fmcw_design — RANGEDOPPLER `design` op

• データ種: なし → table(引数だけで決まる op —— 画像やデータの入力を取らない)

• 呼び出し: import fullseye as fs; fs.ledger.fmcw_design(n_samples=64, n_chirps=32, sample_rate_hz=10000000.0, slope_hz_per_s=20000000000000.0, chirp_period_s=5e-05, wavelength_m=0.0038934, n_antennas=1, element_spacing_m=None) (実装を直接呼ぶなら import rangedoppler; rangedoppler.fmcw_design(n_samples=64, n_chirps=32, sample_rate_hz=10000000.0, slope_hz_per_s=20000000000000.0, chirp_period_s=5e-05, wavelength_m=0.0038934, n_antennas=1, element_spacing_m=None)、台帳から引くなら opsrangedoppler.get("fmcw_design"))

使い方

Bin widths, resolutions and aliasing limits of an FMCW configuration.

The paper answer to "will this waveform see what I care about?", with no data and no simulation — the stance visiondesign takes for optics. Every number is closed form:

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quantity formula

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swept bandwidth B = S * N_s / f_s

range bin / resolution dR = c / (2B) = c*f_s / (2*S*N_s)

max unambiguous range R_max = c*f_s / (2S) (= N_s * dR)

beat frequency per metre 2S/c

velocity bin / resolution dv = lambda / (2*N_c*T_c)

max unambiguous velocity v_max = lambda / (4*T_c) (= N_c*dv/2)

Doppler phase per (m/s) 4*pi*T_c / lambda rad per chirp

coherent processing interval N_c * T_c

max unambiguous angle asin(lambda / (2d))

angular resolution (boresight) 0.886 * lambda / (N_a * d) ============================== ============================================

The two "max" figures are hard aliasing limits, and they are the same

numbers fmcw_beat_simulate refuses to cross. The angular resolution is the 3 dB beamwidth of a uniform linear array at boresight (Van Trees 2002, §2.4); it widens as 1/cos(theta) off boresight, which this does not report because it is a function, not a number.

cube_elements and cube_mebibytes are included because "small input, huge allocation" is the failure mode of this family: the cube grows as N_a * N_c * N_s and complex128 is 16 bytes a sample.

Returns a dict. Raises ValueError on a non-positive or non-finite parameter, a wavelength over MAX_WAVELENGTH_M, or a count outside its cap.

>>> d = fmcw_design()

>>> round(d["range_bin_m"], 6), round(d["max_unambiguous_velocity_ms"], 6)

(1.171064, 19.467)

詳しい使い方ガイド

• fmcw_range_doppler ファミリガイド

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。

• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

• fmcw_range_doppler — py -3.11 examples/fmcw_range_doppler.py

型が繋がる次の op(`table` を入力に取れる)

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同カテゴリ(`design`)

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*Provenance: rangedoppler.py — RANGEDOPPLER 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)。*

fmcw_design — RANGEDOPPLER design op

使い方