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

Kenneth Wing-Kin LUI  Hing-Cheung SO  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E91-A   No.3   pp.875-878
Publication Date: 2008/03/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e91-a.3.875
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
frequency estimation,  linear prediction,  single sinusoid,  

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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.