A new phase estimator of single sinusoid by restricted phase unwrapping

Abstract

In order to estimate the original phase of a sinusoid corrupted by additive noise accurately, this paper proposes a novel phase estimator which based on restricted phase unwrapping and Tretter’s phase estimation algorithm. Using appropriate linear combinations for observed phase, restricted phase unwrapping is easily performed on the basis of the principle of minimum phase error. A formula for evaluating the error probability of restricted phase unwrapping is presented. Simulation results show that the SNR threshold of restricted phase unwrapping method is much lower than that of traditional unwrapping methods, and the estimator derived attains the Cramer–Rao lower bound (CRB) at high SNR, which has better performance than the segmented DFT estimator developed in [10, 13] and the all-phase FFT estimator in [14].