Single Sinusoidal Frequency Estimation Using Second and Fourth Order Linear Prediction Errors

Authors:
Kenneth Wing-Kin Lui;Hing-Cheung So
Affiliations:
-;-
Venue:
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Year:
2008

Citing 2
Cited 0

Digital spectral analysis: with applications

Digital spectral analysis: with applications
Reformulation of Pisarenko harmonic decomposition method for single-tone frequency estimation

IEEE Transactions on Signal Processing

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Abstract

By utilizing the second and fourth order linear prediction errors, a novel estimator for a single noisy sinusoid is devised. The frequency estimate is obtained from a solving a cubic equation and a simple root selection procedure is provided. Asymptotical variance of the estimated frequency is derived and confirmed by computer simulations. It is demonstrated that the proposed estimator is superior to the reformed Pisarenko harmonic decomposer, which is the improved version of Pisarenko harmonic decomposer.