Distribution of Inner Product of Two Complex Gaussian Vectors and its Application to MPSK Performance
Distribution of Inner Product of Two Complex Gaussian Vectors and its Application to MPSK Performance
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DOI：
10.1109/icc.2008.866
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发表时间：
2008-05
期刊：
影响因子：
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通讯作者：
R. Mallik
中科院分区：
文献类型：
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作者：
R. Mallik
考虑两个独立的复高斯向量，其具有任意均值向量和协方差矩阵，协方差矩阵是单位矩阵的缩放版本。联合特征函数（c.f.）以封闭形式导出了这两个向量的内积的真实的实部和虚部的关系。这个联合CF。应用于平坦瑞利衰落信道下多分支分集接收系统的误符号概率分析。接收机采用最大比合并和最小二乘信道估计相结合的方法，利用导频符号进行信道估计.对于二进制相移键控、具有高信噪比近似的MPSK和具有独立同分布衰落的MPSK的情况，得到了SEP的封闭形式表达式。
Consider two independent complex Gaussian vectors having arbitrary mean vectors and covariance matrices which are scaled versions of the identity matrix. The joint characteristic function (c.f.) of the real and imaginary parts of the inner product of these two vectors is derived in closed form. This joint c.f. is applied to the analysis of the symbol error probability (ESP) of a multibranch diversity reception system in flat Rayleigh fading using M-ary phase-shift keying (MPSK). The receiver employs maximal- ratio combining with least squares channel estimation by means of pilot symbols. Closed form expressions of the SEP are obtained for the cases of binary phase-shift keying, MPSK with high signal- to-noise ratio approximation, and MPSK with independent and identically distributed fading.