tb_weighting_response — 2D typed op

データ種: signalsignal

呼び出し: fullseye.apply(img, "tb_weighting_response", a=0.5, b=0.5) (2-D は 1 画像 + 2 スカラつまみ a,b∈[0,1] のモデル)

使い方

The A / C / Z frequency-weighting curve, in dB, at the given frequencies.

Computed from the four pole frequencies that *define* the networks and

normalised so that the response at 1 kHz is exactly 0 dB by construction

— the curve is divided by its own value at 1 kHz rather than having a

published offset constant added to it. That is why the tests can assert

equality at 1 kHz to 0.0 rather than to a tolerance, and why no standard's

table of attenuations appears anywhere in this repository.

The response depends on `f only through f**2`, so it is an even

function and negative frequencies are evaluated at `|f|` — that is the

definition, not a repair. `f = 0` has zero response (both curves have a

zero at DC) and is reported as `floor_db rather than -inf`.

Measured (computed, then printed — these are outputs, not transcriptions):

======== ========= =========

f (Hz) A (dB) C (dB)

======== ========= =========

10 -70.4304 -14.3300

31.5 -39.5250 -3.0305

100 -19.1428 -0.2996

1000 0.0000 0.0000

4000 0.9633 -0.8260

10000 -2.4918 -4.4055

20000 -9.3469 -11.2786

======== ========= =========

`A(1000) and C(1000) are exactly 0.0` — the Python float, not a

rounding — because of the construction. The low-frequency asymptote is a

closed form and is asserted in the tests: `A` falls at exactly

80 dB/decade as `f -> 0 (f**4 over three constants) and C` at

exactly 40 dB/decade (`f**2`). Measured between 0.001 and 0.01 Hz with the

floor lowered out of the way: 79.999998 and 39.999998 dB/decade.

That last caveat is real and is why the floor is an argument: with the

default `floor_db = -200` the A curve reaches the floor below about

0.35 Hz (unfloored, `A(0.1) = -228.55` dB), so the asymptote measured

against the default floor comes out as 0.0 dB/decade between 0.01 and

0.1 Hz — a clamp, correctly reported, that would look like a bug if the

floor were not visible.

Returns a float64 array the same shape as *freqs*.

Raises `ValueError`: a non-1-D / non-finite / complex / masked

`freqs, an unknown kind`.

Typed bridge of the acoustics op `weighting_response into the 2-D evolution registry: the same implementation, called under the op(v, a, b) convention. This op has no tunable parameter; a and b` are unused.

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。

• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

• (まだありません)

型が繋がる次の op(signal を入力に取れる)

identity · tb_create_funct_1d_array · tb_smooth_funct_1d_gauss · tb_smooth_funct_1d_mean · tb_derivate_funct_1d · tb_integrate_funct_1d · tb_zero_crossings_funct_1d · tb_abs_funct_1d

同カテゴリ(typed)

tb_points_to_voxel · tb_estimate_point_normals · tb_iss_keypoints · tb_angle_3points · tb_project_points · tb_render_point_depth · tb_statistical_outlier_removal · tb_radius_outlier_removal


*Provenance: ops.py — 2D 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.