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Modified covariance, Pisarenko harmonic decomposition and reformed Pisarenko harmonic decomposition methods are three closed form frequency estimators, which are derived from the linear prediction property of sinusoidal signals. In this paper, we develop the recursive least-squares-type realizations of these estimators for a single real tone, and their frequency tracking performances are contrasted...
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...
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