New Adaptive Algorithm for Unbiased and Direct Estimation of Sinusoidal Frequency

Thomas PITSCHEL  Hing-Cheung SO  Jun ZHENG  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E91-A   No.3   pp.872-874
Publication Date: 2008/03/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e91-a.3.872
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
adaptive filter,  frequency estimation,  fast algorithm,  

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A new adaptive filter algorithm based on the linear prediction property of sinusoidal signals is proposed for unbiased estimation of the frequency of a real tone in white noise. Similar to the least mean square algorithm, the estimator is computationally simple and it provides unbiased as well as direct frequency measurements. Learning behavior and variance of the estimated frequency are derived and confirmed by computer simulations.