers, separated by commas or spaces.
Sequence B (comma separated)A list of numbers, separated by commas or spaces.