Variance analysis on sinusoid frequency estimators based on the argument of the sample autocorrelation function
Guoqing Qi · Journal of Dalian Maritime University · 2007
Frequency estimators based on the argument of the sample autocorrelation function outperform those based on the phase of the samples of the sinusoid signal in additive white Gaussian noise background.The expression of the noise in the argument of the sample autocorrelation function was given to investigate the performance of these estimators.And formulas for evaluating the variance of sample autocorrelation argument noise and the variance of frequency estimation based on the sample autocorrelation argument were derived.The relations among frequency estimation variance and signal-to-noise ratio,length of the measurement time,and sample numbers used in smoothing the autocorrelation function can be determined using these formulas.Computer simulation results confirm the correctness of the proposed formulas.