Modified Pisarenko harmonic decomposition for single-tone frequency estimation

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

34 Scopus Citations
View graph of relations


Related Research Unit(s)


Original languageEnglish
Pages (from-to)3351-3356
Journal / PublicationIEEE Transactions on Signal Processing
Issue number7 II
Publication statusPublished - Jul 2008


In this correspondence, based on an alternative derivation of the Pisarenko harmonic decomposition (PHD) method, a new asymptotically unbiased estimator for the frequency of a single real tone in white noise is devised with the use of novel sample covariance expressions. Furthermore, extension to sample covariances with higher lags for performance enhancement is investigated while a simple and effective scheme is suggested to resolve the corresponding frequency ambiguity problem. The variance of the modified Pisarenko's method is also derived, which is then utilized to find the best estimate among all admissible solutions from various sets of sample covariances. Computer simulations are included to corroborate the theoretical development and to demonstrate that the proposed approach outperforms several existing low-complexity frequency estimators in terms of nearly uniform performance and estimation accuracy. © 2008 IEEE.

Research Area(s)

  • Frequency estimation, Pisarenko's method, Sample covariance, Single real sinusoid