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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Language: | zho |
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Editorial Department of Journal on Communications
2013-03-01
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Series: | Tongxin xuebao |
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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 |