FA-91352 / Digital signal filters / Member archive
Streaming FIR correlates instead of convolving · case 02
An asymmetric impulse response comes out time-reversed.
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 fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: random stream 0 | [[9, 21, 9], [16], [34, 24, 17], []] | [[9, 15, 7], [28], [24, 20, 19], []] | Failed |
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