Journal on Communications ›› 2013, Vol. 34 ›› Issue (3): 53-67.doi: 10.3969/j.issn.1000-436x.2013.03.007

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Direction-of-arrival estimation performance analysis of the rank reduction estimator in the presence of finite samples

Ding WANG,Hui YAO,Ying WU   

  1. Institute of Information System Engineering, PLA Information Engineering University, Zhengzhou 450002, China
  • Online:2013-03-25 Published:2017-07-20
  • Supported by:
    The National Natural Science Foundation of China;The Future Development Foundation of Infor-mation Engineering College

Abstract:

The DOA estimation performance of the rank reduction estimator(RARE) in the case of finite samples was studied. Based on the perturbation theorem associated with the orthogonal projection matrix of the signal (or noise) sub-space, the first-order and second-order formulas for the DOA estimation errors of the RARE wer derived. Then, the closed-form expressions for mean square error (MSE), bias and direction finding (DF)success probability of the RARE were presented. A variety of numerical experiments concerning some important RARE are conducted to verify the theo-retical analysis.

Key words: rank reduction estimator, MUSIC algorithm, inite samples, mean square error, bias, success probability

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