tb_weighting_response — 2D typed op

数据种类:signalsignal

调用:fullseye.apply(img, "tb_weighting_response", a=0.5, b=0.5)(2-D 的模型是一张图 + 两个标量旋钮 a,b∈[0,1])

*无图: 该算子以 signal 为输入。从图像开始的 Studio 程序无法到达该类型,请参见下方的可运行示例。*

用法

在给定频率处的 A / C / Z 频率计权曲线,单位为 dB。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

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(示例数据・文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

可运行的示例(实际调用该算子并已验证的样例)

• (暂无)

类型可衔接的下一个算子(可接受 signal 作为输入)

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

同类别(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 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

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