Parameter Estimation of Sinusoid Frequency Modulation Signal in Heavy-tailed Noise

Abstract

In this paper, we proposed a novel algorithm based on the generalized cyclic stationary characteristics for estimating sinusoidal frequency-modulated (SFM) signals in the presence of heavy-tailed noise. The properties of the cyclic autocorrelation function for parameter estimation are first investigated. Then, the modulation frequency of the SFM signal is estimated based on the generalized cyclic stationary characteristics. Finally, the carrier frequency and modulation index are achieved by constructing the reference signal. Theoretical analysis and numerical simulation indicate that the proposed method can significantly improve the performance of parameters estimation of SFM signals in the presence of heavy-tailed noise.