An exact analysis of Modified Covariance frequency estimation algorithm based on correlation of single-tone

The Modified Covariance (MC) algorithm, which exploits the time-domain correlation of sinusoidal signals, has been shown to be a simple but efficient method for the frequency estimation of single-tone. Recently MC method based on correlation sequence was investigated. Both simulation and theoretical analyses show that it is more robust to noise than the conventional MC method that is directly based on the recorded signal [6]. However, the analysis in [6] is only valid when lower-order lags of correlations are applied. In this communication we provide new analytical result to tackle this difficult.