Unbiased estimation of the phase of a sinusoid
Date of Original Version
Estimation of the phase of a sinusoid is an important problem in signal processing. The usual maximum likelihood estimator is biased and so can produce poor results, especially at low signal-to-noise ratios and/or short data records. It is proven that no unbiased estimator exists; based on the proof, several means of obtaining estimators with less bias than the maximum likelihood estimator are proposed.
ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Peters, Keith, and Steven Kay. "Unbiased estimation of the phase of a sinusoid." ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings 2, (2004): ii-493. doi:10.1109/ICASSP.2004.1326302.