A novel frequency estimation method for harmonic signal in chaos

Abstract

In this paper, we present a new method to estimate the frequencies of the harmonic signals embedded in strong chaotic interference. The method is based on wavelet multi-scale decomposition algorithm and correlation theory. Since the statistical characteristics of the harmonic signal and the chaotic interference are different, we use wavelet multi-scale decomposition algorithm to separate the harmonic signal from the chaotic interference and apply correlation theory to estimate the frequencies of the harmonic signals. The case in which white Gaussian noise exists in the chaotic interference is also studied in the paper. The method does not need either the dynamical equation or the reconstruction of the phase space of the chaotic interference. Theoretical analysis and simulation results validate the effectiveness of the proposed method.