Frequency Estimation of Real-Valued Single-Tone Using High Lags Autocorrelation

Based on the linear prediction (LP) property and high lags autocorrelation of sinusoidal signals, a new frequency estimators of real sinusoid signal in additive white Gaussian noise is proposed. The new estimator is inspired by the alternative derivation of Pisarenko harmonic decomposer (PHD). A simple cubic function of autocorrelation coefficients is then employed for frequency estimation. Computer simulations are included to show the performance of the proposed estimator via comparison with Cramer-Rao lower bound (CRLB) and several conventional frequency estimators.