EKF Tracker under Barrage Jamming

ADVANTAGES1 · dim 10

SolvSRK wins. At the comparison noise level, SolvSRK beats the best baseline by at least 10 percentage points of survival, or by at least 0.05 balanced score when survival is tied. Use SolvSRK for this class of problem. All verdicts →

EKF target tracker under barrage jammer with sigmoid-smoothed on/off switching (k=50). Target state (6) + jammer power, duty cycle, J/S ratio, noise floor (4). Stiffness from ~1 Hz jammer switching vs ~0.1 Hz target dynamics.

Electronic warfare

Problem definition

Skolnik, 'Radar Handbook' (3rd ed., 2008) Ch. 24; Adamy, 'EW 101' (2001) Ch. 5

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 _sigmoid(x: float | np.ndarray) -> float | np.ndarray:
    return 1.0 / (1.0 + np.exp(-np.clip(x, -500.0, 500.0)))

def rhs(t, y):
    d = np.empty(10)

    # target kinematics — straight line
    d[0] = y[3]
    d[1] = y[4]
    d[2] = y[5]
    d[3] = 0.0
    d[4] = 0.0
    d[5] = 0.0

    J_power = y[6]
    J_duty = y[7]
    J_over_S = y[8]
    noise_floor = y[9]

    switch_val = _sigmoid(_K_SIG * np.sin(two_pi_over_T * t))

    # jammer power with sigmoid switching
    d[6] = -J_power * inv_tau_j + J_max * switch_val

    # duty cycle tracks the switching signal
    d[7] = (switch_val - J_duty) * inv_tau_duty

    # J/S ratio
    J_duty_safe = max(J_duty, 1e-10)
    d[8] = (J_power * J_duty_safe / S_signal - J_over_S) * inv_tau_js

    # noise floor rises with J/S
    d[9] = (n0 * (1.0 + J_over_S) - noise_floor) * inv_tau_nf

    return d
Parameters
  • J_max = 100
  • S_signal = 5
  • _K_SIG = 50
  • inv_tau_duty = 10
  • inv_tau_j = 2
  • inv_tau_js = 20
  • inv_tau_nf = 50
  • n0 = 1
  • two_pi_over_T = 4.18879020479
Initial condition
y(0) = [5000, 2000, 1000, -200, 0, 0, 100, 0, 20, 1]
Horizon
t ∈ [0, 30]

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: low

Recommendation snapshot

Clean best: SciPy Radau

Noisy best: SolvSRK

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: EKF Tracker under Barrage Jamming (ekf-tracker-under-barrage-jamming)

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
1SciPy RadauSciPy
100%
12.361,0591.29 s0.912
2SolvSRK
100%
12.142,233223 ms0.908
3Vern9external
100%
12.027,3624.74 s0.904
4Tsit5external
100%
11.819,7402.39 s0.900
5Vern7external
100%
11.523,8824.63 s0.893
6SciPy RK45SciPy
100%
10.721,422208 ms0.874
7SciPy RK23SciPy
100%
10.362,741708 ms0.864
8SciPy DOP853SciPy
100%
10.216,790151 ms0.863
9SciPy LSODASciPy
100%
9.813,83898 ms0.851
10SciPy BDFSciPy
100%
9.520,913665 ms0.846
11CVODE Adamsexternal
100%
9.18,34996 ms0.835
12CVODE BDFexternal
100%
8.910,241115 ms0.832
13FBDFexternal
100%
8.317,6565.48 s0.818
14TRBDF2external
100%
6.246,6766.54 s0.765

At Clean, best balanced arm is SciPy Radau · SolvSRK survival 100%, SCD 12.1.

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_ekf_tracker_under_barrage_jamming_2026,
  title        = {Resonix Evidence Portal: EKF Tracker under Barrage Jamming},
  author       = {{Resonix Labs (Canada) Inc.}},
  year         = {2026},
  howpublished = {\url{https://resonix.tech/evidence/problems/ekf-tracker-under-barrage-jamming}},
  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