FA-91353 / Digital signal filters / Member archive

Streaming FIR correlates instead of convolving · case 03

An asymmetric impulse response comes out time-reversed.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

Input [taps, blocks] of integers. Filter the concatenated stream with y[n] = sum_k taps[k] x[n-k] (zero initial history) while processing block by block; return the outputs grouped per input block.

Why this case matters

Block-based FIR processing must carry history across buffer boundaries or every block edge glitches.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression: random stream 5	`[[1, 6, 7, -7], []]`	`[[-3, -12, 1, 15], []]`	Failed

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