A closed-form expanded autocorrelation method for frequency estimation of a sinusoid

Authors:
Yan Cao;Gang Wei;Fang-Jiong Chen
Affiliations:
School of Electronic and Information Engineering, South China University of Technology, 381 Wushan Road, Guangzhou 510640, China;School of Electronic and Information Engineering, South China University of Technology, 381 Wushan Road, Guangzhou 510640, China;School of Electronic and Information Engineering, South China University of Technology, 381 Wushan Road, Guangzhou 510640, China
Venue:
Signal Processing
Year:
2012

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Abstract

A closed-form expanded autocorrelation method for real single-tone frequency estimation is proposed. Firstly, the modified covariance (MC) method based on multiple autocorrelation lags is applied to provide a coarse frequency estimate. Then, a closed-form adjustment term based on a least square cost function is derived to get the fine frequency estimate. Simulation results show that the performance of the proposed algorithm, when compared with several existing closed-form time-domain estimators, is closer to the Cramer-Rao bound (CRB). Moreover, the proposed method has lower computation complexity than other autocorrelation-based approaches, which also use multiple autocorrelation lags.