Author(s)

Linfang Liu, Guosheng Rui, Yang Zhang

Corresponding Author

Linfang Liu

ABSTRACT

Chaotic system has excellent performance and is widely used in secure communication, signal detection and other fields, but in practical application, chaotic signal is often polluted by noise. In order to effectively remove the noise in chaotic signal, the basic principle of CEEMD-PR (Complementary Ensemble Empirical Mode Decomposition Partial Reconstruction) is studied, and a CEEMD-PR denoising algorithm based on Lyapunov exponent discrimination (Lya-CEEMD-PR) is proposed, which can effectively suppress the noise in chaotic signal. Compared with the existing method based on the minimum CMSE (continuous mean square error) criterion, it has better detection performance.

KEYWORDS

Lorenz oscillator; Lyapunov exponent; CEEMD-PR; denoising algorithm