DspFading

Sampling jitter in the loop: the two halves of the fading identity

6/6 passed in 3271ms

Test	What it does	Result
test_jitter_domain	A negative, NaN or infinite jitter is refused, and so is a finite one whose square overflows, $\exp (-\mathrm{\infty }{g}^2)$ being NaN at $g=0$.	✅ pass
test_jitter_is_off_by_default	Jitter named at 0.0 and jitter not named return all six scalars bit for bit.	✅ pass
test_pilot_arm_is_untouched	v_err, v_wrap, pilot_snr and cfo are bit-identical at every jitter, a mistimed sample moving a CW pilot in phase (1.3e-6 rad^2 at 180 MHz and a tenth of a 10 ps width), not amplitude.	✅ pass
test_residual_is_the_timing_row	xi_hat rises by impairments.timing plus the channel $\xi$ renormalised by $1/⟨\sqrt{\eta }{⟩}^2$, at $V_A={10}^5$ to lift the step clear of shot noise.	✅ pass
test_row_leaves_transmittance_at_T	The timing row against an unattenuated $T$ over-states the recovered signal by 0.50% at j/w = 0.1, 3.1% at 0.25 and 12.5% at 0.5.	✅ pass
test_slope_reads_the_overlap	The fitted transmittance tracks $T⟨\sqrt{\eta }{⟩}^2$ from impairments.jitter_fading against the same-seed unfaded run at j/w = 0.1, 0.25 and 0.5.	✅ pass