tb_equivalent_level — 2D typed op

데이터 종류: signalfeature

호출: fullseye.apply(img, "tb_equivalent_level", a=0.5, b=0.5)(2-D 는 이미지 1 장 + 스칼라 노브 2 개 a,b∈[0,1] 모델)

tb_equivalent_level: input → output

*그림은 128×128 합성 입력에서 실제로 실행한 출력. 왼쪽이 입력, 오른쪽이 출력. 점군은 위에서 본 산점도(밝기 = z), 1-D 열은 꺾은선, 볼륨은 z 방향 최대값 투영, 동영상은 가운데 프레임, 복소 영상은 진폭이며, 그림이 되지 않는 반환값은 값 자체를 표시한다.*

노브 a 를 훑기(0.1 / 0.5 / 0.9, 다른 노브는 기본값):

tb_equivalent_level: knob a sweep (docs site)

*노브 b 는 출력을 바꾸지 않는다(실측: 0.1 / 0.5 / 0.9에서 동일).*

단계(앞에 오는 op → 이 op, 왼쪽에서 오른쪽으로):

tb_equivalent_level: stages (docs site)

사용법

기록의 에너지 등가 레벨. `ref` 대비 dB 단위.

> 아래 상세 설명은 원문입니다 —— 요약과 제목은 번역되어 있습니다.

`L_eq = 10 log10(mean(x_w**2) / ref**2) where x_w` is the signal after

the chosen weighting. Returns a plain float.

The reference is yours to supply. The default `ref=1.0` means dB

relative to one unit of the signal's own units; it is not dB SPL, because

this library never sees your calibration. Pass `ref=20e-6` for pascals.

Measured: a 1 kHz sine of amplitude 1.0 at 16 kHz over exactly 1000 periods

gives `L_eq = -3.010300` dB with Z weighting, against the closed form

`10*log10(1/2) = -3.010300` (difference 2.2e-15 dB), and the same value

under A weighting (difference 8.9e-16 dB), because A is 0 dB at 1 kHz.

Doubling the amplitude adds 6.020600 dB. Silence returns -200.0.

Silence returns `floor_db (default -200) rather than -inf; an -inf`

in a list of levels destroys every average taken over it afterwards.

**A weighted level is only as good as the weighting, and the weighting has a

leakage limit this operator inherits in full.** A pure tone that is not a

whole number of periods in the record comes back too loud — measured

+7.7986 dB at 31.5 Hz (a nominal one-third-octave centre) over 0.5 s at

48 kHz, and up to +17.2116 dB at 20.5 Hz — with no exception, no NaN and

no warning. `weighting="Z" is exempt (it does no filtering) and "C"` is

nearly so (+0.0493 dB on the same tone); it is `"A"`, whose curve spans

about 40 dB across the audio band, that is exposed.

`window="hann"` is the opt-in remedy: the record is multiplied by a Hann

window and the mean square divided by the window's own mean square, which

suppresses the leakage almost entirely — the 31.5 Hz error goes from

+7.7986 to +0.0534 dB and the 20.5 Hz error from +17.2116 to

+0.1841 — while costing about 0.15 dB on records that were exact

before. It is not the default, and must not be used when a transient's

level is the point: a window makes the answer depend on *where in the

record the sound happened*. Measured on a 50 ms burst inside a 0.5 s record

(Z weighting, so only the window acts; unwindowed all three are -13.0103 dB

as they must be): at the start -36.0587, at the centre -8.8218, at

the end -36.0587 — a 27 dB spread produced by nothing but position.

Use `"hann"` for a stationary tonal record, which is exactly the case the

leakage ruins, and `"none"` (the default, an honest energy average) for

everything else. The full measurement is in :func:apply_weighting.

Raises `ValueError: everything :func:_as_signal` refuses, an unknown

`weighting or window, ref <= 0` (a decibel needs a positive reference; a zero

reference makes every level `+inf` and a negative one makes the ratio

negative), `rate <= 0`.

Typed bridge of the acoustics op `equivalent_level into the 2-D evolution registry: the same implementation, called under the op(v, a, b) convention. a drives ref (default 1); b` is unused.

참고(샘플 데이터·문헌)

• 샘플 데이터 카탈로그(DL URL / 라이선스) —— 2-D 는 skimage.data(BSD/public)+ 합성, 3-D 는 실데이터 소스(Stanford/PDS 등)의 DL URL.

• 연산자의 내력·참고문헌 —— 이 연산자 족의 바탕이 된 연구/기법의 출처.

Studio에서 시도하기

아래 프로그램은 실제로 실행됨을 확인했습니다(그림과 같은 입력). Studio 도움말에서는 이 블록이 버튼이 되어 즉시 불러와 실행할 수 있습니다.

img_to_signal 0.50 0.50
tb_equivalent_level 0.50 0.50

▸ Load this pipeline  ·  Load & run

실행 가능한 예제(이 연산자를 실제로 호출하는 검증된 샘플)

아래 예제는 원래의 대장 op equivalent_level를 호출한다. 이 브리지 op는 같은 구현을 fn(v, a, b) 규약에 맞춘 것뿐이므로 동작은 그대로 적용된다(호출 형식만 다름).

acoustic_condition_monitoringpy -3.11 examples/acoustic_condition_monitoring.py

타입이 이어지는 다음 연산자(feature 를 입력으로 받는 것)

identity · feature_to_img

같은 카테고리(typed)

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


*Provenance: ops.py — 2D 연산자 레지스트리. 이 op 노트는 tools/opdocs.py md 가 자동 생성합니다(직접 편집하지 마세요).*

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