A robust approach for high resolution frequency estimation

A robust estimation method for frequencies of received signals is considered. The influence function of a robust estimate is derived for the sinusoidal signals. The variance of the robust estimate is also derived using the influence function. It is found that the robust estimate attains the Cramer-Rao lower bound (CRLB) for the contaminated Gaussian distribution. It is of order O(N^-3) and is close to the CRLB for the perfect Gaussian distribution. The authors introduce some basic definitions for the high-resolution frequency estimation method and prove that the robust estimate has the high-resolution property. This property is also confirmed by numerical simulations