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

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 erro...

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Main Authors: Ding WANG, Hui YAO, Ying WU
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2013-03-01
Series:Tongxin xuebao
Subjects:
Online Access:http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2013.03.007/
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author Ding WANG
Hui YAO
Ying WU
author_facet Ding WANG
Hui YAO
Ying WU
author_sort Ding WANG
collection DOAJ
description 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.
format Article
id doaj-art-edd2587497fc4378a3d2c85d75a27e9d
institution Kabale University
issn 1000-436X
language zho
publishDate 2013-03-01
publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-edd2587497fc4378a3d2c85d75a27e9d2025-01-14T06:34:46ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2013-03-0134536759670726Direction-of-arrival estimation performance analysis of the rank reduction estimator in the presence of finite samplesDing WANGHui YAOYing WUThe 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.http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2013.03.007/rank reduction estimatorMUSIC algorithminite samplesmean square errorbiassuccess probability
spellingShingle Ding WANG
Hui YAO
Ying WU
Direction-of-arrival estimation performance analysis of the rank reduction estimator in the presence of finite samples
Tongxin xuebao
rank reduction estimator
MUSIC algorithm
inite samples
mean square error
bias
success probability
title Direction-of-arrival estimation performance analysis of the rank reduction estimator in the presence of finite samples
title_full Direction-of-arrival estimation performance analysis of the rank reduction estimator in the presence of finite samples
title_fullStr Direction-of-arrival estimation performance analysis of the rank reduction estimator in the presence of finite samples
title_full_unstemmed Direction-of-arrival estimation performance analysis of the rank reduction estimator in the presence of finite samples
title_short Direction-of-arrival estimation performance analysis of the rank reduction estimator in the presence of finite samples
title_sort direction of arrival estimation performance analysis of the rank reduction estimator in the presence of finite samples
topic rank reduction estimator
MUSIC algorithm
inite samples
mean square error
bias
success probability
url http://www.joconline.com.cn/zh/article/doi/10.3969/j.issn.1000-436x.2013.03.007/
work_keys_str_mv AT dingwang directionofarrivalestimationperformanceanalysisoftherankreductionestimatorinthepresenceoffinitesamples
AT huiyao directionofarrivalestimationperformanceanalysisoftherankreductionestimatorinthepresenceoffinitesamples
AT yingwu directionofarrivalestimationperformanceanalysisoftherankreductionestimatorinthepresenceoffinitesamples