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Estimated ​

The sampled pipeline recovers the channel the closed form was given

4/4 passed in 9340ms

TestWhat it doesResult
test_estimator_narrowsOver sixteen times the symbols the spread of the T estimate narrows between 2.5 and 8 times, measured 4.2 to 5.6 against the square-root law's 4.0.✅ pass
test_estimator_unbiasedWith noiseless lasers and a 30 dB pilot the estimated T and xi sit within five standard errors of the simulated channel from 25600 to 409600 symbols; at the 12 dB default xi is biased by +1.2e-2 SNU.✅ pass
test_pilot_leaksThe pilot leak xi_hat - xi_ideal divided by 10^(-pilot_db/10) holds 0.155 SNU to 2.6% at pilot depths 3, 6 and 9 dB, asserted to 7%.✅ pass
test_rate_convergesTrusted homodyne cv_rate on the estimates lands within three standard errors of cv_rate on the truth at 409600 symbols.✅ pass