Estimation of the Frequency and Phase of a Single Sinusoid Based on the Downsampling Technique

A new phase-based approach for sinusoidal frequency and phase estimation of a single tone is proposed in this paper. The major step is to arrange the observed data into several subsets by downsampling and exploit the new structure for parameter estimation. The maximum likelihood (ML) approach is then developed, and the performance of this estimator is shown to have a uniform performance along the frequency range, which is a major improvement to some conventional phase unwrapping algorithms. Computer simulations also show that the proposed scheme achieves an outstanding performance when the SNR is sufficiently high.