A new piecewise-linear stochastic resonance model

We put forward a new piecewise-linear stochastic resonance(SR) model for detecting the weak signal under the strong noise background for the large parameter case. Parameters of this piecewise-linear stochastic resonance system are less correlated than those of the traditional continuous non-linear bistable system, so that it is much easier to adjust the response characteristic of this system and generate the SR under the large parameter signals case. Here we show its description equations and character parameters. Through numerically simulating its performance under the noiseless, noisy, small parameter and large parameter cases respectively, we illustrate that this system is very helpful for detecting the weak signal under the strong noise background not only for the small parameters case, but also for the large parameters case.