Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer SciencesVol.E88-ANo.7pp.2019-2022 Publication Date: 2005/07/01 Online ISSN: DOI: 10.1093/ietfec/e88-a.7.2019 Print ISSN: 0916-8508 Type of Manuscript: LETTER Category: Digital Signal Processing Keyword: phase estimation, maximum likelihood estimator, sinusoidal signal,
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Summary: In this Letter, estimation of the phase of a real sinusoid with known frequency in white Gaussian noise is addressed. Based on the Newton-Raphson iterative procedure, two simple realizations of exact maximum likelihood phase estimators for known and unknown amplitude are devised. Computer simulations are included to contrast the performance of the proposed algorithms with the approximate maximum likelihood estimate as well as Cramér-Rao lower bound for different phase values and signal-to-noise ratios.