fmcw_design — RANGEDOPPLER `design` op

• 数据种类:无 → table(仅由参数决定的算子 —— 不接受图像或数据输入)

• 调用: 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)(要直接调用实现,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);从台账取用则 opsrangedoppler.get("fmcw_design"))

用法

FMCW 配置的 bin 宽度、分辨率与混叠极限。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

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)

详细使用指南

• fmcw_range_doppler 族使用指南

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。

• 算法的正典(作者、年份)与用途见上面的族使用指南。

可运行的示例(实际调用该算子并已验证的样例)

• fmcw_range_doppler — py -3.11 examples/fmcw_range_doppler.py

类型可衔接的下一个算子(可接受 `table` 作为输入)

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同类别(`design`)

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*Provenance: rangedoppler.py — RANGEDOPPLER 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

fmcw_design — RANGEDOPPLER design op

用法