提出了MIMO阵列系统利用白高斯随机过程设计恒定包络波形算法,实现给定发射波形的协方差矩阵.该算法首先对白高斯随机过程去白化得到高斯随机变量,建立恒定包络波形相关矩阵与高斯随机变量相关矩阵之间的关系,再采用无记忆性非线性投影函数把高斯随机变量投影到恒定包络随机变量,从而解出恒定包络波形.与现有的阵列系统波形设计算法相比,本文算法给出了波形设计的解析解,并且对于BPSK和QPSK,波形可从有限字符中选取.仿真结果表明,本文算法能有效设计MIMO阵列恒定包络波形.
An algorithm for generating constant envelope(CE) waveforms from white Gaussian random process to realize a given covariance matrix is proposed for multiple-input multiple-output(MIMO) array systems in this paper.In our method,a memoryless nonlinear function is used to map Gaussian random variables(RV's) onto CE random variables.The relationship between the covariance matrices of Gaussian RV's at the input of the nonlinear function and non-Gaussian RV's at their output is established.Thus,CE waveforms can be obtained through the nonlinear function from the Gaussian RV's resulted from de-whitening a white Gaussian random process.In contrast to available algorithms,the proposed algorithm provides a closed-form solution to find the required waveforms,and suggests that waveforms can be chosen from finite alphabets,such as BPSK and QPSK.The numerical results illustrate the effectiveness of the algorithm proposed for MIMO array CE waveform design.