Frequency and Phase Estimation for Single Sinusoid Using Cyclic Autocorrelation

YoungKi YOON  HwangSoo LEE  

IEICE TRANSACTIONS on Communications   Vol.E81-B   No.3   pp.689-693
Publication Date: 1998/03/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Mobile Communication
estimation,  cyclostationarity,  cyclic autocorrelation,  cycle frequency,  

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In this letter, we propose new methods for estimating frequency and phase of a complex sinusoid in complex white Gaussian noise. These new estimators use the cyclostationarity of the sinusoid which is a cyclostationary signal type. Only one component corresponding to a lag of zero of cyclic autocorrelations is used to reduce the computational load. The performances of our proposed estimators are compared to those of Kay estimator, Cramer-Rao bound (CRB) and maxim-likelihood estimator (MLE). Simulation results show that our proposed methods can estimate the frequency and phase correctly even in low signal-to-noise ratio (SNR).