Discrete convolution
Discrete convolution: use first sequence, second sequence. Review the formula, worked example and calculation steps.
Inputs
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Formula & explanation
y[n] = Σ x[k] h[n−k]
Variables & units
- First sequence
- comma separated
- Second sequence
- comma separated
Worked example
[1,2,3] convolved with [1,1] gives [1,3,5,3].
Assumptions
Finite discrete linear convolution, with index 0 at the first sample; not circular or continuous convolution.
Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.
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