fullseye

stft_cola_check — ACOUSTICS transform op

使い方

Does this (window, hop) pair satisfy COLA, and how exactly?

COLA — the analysis windows summing to a constant over the hop lattice — is what lets plain overlap-add work without a division. It is not required by :func:istft, which is weighted, but it is required by anything that overlap-adds modified frames without renormalising, and getting it wrong produces a periodic amplitude ripple at rate/hop Hz that looks like tremolo rather than like a bug.

Returns a dict: cola (bool), constant (the mean of the overlap sum), max_deviation (absolute), relative_deviation, nola (bool), min_squared_sum, plus the geometry.

Measured (periodic windows, relative_deviation of the plain sum):

======== ==== ==== ================== ======== ==== window win hop relative_deviation constant COLA ======== ==== ==== ================== ======== ==== hann 256 128 4.44e-16 1.00 yes hann 256 64 2.22e-16 2.00 yes hann 256 85 1.48e-03 1.506 no hamming 256 128 2.06e-16 1.08 yes blackman 256 128 1.91e-01 0.84 no blackman 256 64 3.97e-16 1.68 yes boxcar 256 128 0.00e+00 2.00 yes ======== ==== ==== ================== ======== ====

The two blackman rows are the useful ones: the same window is COLA at hop = win/4 and 19 % off at hop = win/2, so “which window” is not the question — the pair is. The boxcar row was worth measuring rather than assuming: a rectangular window at 50 % overlap sums to exactly 2 and is COLA, which is the opposite of the usual intuition about it. Note also that the constant is not 1 in general — an overlap-add that does not divide by it is off by a gain, which is the failure that looks like a working system.

Raises ValueError: unknown / all-zero window, hop outside [1, win], win outside [2, MAX_WINDOW].

詳しい使い方ガイド

参考(サンプルデータ・文献)

実行できる例(この op を実際に呼ぶ検証済みサンプル)

型が繋がる次の op(table を入力に取れる)

istft

同カテゴリ(transform)

stft · istft


Provenance: acoustics.py — ACOUSTICS operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.