Abstract

This article presents the analysis of periodic signal detection method based on Duffing system sensitivity to weak influences. The described signal detection method is developed with using of Duffing system that oscillates in chaotic state, without transitions to periodic state. The main advantage of such method is the absence of periodic oscillation modes with low sensitivity. The divergence of Duffing system phase trajectories is investigated with influences of different periodic signals under low signal-to-noise ratio values. The estimation of phase trajectories divergence is performed with using of numeric integration. The signal detection method is analyzed with different forms of input signal: sinusoidal, square, triangle. The analysis shows that a reliable detection of periodic signal can be performed for any of the three presented forms of signal with repeating frequency near the frequency of the driving signal. The obtained results show wide capabilities of Duffing system applications for detection of weak periodic signals.

Highlights

  • At the present time the number of radio electronic devices increases [1,2,3]

  • The development of efficient signal detection methods is necessary for the design of new digital electronics and communication systems with high noise immunity

  • The presented analysis of dependence between amplitude of input signal periodic components and Duffing system phase trajectories divergence shows that the described chaotic system has great capabilities of application for signal detection purposes

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Summary

Introduction

At the present time the number of radio electronic devices increases [1,2,3] This leads to strict requirements to noise immunity and sensitivity of new communication devices [4,5,6]. The development of signal detection methods on the base of chaotic oscillations analysis without state transition is an important problem of chaos-based signal processing [32]. For this purpose the Duffing system is selected in accordance with its relatively simple structure and double-well potential that allows to obtain a high sensitivity to weak signals.

The chaotic dynamics of Duffing system
Discussion
Conclusions
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