一类带Gauss白噪声的随机信号传递系统的优化建模与系统分析

Modeling and analysis of a kind of stochastic signal transfer systems with Gauss white noise

运用随机控制理论与方法 ,提出并研究了一类带Gauss白噪声的随机信号传递系统的数学建模与优化问题 .对在这类信号下的可容许编码函数与译码函数进行了最佳运算与优化分析 ,得到了该状态下的两个最佳控制数学模型 ;给出了此类随机信号传递系统的最佳编码与最佳译码的建立方法 。

The mathematic modes of a kind of stochastic signal transfer systems with Gauss white noise is established using the theory and the method of stochastic control. The optimal operations and the optimal analyses of the tolerable coding function and decoding function under the kind of signals are carried out, and two mathematical models of optimal control are obtained. The method of establishing the optimal coding and the optimal decoding of the kind of stochastic signal transfer systems is presented, which provides a perfect mathematically processing method for further increasing the efficiency of this kind of signal transfer systems.