Reformulation of Pisarenko harmonic decomposition method for single-tone frequency estimation

Authors:
H.C. So;K.W. Chan
Affiliations:
Dept. of Comput. Eng. & Inf. Technol., City Univ. of Hong Kong, China;-
Venue:
IEEE Transactions on Signal Processing
Year:
2004

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Abstract

Based on the linear prediction (LP) property of sinusoidal signals, a closed-form unbiased frequency estimator for a real sinusoid in white noise is proposed. The frequency estimator, which is derived by minimizing a constrained least squares cost function, can be considered as a reformulation of the well known Pisarenko harmonic decomposer (PHD). Online computation of the frequency estimate can be achieved in a very simple manner, and its variance is derived. Computer simulations are included to corroborate the theoretical development and to contrast the estimator performance with the PHD, maximum likelihood, and LP-based methods as well as Crame´r-Rao lower bound.