Pulsed Doppler I/Q — f_d=200Hz, clutter=50dB

DISADVANTAGES1 · dim 8

A baseline wins. At the comparison noise level, the best baseline beats SolvSRK by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use the winning baseline named on the problem page — not SolvSRK. All verdicts →

Wave 1 anti-UAV kill chain. Board approved 2026-05-07.

Radar signal processing

Problem definition

Skolnik (2008), Richards (2010)

Canonical RHS excerpt from the registered callable used for this benchmark cell. Expand it to verify the state equations; it is not a standalone runnable fixture.

Show canonical RHS excerpt
def rhs(t, y):
    I_t, Q_t = y[0], y[1]
    I_c, Q_c = y[2], y[3]
    I_n, Q_n = y[4], y[5]
    P_t, P_c = y[6], y[7]

    xi_c_I = np.interp(t, _noise_ts, noise_table[0])
    xi_c_Q = np.interp(t, _noise_ts, noise_table[1])
    xi_n_I = np.interp(t, _noise_ts, noise_table[2])
    xi_n_Q = np.interp(t, _noise_ts, noise_table[3])

    d = np.empty(8)

    # Target echo: damped sinusoid at Doppler frequency
    d[0] = -TWO_PI * f_d * Q_t - (1.0 / tau_t) * I_t
    d[1] = +TWO_PI * f_d * I_t - (1.0 / tau_t) * Q_t

    # Clutter: near-zero Doppler with exponential decorrelation + noise
    d[2] = -TWO_PI * f_c * Q_c - (1.0 / tau_c) * I_c + sigma_c * xi_c_I
    d[3] = +TWO_PI * f_c * I_c - (1.0 / tau_c) * Q_c + sigma_c * xi_c_Q

    # Thermal noise: independent I/Q (BA-RCT-2)
    d[4] = -(1.0 / tau_n) * I_n + sigma_n * xi_n_I
    d[5] = -(1.0 / tau_n) * Q_n + sigma_n * xi_n_Q

    # Power estimates (smoothed envelope)
    d[6] = (1.0 / tau_avg) * (I_t**2 + Q_t**2 - P_t)
    d[7] = (1.0 / tau_avg) * (I_c**2 + Q_c**2 - P_c)

    return d
Parameters
  • TWO_PI = 6.28318530718
  • _noise_ts = [0, 0.0001, 0.0002, 0.0003, 0.0004, 0.0005, …] [shape=(1001,), min=0, max=0.1]
  • f_c = 5
  • f_d = 200
  • noise_table = [0.125730221093, -0.132104863291, 0.640422650443, 0.104900117153, -0.535669373161, 0.361595054909, …] [shape=(4, 1001), min=-3.89942173005, max=3.25719907472]
  • sigma_c = 316.227766017
  • sigma_n = 1
  • tau_avg = 0.01
  • tau_c = 0.02
  • tau_n = 0.001
  • tau_t = 0.05
Initial condition
y(0) = [1, 0, 316.227766017, 0, 0, 0, 1, 100000]
Horizon
t ∈ [0, 0.1]

Canonical RHS excerpt captured from the same registered callable used for the published benchmark. Frozen closure values are summarized below; helper imports and solver settings are intentionally omitted.

Fingerprint

Spread: low

Default noise: medium

Recommendation snapshot

Clean best: SolvSRK

Noisy best: SciPy RK45

Coverage

14 solver arms · clean + 5 noise levels

Ranked on survival, precision, and speed

Versions & freeze

Methodology →
Freeze
2026-08-13
libsolvsrk
2.3.0
SciPy
1.14
SUNDIALS
CVODE (bundled backend)

20 seeds/cell default · 14 arms · TRL 4–5 · simulation-lab validated · this page: Pulsed Doppler I/Q — f_d=200Hz, clutter=50dB (pulsed-doppler-i-q-f-d-200hz-clutter-50db)

Governed SolvTune benchmark freeze; per-arm medians only. RHS definitions and raw trial rows are not published.

Self-reported by Resonix Labs · not independently verified

Results matrix

Pick an objective and a noise level to rank all arms on survival, median SCD, median nfev, and median wall time. Medians across seeds.

Objective

Best overall trade-off of survival, precision, and speed.

Noise level

#SolverSurvivalSCDnfevWallScore
1SolvSRK
100%
8.9116,054707 ms0.830
2SciPy LSODASciPy
100%
6.947,290446 ms0.784
3FBDFexternal
100%
6.466,6596.66 s0.772
4SciPy BDFSciPy
100%
6.447,5911.84 s0.772
5SciPy RadauSciPy
100%
6.3106,0332.80 s0.769
6SciPy RK23SciPy
100%
6.247,576477 ms0.767
7Tsit5external
100%
6.078,9066.94 s0.763
8CVODE BDFexternal
100%
5.943,300547 ms0.760
9CVODE Adamsexternal
100%
5.626,358333 ms0.753
10Vern9external
100%
5.5221,8589.73 s0.751
11Vern7external
100%
5.1146,0527.56 s0.741
12SciPy DOP853SciPy
100%
4.8138,7821.59 s0.734
13SciPy RK45SciPy
100%
4.650,912401 ms0.730
14TRBDF2external
100%
3.511,3915.16 s0.701

At Clean, best balanced arm is SolvSRK.

Values are medians across seeds, measured by Resonix Labs on Resonix hardware and not independently verified; nfev and wall are on reference lab hardware (indicative). Under injected noise only SolvSRK and the SciPy arms are run. How we measure accuracy → · Verification status →

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Cite this page

Replace the access date. Pin the freeze ID and library versions when comparing against a later export. Cite it as what it is — a self-reported vendor benchmark, not an independently verified result. The note field says so; please keep it.

@misc{resonix_evidence_pulsed_doppler_i_q_f_d_200hz_clutter_50db_2026,
  title        = {Resonix Evidence Portal: Pulsed Doppler I/Q — f_d=200Hz, clutter=50dB},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/pulsed-doppler-i-q-f-d-200hz-clutter-50db}},
  note         = {Self-reported vendor benchmark; internally generated by Resonix Labs and not independently verified. Accessed YYYY-MM-DD. Freeze 2026-08-13; libsolvsrk 2.3.0; SciPy 1.14.}
}

Related

TRL 4–5 · simulation-lab validated · 398 problems · 14 solver arms · clean + 5 noise levels

Freeze: 2026-08-13 · scipy 1.14 · libsolvsrk 2.3.0 · Methodology

Self-reported by Resonix Labs · not independently verified · Verification status