相关衰落信道的随机微分方程模型  

Models of Stochastic Differential Equations for Correlated Fading Channels

作　　者：扈罗全[1] 施亚申[1] 陆全荣[1] 朱洪波[2] 

机构地区：[1]苏州出入境检验检疫局,江苏苏州215104 [2]南京邮电大学通信与信息工程学院,江苏南京210003

出　　处：《苏州大学学报（工科版）》2009年第3期10-15,共6页Journal of Soochow University Engineering Science Edition (Bimonthly)

基　　金：国家自然科学基金资助项目(编号60772061);江苏出入境检验检疫局科研资助项目(编号2009KJ14)

摘　　要：研究使用随机微分方程产生相关衰落信道中接收机的抽头统计量。使用Langevin方程对发生Doppler频移的随机相位进行建模,在对多径分量的幅度增益进行合理建模以后,从理论上证明表征抽头带通信号的统计特性仍然服从Rayleigh分布。使用仿真方法研究了相关衰落信道统计量的一些统计特性,发现随机相位是具有一定相关关系的高斯变量,所得抽头为独立的Rayleigh变量。Stochastic differential equations （SDE） are applied to generate correlated random variables as receiver taper of fading channels. It is assumed that the random phases can be modeled through a Langevin equation and the amplitude gains follow a reasonable distribution, which are characterized by SDE. We further prove that the bandpassed signals of tap in muhipath channel still follow Rayleigh distribution. Simulation results of statistical characteristics of correlated fading channel, such as correlation function and Doppler power spectrum, agree well with the theoretic values. The random phase is correlated Gaussian variables and the taper is the independent Rayleigh variables, which demonstrate the applicability of the proposed methodology.

关 键 词：无线通信 随机微分方程 随机模型 衰落信道 扩散过程 

分 类 号：TN929.5[电子电信—通信与信息系统]