阵列天线输出自相关矩阵及其误差分析

On output autocorrelation matrix of array antenna and its error

引入相对误差矩阵范数的定义,讨论了实际阵列天线输出样本的自相关矩阵与连续采样下自相关矩阵的差别,与采样快拍数、信号的相关性,信号与噪声之间的正交性以及噪声的正交性等因素的关系。并通过数值计算,具体分析了不同情形下,样本自相关矩阵收敛于理想自相关矩阵的速度变化。

In this paper, with definition of a norm of the relative error matrix, the difference between the sampled autocorrelation matrix and the ideal one is measured. Thus, the different impacts on norm of the relative error matrix from several factors, such as the correlation coefficient between signals, orthogonalities between signals and those between signals and noises, and the snapshots etc., are evaluated numerically in a specified scenario, which is expected to be helpful in effective array design.