List of references on spectral line analysis
Signal Processing
On statistical analysis of Pisarenko tone frequency estimator
Signal Processing
Phase dependence mitigation for autocorrelation-based frequency estimation
Digital Signal Processing
Improved Variant of Pisarenko Harmonic Decomposition for Single Sinusoidal Frequency Estimation
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Estimation of the parameters of sinusoidal signals in non-Gaussian noise
IEEE Transactions on Signal Processing
Clustering the wireless Ad Hoc networks: A distributed learning automata approach
Journal of Parallel and Distributed Computing
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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.