Nakagami衰落信道下正交空时分组码的容量分析

Analysis of the capacity of orthogonal space-time block codes over Nakagami fading channels

由于空时分组码可以正交化MIMO信道,且其编译码相对简单,因此被广泛用在了MIMO无线通信系统中.基于Nakagami分布的广泛适应性,研究了Nakagami衰落下信道增益的矩生成函数(MGF),推导出了等增益和不等增益两种情况下信道增益的概率密度函数,并导出一般情况下信道增益的概率密度函数,然后利用得到的概率密度函数推导出Nakagami衰落下空时分组码系统信道容量的表达式,并对其进行了仿真和分析.

It is well known that space-time block codes can orthogonalise MIMO channel with relatively simple encoding and decoding, thus it is widely used in the MIMO wireless communication systems. Firstly it is studied the moment generating function （MGF） of the channel gains over Nakagami fading, and next derived the probability density function of the channel gains under the cases of equal channel gains, unequal channel gains and generic channel gains. Then, it is derived the capacity formulas for the cases mentioned above when employing space-time block codes. Simulations are presented at the end.