chirp_newtonian — ONED matched op

• Data kinds: none → signal (an op determined by its arguments alone — it takes no image or data input)

• Call: import fullseye as fs; fs.ledger.chirp_newtonian(mass1_msun: 'float' = 36.0, mass2_msun: 'float' = 29.0, rate: 'float' = 4096.0, duration_s: 'float' = 1.0, *, f_low_hz: 'float' = 20.0, distance_mpc: 'float' = 410.0, phase_rad: 'float' = 0.0) -> 'np.ndarray' (to call the implementation directly, import gwsearch; gwsearch.chirp_newtonian(mass1_msun: 'float' = 36.0, mass2_msun: 'float' = 29.0, rate: 'float' = 4096.0, duration_s: 'float' = 1.0, *, f_low_hz: 'float' = 20.0, distance_mpc: 'float' = 410.0, phase_rad: 'float' = 0.0) -> 'np.ndarray'; from the registry, ops1d.get("chirp_newtonian"))

Usage

Newtonian (0PN) inspiral waveform h₊(t) as a signal, with coalescence at the end of the array.

> The detailed description below is the original text — the summary and the headings are translated.

Parameters

mass1_msun, mass2_msun : float

成分質量 [M☉] (検出器系)。

rate : float

標本化周波数 [Hz]。

duration_s : float

配列の長さ [s]。f_low からの時間がこれより長ければ f_low を押し上げる。

f_low_hz : float

波形を始める重力波周波数 [Hz] (軌道周波数の 2 倍)。

distance_mpc : float

光度距離 [Mpc] (振幅だけに効く)。

phase_rad : float

合体時の位相。

Returns

numpy.ndarray

round(duration_s·rate) 点。f_ISCO = c³/(6^{3/2}πG(m₁+m₂)) で止め、以降は 0。

合体時刻は最後の標本(index n−1)。

Notes

f(τ) = (1/π)(5/256τ)^{3/8}(GM_c/c³)^{−5/8}、A = (4/d)(GM_c/c²)^{5/3}(πf/c)^{2/3}、Φ(τ) = −2(5GM_c/c³)^{−5/8}τ^{5/8} + φ₀。合体・リングダウンは含まない(これが GW150914 の SNR を数値相対論の波形より小さく見積もる理由 —— PoC が数で示す)。

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_gw_detector_pseudo_simulation — py -3.11 examples/poc_gw_detector_pseudo_simulation.py

Ops the type connects to (they accept signal as input)

create_funct_1d_array · create_funct_1d_pairs · smooth_funct_1d_gauss · smooth_funct_1d_mean · derivate_funct_1d · integrate_funct_1d · zero_crossings_funct_1d · local_min_max_funct_1d

Same category (matched)

psd_welch · whiten_by_psd · chirp_mass_from_track · matched_filter_snr · optimal_snr · coincidence_delay


*Provenance: gwsearch.py — ONED operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

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