Stochastic Resonance In A Class Of Time-discrete Systems

With the rapid development of modern society, the world urgently requires improvements inweak signal detection technology. Generally, scientists reduce or suppress the background noise toimprove the signal-to-noise ratio of the system. However, an "abnormal" reaction will appear insome nonlinear systems which satisfy some certain conditions, namely noise is conducive to signaltransmission and provides a new idea to enhancing the weak signal detection performance in thecontext of strong noise. Stochastic resonance (SR) term is used to describe the reaction of“abnormal”.Using a new output signal-to-noise ratio, signal-to-noise ratio gain and correlation coefficientas measures, this paper studies the SR phenomenon of a class of time-discrete systems with theuniform noise and the Gaussian noise by computer simulation. This paper can be summarized as thefollowing five parts:The first part describes the background knowledge of stochastic resonance, the development ofstochastic resonance at home and abroad, the innovation of this paper and the arrangement ofchapters.The second part describes some basic studies which are related to this paper, including sometypical stochastic resonance models, some theories of stochastic resonance, some standards usuallyused to measure the stochastic resonance and the analysis of several common signals using thesoftware MATLAB.The third part studies the stochastic resonance phenomenon which is based on a new outputsignal-to-noise ratio and signal-to-noise ratio gain in the uniform noise and the Gaussian noise in aclass of time-discrete systems.The fourth part uses correlation coefficient as a measure and chooses different thresholdparameters and different types of input signals to survey how noise improves the correlation ofinput signal in a class of time-discrete systems.The fifth part gives the summary and scope of this paper.