应用科学学报
應用科學學報
응용과학학보
JOURNAL OF APPLIED SCIENCES
2009年
6期
557-562
,共6页
多输入多输出最大比合并%非Rayleigh信道%空间相关%复超几何函数
多輸入多輸齣最大比閤併%非Rayleigh信道%空間相關%複超幾何函數
다수입다수출최대비합병%비Rayleigh신도%공간상관%복초궤하함수
MIMO-MRC%non-Rayleigh channel%spatial correlation%complex hypergeometric functions
基于矩阵变量复超几何函数的性质,提出一种分析低Rician因子信道下MIMO-MRC系统性能的近似方法.该方法利用非中心复Wishart矩阵有序特征值概率密度函数的上界得到最大特征值的近似概率密度函数,据此求得Rician信道下发射相关MIMO-MRC系统的中断容量、平均信噪比及误符号率等性能的封闭表达式.此外还研究了发射相关Nakagami锁孔信道下MIMO-MRC系统信噪比的概率密度函数,并求得系统平均信噪比的封闭表达式.与已有结果相比,所得到的公式更易于计算.仿真结果验证了推导的正确性.
基于矩陣變量複超幾何函數的性質,提齣一種分析低Rician因子信道下MIMO-MRC繫統性能的近似方法.該方法利用非中心複Wishart矩陣有序特徵值概率密度函數的上界得到最大特徵值的近似概率密度函數,據此求得Rician信道下髮射相關MIMO-MRC繫統的中斷容量、平均信譟比及誤符號率等性能的封閉錶達式.此外還研究瞭髮射相關Nakagami鎖孔信道下MIMO-MRC繫統信譟比的概率密度函數,併求得繫統平均信譟比的封閉錶達式.與已有結果相比,所得到的公式更易于計算.倣真結果驗證瞭推導的正確性.
기우구진변량복초궤하함수적성질,제출일충분석저Rician인자신도하MIMO-MRC계통성능적근사방법.해방법이용비중심복Wishart구진유서특정치개솔밀도함수적상계득도최대특정치적근사개솔밀도함수,거차구득Rician신도하발사상관MIMO-MRC계통적중단용량、평균신조비급오부호솔등성능적봉폐표체식.차외환연구료발사상관Nakagami쇄공신도하MIMO-MRC계통신조비적개솔밀도함수,병구득계통평균신조비적봉폐표체식.여이유결과상비,소득도적공식경역우계산.방진결과험증료추도적정학성.
A method to analyze performance of MIMO-MRC systems in correlated Rician channels with lower Rician factor is presented based on the property of complex hypergeometric functions of matrix arguments. By the upper bound for the joint density of ordered eigenvalues of a complex non-central Wishart matrix, approximate density of its maximal eigenvalue can be derived. Closed-form expressions for the outage capacity, mean SNR and error symbol rate of a MIMO-MRC system in such a Rician channel with correlation at the transmitter are obtained. Furthermore, closed-form expressions for density and mean of SNR of a MIMO-MRC system in Nakagami lock hole channel with correlation at the transmitter are also given. Compared with the previously reported results, the derived formulas are easy to computer. Numerical results verify the accuracy of the derived expressions.