Iterative Time-Frequency Filtering of Sinusoidal Signals With Updated Frequency Estimation

In this letter, a sinusoidal time-frequency distribution based filtering (STFD-F) algorithm is proposed and analysed for estimating mono-component stationary sinusoidal signals embedded in strong noise. An initial frequency estimation of the sinusoidal signal is required in the STFD-F algorithm. We theoretically derive the closed-form expressions of the variance and the bias of the estimated signal using the STFD-F, and show that the performance of the STFD-F is dependent on the frequency estimation accuracy, which can be gradually refined by performing an iterative STFD-F procedure. Computer simulations on synthetic sinusoidal signals are presented to corroborate the theoretical analysis.