FA-91355 / Digital signal filters / Member archive

Streaming FIR correlates instead of convolving · case 05

An asymmetric impulse response comes out time-reversed.

Member previewVariant 5 · 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 26	`[[0, 3, 2], [1, -7, -5, -8], [2, -5, -20], [-18, -8, 5]]`	`[[6, -2, 1], [-8, -9, 1, -1], [-14, -18, -17], [-2, 14, 18]]`	Failed

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