信道预测和天线选择空时码的RCEE分析

RCEE Analysis of Wireless Communication Systems with TAS/OSTBC on Rayleigh Block Fading Channel

设计瑞利块衰落信道上采用信道预测和发射天线选择(TAS)的正交空时分组编码(OSTBC)无线通信系统,需要考虑收发天线数、发送块长、最小均方误差信道预测器长度等参数之间的折衷问题。随机编码错误指数(RCEE)作为一种理论分析工具,可以有效地解决上述问题。利用Meijer-G函数和Tricomi超几何函数推导瑞利块衰落信道上采用信道预测的TAS/OSTBC编码无线通信系统的RCEE解析表达式;利用遍历容量、截止速率、删改指数等参数与RCEE的关系推导其解析表达式。上述性能参数的数值计算与仿真证明了理论分析的正确性。结果还表明,采用信道预测的TAS/OSTBC编码无线系统的RCEE大于反馈时延下TAS/OSTBC编码无线通信系统的RCEE;在低信息速率下可采用删改指数计算使用信道预测的TAS/OSTBC编码无线系统所需的编码长度。

In order to design wireless communication systems with predictive transmit antenna selection(TAS) and orthogonal space-time block code(OSTBC) on Rayleigh block fading channel, the trade-off problem among the number of transmit/receive antennas, the block length, the length of minimum mean square error(MMSE) channel predictor needs to be considered. As a theoretical analysis tool, random coding error exponent(RCEE) can effectively solve the above problems. The closed-form expressions of RCEE of wireless communication systems with TAS/OSTBC on Rayleigh block fading channel are derived by using Meijer-G function and Tricomi hypergeometric function. The closed-form expressions of the relationship among RCEE and ergodic capacity, cut-off rate, expurgated exponent of the above systems are also developed. The numerical calculation and simulation results of the above performance parameters prove the correctness of the above theoretical analysis. The results also show that the RCEE of the TAS/OSTBC wireless communication system with channel prediction is larger than that of TAS/OSTBC wireless communication system under feedback delay. The required code length for the TAS/OSTBC wireless communication system can be calculated by using the expurgated exponent at the low information rate.