Abstract
As a promising technology in signal detection, the chaotic detection system can significantly improve the accuracy of weak signal detection in strong background noise. It benefits from its characteristics of the sensitivity to the initial condition and the immunity to the Additive White Gaussian Noise. However, the fundamental challenges of the existing chaotic detection system are the sensitivity to narrow-band noise and the influences of multi-target detection with adjacent frequency, which bring great difficulties in the real application. To address these problems, in this article, we focus on the weak multi-target detection with adjacent frequency under the narrow-band noise, and a novel chaotic detection system that integrates the detection algorithm based on period-chaos duration ratio is proposed. In order to enhance the robustness to narrow-band noise, the Melnikov method is used to analyze the Duffing difference system. To realize the detection of weak multi-target with adjacent frequency, we proposed the detection system using the rule named general critical state. Furthermore, simulation results corroborate that the proposed system based on period-chaos duration ratio can achieve satisfactory performance in terms of the weak multi-target detection under narrow-band noise, and it is well investigated by extensive simulation for testing its effectiveness.
Highlights
Nowadays, weak signal detection has been widely used in various fields of society, such as mechanical fault detection,[1] biomedical science,[2] deep space exploration,[3] geological disaster prediction,[4] and so on
We proposed the new concept of general critical state to discriminate the output state of the chaotic system and detect the multi-target by the detection algorithm based on period-chaos duration ratio (PCDR)
According to the analysis in ‘‘Problem formulation and analysis’’ section and the definition of PCDR, we proposed a scheme based on the general critical state and PCDR to achieve the detection of the target signal in multi-target under the narrow-band noise, as outlined in the steps explained below
Summary
Weak signal detection has been widely used in various fields of society, such as mechanical fault detection,[1] biomedical science,[2] deep space exploration,[3] geological disaster prediction,[4] and so on. We investigate the obvious distinction in the time-domain waveform of Duffing difference system; we propose the general critical state to discriminate the output state of multi-target effectively; and we obtain an accurate detection in narrow-band noise. When k = 0:5, with g increasing, the phase diagram will go through three states: the chaotic state, the critical state, and the large-scale periodic state Based on the detection method of the critical state in Duffing system, the property of narrowband noise is formulated by Melnikov, and the effect of Figure 3.
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