多阈值系统中高斯混合噪声改善信息的传输

Gaussian Mixture Noise to Improve Information Transmission in Multi-threshold System

讨论高斯混合噪声下多阈值系统中的随机共振现象。对于单峰噪声,当输入信号在阈上时,互信息随着噪声的增强单调递减,噪声总是不利于信息的传输;当信号在阈下时,互信息随着噪声的增强先递增然后再递减,适量的噪声能改善信息传输,随机共振现象存在。对于双峰噪声,信号在阈下或阈上,噪声有时能够改善信息的传输,随机共振和阈上随机共振存在。这些结果说明多阈值系统中噪声改善信息的传输依赖于噪声类型,拓广了随机共振和阈上随机共振在多元信息传输中的应用。

Stochastic resonance in multi-threshold systems is studied for Gaussian mixture noises.For the single-peak Gaussian mixture noise,when the input signal is supra-threshold,mutual information monotonically decrease as the noise intensity increases,noise always deteriorate information transmission.When the input signal is sub-threshold,mutual information first increase and then decline as the noise intensity increases,some noise can improve information transmission,stochastic resonance（SR） exists.For Bimodal Gaussian mixture noise,when the signal is sub-threshold or supra-threshold,noises sometimes can also improve information transmission,SR and supra-threshold stochastic resonance（SSR） exist.These results indicate that noise in multi-threshold systems to improve information transmission depends on the noise types,and extend the application of SR and SSR in the multi-dimensional information transmission.