Underdetermined mixing matrix estimation algorithm based on tensor analysis
Aiming at the problems of difficult to extract effective feature information and the slow convergence speed of the underdetermined matrix estimation, an underdetermined matrix estimation algorithm of instantaneous mixtures based on tensor analysis was proposed to overcome the constraint of signal sp...
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| Format: | Article |
| Language: | zho |
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Editorial Department of Journal on Communications
2022-11-01
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| Series: | Tongxin xuebao |
| Subjects: | |
| Online Access: | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2022206/ |
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| _version_ | 1841539979893800960 |
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| author | Baoze MA Guojun LI Cuiling XIANG Yang XU |
| author_facet | Baoze MA Guojun LI Cuiling XIANG Yang XU |
| author_sort | Baoze MA |
| collection | DOAJ |
| description | Aiming at the problems of difficult to extract effective feature information and the slow convergence speed of the underdetermined matrix estimation, an underdetermined matrix estimation algorithm of instantaneous mixtures based on tensor analysis was proposed to overcome the constraint of signal sparsity.In the proposed algorithm, the symmetric third-order tensor was constructed via the autocovariance matrix of segmentation sub-block, which was compressed into a kernel tensor to reduce the size of the data.An enhanced line search technology was applied to speed up the convergence of alternating least squares method, and the factor matrix was used as the measure of the mixing matrix estimation, but the selection of the number of segmentation sub-blocks was an open problem.Experimental results demonstrate that the proposed algorithm outperforms the sparse transformation method and the traditional high-order statistical method in handling the underdetermined mixing matrix estimation. |
| format | Article |
| id | doaj-art-832d4db5894f49808bd8a2763724f853 |
| institution | Kabale University |
| issn | 1000-436X |
| language | zho |
| publishDate | 2022-11-01 |
| publisher | Editorial Department of Journal on Communications |
| record_format | Article |
| series | Tongxin xuebao |
| spelling | doaj-art-832d4db5894f49808bd8a2763724f8532025-01-14T06:29:17ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2022-11-0143354359393425Underdetermined mixing matrix estimation algorithm based on tensor analysisBaoze MAGuojun LICuiling XIANGYang XUAiming at the problems of difficult to extract effective feature information and the slow convergence speed of the underdetermined matrix estimation, an underdetermined matrix estimation algorithm of instantaneous mixtures based on tensor analysis was proposed to overcome the constraint of signal sparsity.In the proposed algorithm, the symmetric third-order tensor was constructed via the autocovariance matrix of segmentation sub-block, which was compressed into a kernel tensor to reduce the size of the data.An enhanced line search technology was applied to speed up the convergence of alternating least squares method, and the factor matrix was used as the measure of the mixing matrix estimation, but the selection of the number of segmentation sub-blocks was an open problem.Experimental results demonstrate that the proposed algorithm outperforms the sparse transformation method and the traditional high-order statistical method in handling the underdetermined mixing matrix estimation.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2022206/underdetermined matrix estimationsymmetric tensorsegmentation strategyautocovariance matrix |
| spellingShingle | Baoze MA Guojun LI Cuiling XIANG Yang XU Underdetermined mixing matrix estimation algorithm based on tensor analysis Tongxin xuebao underdetermined matrix estimation symmetric tensor segmentation strategy autocovariance matrix |
| title | Underdetermined mixing matrix estimation algorithm based on tensor analysis |
| title_full | Underdetermined mixing matrix estimation algorithm based on tensor analysis |
| title_fullStr | Underdetermined mixing matrix estimation algorithm based on tensor analysis |
| title_full_unstemmed | Underdetermined mixing matrix estimation algorithm based on tensor analysis |
| title_short | Underdetermined mixing matrix estimation algorithm based on tensor analysis |
| title_sort | underdetermined mixing matrix estimation algorithm based on tensor analysis |
| topic | underdetermined matrix estimation symmetric tensor segmentation strategy autocovariance matrix |
| url | http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2022206/ |
| work_keys_str_mv | AT baozema underdeterminedmixingmatrixestimationalgorithmbasedontensoranalysis AT guojunli underdeterminedmixingmatrixestimationalgorithmbasedontensoranalysis AT cuilingxiang underdeterminedmixingmatrixestimationalgorithmbasedontensoranalysis AT yangxu underdeterminedmixingmatrixestimationalgorithmbasedontensoranalysis |