Improved Singular Value Decomposition (TopSVD) for Source Number Estimation of Low SNR in Blind Source Separation
An improved singular value decomposition based on Toeplitz (TopSVD) is proposed to solve the problem of inaccurately estimating source numbers under the condition of a low signal-to-noise (SNR) ratio for blind source separation. First, Toeplitz modifies the covariance of the received data, and singu...
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doaj-ab845ccb9e7844638b5dae1952398c592021-03-29T20:19:25ZengIEEEIEEE Access2169-35362017-01-015264602646510.1109/ACCESS.2017.27544878047238Improved Singular Value Decomposition (TopSVD) for Source Number Estimation of Low SNR in Blind Source SeparationHongchun Sun0https://orcid.org/0000-0003-0122-1019Jingzheng Guo1Liang Fang2School of Mechanical Engineering and Automation, Northeastern University, Shenyang, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, ChinaSchool of Mechanical Engineering and Automation, Northeastern University, Shenyang, ChinaAn improved singular value decomposition based on Toeplitz (TopSVD) is proposed to solve the problem of inaccurately estimating source numbers under the condition of a low signal-to-noise (SNR) ratio for blind source separation. First, Toeplitz modifies the covariance of the received data, and singular value decomposition is used to estimate the number of signal sources. The advantages of TopSVD over traditional approaches are demonstrated by simulated signals. The results demonstrate that the proposed method can be used to estimate the number of coherent sources under low SNR conditions; at the same time, it can significantly improve the accuracy of source number estimation under the conditions of a low SNR and coherent signal source with the simple algorithm.https://ieeexplore.ieee.org/document/8047238/Blind source separationsingular value decompositiontoeplitzlow SNR |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hongchun Sun Jingzheng Guo Liang Fang |
spellingShingle |
Hongchun Sun Jingzheng Guo Liang Fang Improved Singular Value Decomposition (TopSVD) for Source Number Estimation of Low SNR in Blind Source Separation IEEE Access Blind source separation singular value decomposition toeplitz low SNR |
author_facet |
Hongchun Sun Jingzheng Guo Liang Fang |
author_sort |
Hongchun Sun |
title |
Improved Singular Value Decomposition (TopSVD) for Source Number Estimation of Low SNR in Blind Source Separation |
title_short |
Improved Singular Value Decomposition (TopSVD) for Source Number Estimation of Low SNR in Blind Source Separation |
title_full |
Improved Singular Value Decomposition (TopSVD) for Source Number Estimation of Low SNR in Blind Source Separation |
title_fullStr |
Improved Singular Value Decomposition (TopSVD) for Source Number Estimation of Low SNR in Blind Source Separation |
title_full_unstemmed |
Improved Singular Value Decomposition (TopSVD) for Source Number Estimation of Low SNR in Blind Source Separation |
title_sort |
improved singular value decomposition (topsvd) for source number estimation of low snr in blind source separation |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2017-01-01 |
description |
An improved singular value decomposition based on Toeplitz (TopSVD) is proposed to solve the problem of inaccurately estimating source numbers under the condition of a low signal-to-noise (SNR) ratio for blind source separation. First, Toeplitz modifies the covariance of the received data, and singular value decomposition is used to estimate the number of signal sources. The advantages of TopSVD over traditional approaches are demonstrated by simulated signals. The results demonstrate that the proposed method can be used to estimate the number of coherent sources under low SNR conditions; at the same time, it can significantly improve the accuracy of source number estimation under the conditions of a low SNR and coherent signal source with the simple algorithm. |
topic |
Blind source separation singular value decomposition toeplitz low SNR |
url |
https://ieeexplore.ieee.org/document/8047238/ |
work_keys_str_mv |
AT hongchunsun improvedsingularvaluedecompositiontopsvdforsourcenumberestimationoflowsnrinblindsourceseparation AT jingzhengguo improvedsingularvaluedecompositiontopsvdforsourcenumberestimationoflowsnrinblindsourceseparation AT liangfang improvedsingularvaluedecompositiontopsvdforsourcenumberestimationoflowsnrinblindsourceseparation |
_version_ |
1724194915013885952 |