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If the SNR (Signal to Noise Rate) of sampling data is less than -10 dB, the signal is usually called ldquoweak signalrdquo. Initial phase measurement of weak sine signal has extensive engineering application merits. When the system parameter is near its threshold, the phase to be measured is also has corresponding threshold, because the threshold is the inflexion of the system state transition, then...
Definition, significance and traditional method of weak signal detection (WSD) are introduced. Content of WSD methods based on chaos theory is sorted in detail. Theory base, principle and main content of WSD method based on chaos oscillator are introduced. Its main content contains detection task, detection system, detection condition, chaos criterion, method improvement and method realization. Detection...
In the present paper, duffing system is used to produce chaotic time series which is then used to reconstruct phase space, RCD algorithm is used to computer the largest Lyapunov characteristic exponent (LCE1), detailed program of these tasks successfully debugged in in Matlab 7.1 is given, experiment method is used to choose parameter in the program, LCE1 and dichotomy is used to find system parameter...
The rich nonlinear dynamics of chaos allows to model a broad variety of systems, including complex biological ones. The system of interest is usually observed through some time series and the modelling problem consists of adjusting the parameters of a model chaotic system until its dynamics is matched to the reference time series. In this paper, we describe a general methodology to adaptively select...
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