MISO有限反馈误符号率下边界分析

The SER low bound analysis of MISO systems with limited feedback

采用矩母函数(MGF)方法进行了多输入单输出(MISO)有限反馈系统误符号率(SER)分析研究。研究表明,有限反馈性能分析对码本设计有指导意义,由于受多方面因素的影响,很难得到误符号率表达式的闭式解,因此进行误符号率下边界的分析是有价值的。本文利用接收信噪比矩母函数和误符号率之间的关系,并且对复球体的球帽表面积做近似处理,得到了误符号率的下边界。该下边界反映了系统的性能受码本大小、发射天线数、调制方式影响,在实际系统的设计中,可以根据误符号率要求得到码本大小。仿真结果验证了理论下边界和实际仿真误符号率的误差小于0.1dB。

By the moment generating function （MGF） approach, the symbol error rate （SER） of multi-input single-output （MISO） systems with limited feedback was studied. The study shows that the performance analysis for limited feedback systems has a guiding significance to the codebook design, and it is meaningful to investigate the SER lower bound because it is difficult to compute the closed-form expression of SER. The lower bound of SER was obtained by exploiting the relation between the MGF of the received signal-to-noise ratio （SNR） and the SER, and utilizing the approximation of the complex cap surface. The derived lower bound indicates that the system performance is affected by the codebook size, transmit antennas and modulation, and meanwhile, the bound determines the codebook size when the SER requirement is given in the practical environment. The SER bound was demonstrated by the numerical simulations, with the error of less than 0.1dB.