An Overview on the Applications of Matrix Theory in Wireless Communications and Signal Processing
This paper overviews the key applications enabled by matrix theory in two major fields of interest in electrical engineering, namely wireless communications and signal processing. The paper focuses on the fundamental role played by matrices in modeling and optimization of wireless communication syst...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-10-01
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| Series: | Algorithms |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1999-4893/9/4/68 |
| _version_ | 1818285135054766080 |
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| author | Xu Wang Erchin Serpedin |
| author_facet | Xu Wang Erchin Serpedin |
| author_sort | Xu Wang |
| collection | DOAJ |
| description | This paper overviews the key applications enabled by matrix theory in two major fields of interest in electrical engineering, namely wireless communications and signal processing. The paper focuses on the fundamental role played by matrices in modeling and optimization of wireless communication systems, and in detection, extraction and processing of the information embedded in signals. Among the major applications in wireless communications, the role of matrix representations and decompositions in characterizing multiple-input multiple-output (MIMO) and orthogonal frequency division multiplexing (OFDM) communication systems is described. In addition, this paper points out the important contribution made by matrices in solving signal estimation and detection problems. Special attention is given to the implementation of matrices in sensor array signal processing and the design of adaptive filters. Furthermore, the crucial role played by matrices in representing and processing digital images is depicted by several illustrative applications. This paper concludes with some applications of matrix theory in the area of compressive sensing of signals and by outlining a few open research problems for future study. |
| first_indexed | 2024-12-13T01:03:53Z |
| format | Article |
| id | doaj.art-b1bf126078fd46f8b2e679f7b2f283af |
| institution | Directory Open Access Journal |
| issn | 1999-4893 |
| language | English |
| last_indexed | 2024-12-13T01:03:53Z |
| publishDate | 2016-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Algorithms |
| spelling | doaj.art-b1bf126078fd46f8b2e679f7b2f283af2022-12-22T00:04:36ZengMDPI AGAlgorithms1999-48932016-10-01946810.3390/a9040068a9040068An Overview on the Applications of Matrix Theory in Wireless Communications and Signal ProcessingXu Wang0Erchin Serpedin1Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX 77843, USADepartment of Electrical and Computer Engineering, Texas A&M University, College Station, TX 77843, USAThis paper overviews the key applications enabled by matrix theory in two major fields of interest in electrical engineering, namely wireless communications and signal processing. The paper focuses on the fundamental role played by matrices in modeling and optimization of wireless communication systems, and in detection, extraction and processing of the information embedded in signals. Among the major applications in wireless communications, the role of matrix representations and decompositions in characterizing multiple-input multiple-output (MIMO) and orthogonal frequency division multiplexing (OFDM) communication systems is described. In addition, this paper points out the important contribution made by matrices in solving signal estimation and detection problems. Special attention is given to the implementation of matrices in sensor array signal processing and the design of adaptive filters. Furthermore, the crucial role played by matrices in representing and processing digital images is depicted by several illustrative applications. This paper concludes with some applications of matrix theory in the area of compressive sensing of signals and by outlining a few open research problems for future study.http://www.mdpi.com/1999-4893/9/4/68matrixsignal processingwireless communicationsimage processingcompressive sensing |
| spellingShingle | Xu Wang Erchin Serpedin An Overview on the Applications of Matrix Theory in Wireless Communications and Signal Processing Algorithms matrix signal processing wireless communications image processing compressive sensing |
| title | An Overview on the Applications of Matrix Theory in Wireless Communications and Signal Processing |
| title_full | An Overview on the Applications of Matrix Theory in Wireless Communications and Signal Processing |
| title_fullStr | An Overview on the Applications of Matrix Theory in Wireless Communications and Signal Processing |
| title_full_unstemmed | An Overview on the Applications of Matrix Theory in Wireless Communications and Signal Processing |
| title_short | An Overview on the Applications of Matrix Theory in Wireless Communications and Signal Processing |
| title_sort | overview on the applications of matrix theory in wireless communications and signal processing |
| topic | matrix signal processing wireless communications image processing compressive sensing |
| url | http://www.mdpi.com/1999-4893/9/4/68 |
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