An exact analysis of Pisarenko's single-tone frequency estimation algorithm

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)62_Review of books or of software (or similar publications/items)peer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)685-690
Journal / PublicationSignal Processing
Volume83
Issue number3
Publication statusPublished - Mar 2003

Abstract

A number of statistical analyses of the Pisarenko harmonic decomposition (PHD) method for single-tone frequency estimation were carried out in the literature. Based on asymptotic derivations, however, none of them can provide an accurate frequency variance expression for arbitrary data record lengths and/or signal-to-noise ratios (SNRs). With the use of a simple variance analysis technique, a new closed form expression of the PHD variance is derived in this paper. An approximate PHD variance formula for sufficiently large data lengths and SNRs, as well as the upper and lower performance bounds are also included. © 2002 Elsevier Science B.V. All rights reserved.

Research Area(s)

  • Frequency estimation, Pisarenko's method, Real sinusoid, Variance analysis

Citation Format(s)

An exact analysis of Pisarenko's single-tone frequency estimation algorithm. / Chan, K. W.; So, H. C.

In: Signal Processing, Vol. 83, No. 3, 03.2003, p. 685-690.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)62_Review of books or of software (or similar publications/items)peer-review