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soothe2-re/dsp
Matiq d7cbab3e4c Document FIR construction limitation: plugin uses real RFFTs
The plugin's FIR construction pipeline (52b550-52b8bb) uses real RFFTs
(real-valued FFT) with twiddle operations (opA/B/C/D). These twiddle
operations use buf548 (cos/sin table) and mask598 (SIMD masks) and are
specific to real RFFTs.

Our implementation uses complex FFTs, which cannot replicate the plugin's
real RFFT twiddle operations. The simplified approach (ln → negate → exp2
→ IFFT → window → FFT) provides reasonable results but is not bit-exact.

Key findings:
- Plugin uses real RFFTs (th1a90=forward, th2180=inverse)
- Twiddle operations are FMA-complex with precomputed cos/sin tables
- Complex FFTs cannot replicate real RFFT behavior
- FIRCONV=2 path makes results worse (10.377 dB vs 1.825 dB default)

Future work: Implement real RFFT to achieve bit-exact FIR construction.
2026-08-27 19:33:33 +03:00
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