A circular zone partition method for identifying Duffing oscillator state transition and its application to BPSK signal demodulation  

作　　者：FU YongQing WU DongMei ZHANG Lin & LI XingYuan 

机构地区：[1]College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China [2]College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China

出　　处：《Science China(Information Sciences)》2011年第6期1274-1282,共9页中国科学（信息科学）（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.60772025);the Science Research Fund of Harbin Engineering University(Grant No.HEUF0507)

摘　　要：When a Duffing oscillator is applied to signal detection, identifying its state transition is indispensable. Due to lack of an effective method for automatically distinguishing the state transition, phase analysis is extensively used. However, it needs ocular estimation to identify phase pattern corresponding to transition of Dulling oscillator. Hence it is not fit for communication signal demodulation. To solve the problem, this paper proposes a method, called circular zone partition （CZP）, for partitioning trajectory on the phase plane of Dnfifing oscillator. First, a computing model for Duffing oscillator is described. Then, the fundamental principle and algorithm for the CZP method are discussed. Meanwhile the equation of a circular zone divider and its realization are presented. Thus, by way of the divider, the two-dimensional phase trajectory pattern of Dulling oscillator driven by an external signal can be transformed into the one-dimensional time signal, whose envelop after being filtered is able to indicate the state transition, i,e. the presence or the absence of external signal. Finally, to verify the effect of the CZP method on binary phase shifted keying （BPSK） signal demodulation, two examples axe presented and simulation results show that this CZP method is accurate and valid for BPSK signal demodulation.When a Duffing oscillator is applied to signal detection, identifying its state transition is indispensable. Due to lack of an effective method for automatically distinguishing the state transition, phase analysis is extensively used. However, it needs ocular estimation to identify phase pattern corresponding to transition of Dulling oscillator. Hence it is not fit for communication signal demodulation. To solve the problem, this paper proposes a method, called circular zone partition （CZP）, for partitioning trajectory on the phase plane of Dnfifing oscillator. First, a computing model for Duffing oscillator is described. Then, the fundamental principle and algorithm for the CZP method are discussed. Meanwhile the equation of a circular zone divider and its realization are presented. Thus, by way of the divider, the two-dimensional phase trajectory pattern of Dulling oscillator driven by an external signal can be transformed into the one-dimensional time signal, whose envelop after being filtered is able to indicate the state transition, i,e. the presence or the absence of external signal. Finally, to verify the effect of the CZP method on binary phase shifted keying （BPSK） signal demodulation, two examples axe presented and simulation results show that this CZP method is accurate and valid for BPSK signal demodulation.

关 键 词：CHAOS nonlinear oscillators signal detection digital communication RECEIVERS 

分 类 号：TP393.08[自动化与计算机技术—计算机应用技术] O322[自动化与计算机技术—计算机科学与技术]