Time-frequency analysis of chaos system based on Wigner distribution

The paper first analysis the energy distribution of chaos signal by Wigner distribution. Wigner distribution is one of time-frequently distribution methods and can describe signal energy distribution. At the same time, we analysis respectively the Wigner distribution of chaos signal and random signal by time-frequently distribution, the problem is dealt with successfully, which the two signal is difficult to be distinguished by correlation method and spectrum method. Simulation experiment indicate that chaos system is a narrowband system, for the frequency band of the mixed signal of chaos system becomes narrow, show that it can fully suppress the signal outside inherent frequency, like noise. The narrowband filter character of chaos system proposed in this paper offers way and method for detecting weak signal in strong noise.