Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm
Based on the perturbation theorem of orthogonal projection matrix,the first-order statistical expression of spatial spectrum of the MUSIC algorithm was deduced and a quadratic equation for solving the mean signal-to-noise ra-tio（SNR） resolving threshold was derived,through which the corresponding SN...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2010-01-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/74648694/ |
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| _version_ | 1841537748348960768 |
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| author | WANG Ding WANG Chao WU Ying |
| author_facet | WANG Ding WANG Chao WU Ying |
| author_sort | WANG Ding |
| collection | DOAJ |
| description | Based on the perturbation theorem of orthogonal projection matrix,the first-order statistical expression of spatial spectrum of the MUSIC algorithm was deduced and a quadratic equation for solving the mean signal-to-noise ra-tio（SNR） resolving threshold was derived,through which the corresponding SNR resolution threshold could be obtained. Compared to currently existing method,the first-order statistical expression of spatial spectrum only involves array manifold vector and source covariance matrix instead of the eigenvalue and eigenvector of the ideal array covariance matrix,besides,the mean SNR resolving threshold is suitable in the presence of power difference of two signal sources. Numerical experiments validate the correctness of theoretical analysis. |
| format | Article |
| id | doaj-art-c500a977c20140a69facdce5b65165df |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2010-01-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-c500a977c20140a69facdce5b65165df2025-01-14T08:25:39ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2010-01-0131556374648694Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithmWANG DingWANG ChaoWU YingBased on the perturbation theorem of orthogonal projection matrix,the first-order statistical expression of spatial spectrum of the MUSIC algorithm was deduced and a quadratic equation for solving the mean signal-to-noise ra-tio（SNR） resolving threshold was derived,through which the corresponding SNR resolution threshold could be obtained. Compared to currently existing method,the first-order statistical expression of spatial spectrum only involves array manifold vector and source covariance matrix instead of the eigenvalue and eigenvector of the ideal array covariance matrix,besides,the mean SNR resolving threshold is suitable in the presence of power difference of two signal sources. Numerical experiments validate the correctness of theoretical analysis.http://www.joconline.com.cn/zh/article/74648694/MUSIC algorithmamplitude-phase errorsspatial spectrumorthogonal projection matrixresolving threshold |
| spellingShingle | WANG Ding WANG Chao WU Ying Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm Tongxin xuebao MUSIC algorithm amplitude-phase errors spatial spectrum orthogonal projection matrix resolving threshold |
| title | Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm |
| title_full | Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm |
| title_fullStr | Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm |
| title_full_unstemmed | Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm |
| title_short | Analysis of the effects of the amplitude-phase errors on spatial spectrum and resolving performance of the MUSIC algorithm |
| title_sort | analysis of the effects of the amplitude phase errors on spatial spectrum and resolving performance of the music algorithm |
| topic | MUSIC algorithm amplitude-phase errors spatial spectrum orthogonal projection matrix resolving threshold |
| url | http://www.joconline.com.cn/zh/article/74648694/ |
| work_keys_str_mv | AT wangding analysisoftheeffectsoftheamplitudephaseerrorsonspatialspectrumandresolvingperformanceofthemusicalgorithm AT wangchao analysisoftheeffectsoftheamplitudephaseerrorsonspatialspectrumandresolvingperformanceofthemusicalgorithm AT wuying analysisoftheeffectsoftheamplitudephaseerrorsonspatialspectrumandresolvingperformanceofthemusicalgorithm |