tcspc_stats — PHOTON tcspc op

• Datenarten: counts → table

• Aufruf: import fullseye as fs; fs.ledger.tcspc_stats(hist, bin_ps=100.0) (die Implementierung direkt: import photoncount; photoncount.tcspc_stats(hist, bin_ps=100.0); aus dem Register: opsphoton.get("tcspc_stats"))

Verwendung

Kenngrößen eines Ankunftszeit-Histogramms: Maximum, Schwerpunkt, Breite, Hintergrund.

> Die ausführliche Beschreibung unten ist der Originaltext — Zusammenfassung und Überschriften sind übersetzt.

Returns a dict: total_counts · peak_bin (int) · peak_counts · peak_time_ps (the centre of the peak bin, (k + 0.5)*bin_ps) · centroid_ps (the first moment over the whole histogram, background included — run tcspc_background_subtract first if that matters) · fwhm_ps (full width at half maximum *above the background*, by linear interpolation of the two half-crossings around the peak) · background_per_bin (the median bin, the same robust estimate tcspc_background_subtract uses) · signal_counts (total - background*bins) · sbr (signal-to-background ratio, or None when the background estimate is 0) · n_bins · window_ps.

fwhm_ps is None — never a fabricated number — when the profile does not cross the half-maximum on both sides of the peak, which is exactly what a monotone fluorescence decay does (its peak is bin 0). A None here means "this histogram has no width in the FWHM sense", not "the measurement failed".

Ground truth: for a noiseless Gaussian return of FWHM 500 ps, centroid_ps matches the analytic 2d/c to 1.8e-12 ps. fwhm_ps comes back as 508.41 at 100 ps bins and 503.07 at 50 ps bins — the linear interpolation between two bins on either flank systematically overestimates a Gaussian's width, by 1.7% and 0.6% respectively, and the error shrinks with the bin width. That bias is a property of the estimator; it is reported here rather than hidden behind a "500" that only holds in the continuum limit.

Raises ValueError: negative, non-finite or non-1-D *hist*, a non-positive *bin_ps*, and an all-zero histogram (no photon arrived, so there is no arrival time; the centroid would be 0/0).

Ausführlicher Anwendungsleitfaden

• Leitfaden zur Familie photon_timeresolved

Referenzen (Beispieldaten, Literatur)

• Katalog der Beispieldaten (Download-URLs / Lizenzen) — 2-D nutzt skimage.data (BSD/Public Domain) plus synthetische Bilder, 3-D nennt Download-URLs echter Datenquellen (Stanford, PDS, …).

• Herkunft und Literatur der Operatoren — die Quellen der Forschung/Verfahren, auf denen diese Operatorfamilie beruht.

• Der kanonische Algorithmus (Autor, Jahr) und seine Anwendungen stehen im Familienleitfaden oben.

Ausführbare Beispiele (verifizierte Samples, die diesen Operator wirklich aufrufen)

• photon_timeresolved — py -3.11 examples/photon_timeresolved.py

Typkompatible Folge-Operatoren (nehmen table als Eingabe)

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Gleiche Kategorie (tcspc)

tcspc_simulate · tcspc_irf_convolve · tcspc_background_subtract


*Provenance: photoncount.py — PHOTON Operator-Registry. Diese Notiz wird von tools/opdocs.py md erzeugt (nicht von Hand bearbeiten).*

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