A Simpler Proof of Rapid Convergence Rate in Adaptive Arrays

作者:Liu, Jun*; Liu, Weijian; Liu, Hongwei
来源:IEEE Transactions on Aerospace and Electronic Systems, 2017, 53(1): 135-147.
DOI:10.1109/TAES.2017.2649678

摘要

Reed, Mallett, and Brenann (RMB) derived the distribution of the normalized output signal-to-noise ratio (SNR) of an adaptive array, and obtained the RMB rule: the SNR loss is 3 dB when the amount of homogeneous training data used to estimate the noise covariance matrix is approximately twice the dimension of the received signal. Here, we give a new and simpler derivation for this result, based on Bartlett's decomposition of a complex Wishart distribution.