Robust Frequency Estimation of Sampled Sinusoidal Signals with Impulsive Noise

This paper presents a robust method for estimating the signal frequency of sampled sinusoidal signals, which are corrupted by impulsive noise. Hampel estimator is proposed to robustify the frequency estimation. It was observed that the average frequency estimation error becomes zero when a (2/3)π phase interval was considered to calculate the signal difference. Numerical simulation results show that the frequency estimation error when impulsive noise is added to the input data approaches the Cramer-Rao bound. Further, the effect of harmonic components on the frequency estimation error minimization is also considered, when the phase interval is close to (2/3)π and the total number of data sample covers several signal periods or truncated close to an integer multiple of the signal period.