A novel chaotic attractor and its weak signal detection application

Abstract

In this paper, we present a new sinusoidal chaotic attractor and its weak signal detection application. This new system has a simple structure, parametric variety and high applicability. Its dynamic characteristics are studied in detailed. Firstly, the relationship between the system state and the amplitude of the forcing term is defined by examining the Lyapunov exponents of the system. The chaotic system's dynamical behavior is observed by this way. Secondly, the critical threshold value of the system is determined by the bifurcation analysis. This critical value named as tangent bifurcation point is a suitable one to detect weak signal which is submerged in strong noise. Thirdly, electronic circuit of the novel chaotic attractor is designed. Finally, a weak signal detection application of the system is studied. Simulation results indicate that this system can detect weak signal with high detection accuracy and low signal to noise ratio (SNR). Itcan also detect weak signal in high frequency cases. Matlab-Simulinle (R) and PSpice simulation results prove the correctness of the theoretical analysis of studied system. (C) 2016 Elsevier GmbH. All rights reserved.