Sparse Planar Array Synthesis Using Matrix Enhancement and Matrix Pencil
The matrix enhancement and matrix pencil (MEMP) plays important roles in modern signal processing applications. In this paper, MEMP is applied to attack the problem of two-dimensional sparse array synthesis. Firstly, the desired array radiation pattern, as the original pattern for approximating, is...
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| Vydáno v: | International journal of antennas and propagation Ročník 2013; číslo 2013; s. 1 - 7 |
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| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
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Cairo, Egypt
Hindawi Puplishing Corporation
01.01.2013
Hindawi Publishing Corporation Wiley |
| ISSN: | 1687-5869, 1687-5877 |
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| Abstract | The matrix enhancement and matrix pencil (MEMP) plays important roles in modern signal processing applications. In this paper, MEMP is applied to attack the problem of two-dimensional sparse array synthesis. Firstly, the desired array radiation pattern, as the original pattern for approximating, is sampled to form an enhanced matrix. After performing the singular value decomposition (SVD) and discarding the insignificant singular values according to the prior approximate error, the minimum number of elements can be obtained. Secondly, in order to obtain the eigenvalues, the generalized eigen-decomposition is employed on the approximate matrix, which is the optimal low-rank approximation of the enhanced matrix corresponding to sparse planar array, and then the ESPRIT algorithm is utilized to pair the eigenvalues related to each dimension of the planar array. Finally, element positions and excitations of the sparse planar array are calculated according to the correct pairing of eigenvalues. Simulation results are presented to illustrate the effectiveness of the proposed approach. |
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| AbstractList | The matrix enhancement and matrix pencil (MEMP) plays important roles in modern signal processing applications. In this paper, MEMP is applied to attack the problem of two-dimensional sparse array synthesis. Firstly, the desired array radiation pattern, as the original pattern for approximating, is sampled to form an enhanced matrix. After performing the singular value decomposition (SVD) and discarding the insignificant singular values according to the prior approximate error, the minimum number of elements can be obtained. Secondly, in order to obtain the eigenvalues, the generalized eigen-decomposition is employed on the approximate matrix, which is the optimal low-rank approximation of the enhanced matrix corresponding to sparse planar array, and then the ESPRIT algorithm is utilized to pair the eigenvalues related to each dimension of the planar array. Finally, element positions and excitations of the sparse planar array are calculated according to the correct pairing of eigenvalues. Simulation results are presented to illustrate the effectiveness of the proposed approach. |
| Author | Chen, Ke-song Zheng, Mei-yan Liu, Xian-pan Wu, Hong-gang |
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| Cites_doi | 10.1109/29.56027 10.1109/TAP.2008.928801 10.1109/78.157226 10.1109/PROC.1971.8523 10.1109/TAP.2007.893375 10.1109/TAP.2003.816361 10.1109/78.890367 10.1109/8.768787 10.1109/TAP.2004.841324 10.1029/RS018i001p00057 10.1109/74.370583 10.1109/TMTT.2011.2160728 10.1109/TAP.2009.2039323 |
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| Contributor | Chen, Ke-song Zheng, Mei-yan Liu, Xian-pan Wu, Hong-gang |
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| Copyright | Copyright © 2013 Mei-yan Zheng et al. |
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| References_xml | – volume: 37 start-page: 48 issue: 1 year: 1995 end-page: 55 ident: 6 article-title: Using the matrix pencil method to estimate the parameters of a sum of complex exponentials – volume: 59 start-page: 1664 issue: 12 year: 1971 end-page: 1674 ident: 12 article-title: Optimization techniques for antenna arrays – volume: 47 start-page: 511 issue: 3 year: 1999 end-page: 523 ident: 3 article-title: Design of unequally spaced arrays for performance improvement – reference: Wang J. Zhou J. J. Modified MEMP method for 2D scattering center measurement based on GTD model Proceedings of the International Conference on Microwave and Millimeter Wave Technology (ICMMT '08) April 2008 987 990 2-s2.0-51149087076 10.1109/ICMMT.2008.4540575 – volume: 18 start-page: 57 issue: 1 year: 1983 end-page: 69 ident: 13 article-title: A pole-zero modeling approach to linear array synthesis I. The unconstrained solution – volume: 49 start-page: 237 issue: 1 year: 2001 end-page: 245 ident: 14 article-title: Estimation of frequencies and damping factors by two-dimensional ESPRIT type methods – volume: 38 start-page: 814 issue: 5 year: 1990 end-page: 824 ident: 7 article-title: Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise – reference: Jian C. Wang S. Lin L. 2-D DOA estimation by MEMP based on L-shape array 1 Proceedings of the 8th International Conference on Signal Processing (ICSP '06) 16 20 2-s2.0-34249283795 10.1109/ICOSP.2006.344534 – volume: 40 start-page: 2267 issue: 9 year: 1992 end-page: 2280 ident: 8 article-title: Estimating two-dimensional frequencies by matrix enhancement and matrix pencil – reference: Yang K. Zhao Z. Liu Y. Synthesis of sparse planar arrays with matrix pencil method Proceedings of the International Conference on Computational Problem-Solving (ICCP '11) 2011 82 85 – volume: 53 start-page: 621 issue: 2 year: 2005 end-page: 634 ident: 4 article-title: Generalized analytical technique for the synthesis of unequally spaced arrays with linear, planar, cylindrical or spherical geometry – volume: 58 start-page: 747 issue: 3 year: 2010 end-page: 755 ident: 16 article-title: Decoupled 2D direction of arrival estimation using compact uniform circular arrays in the presence of elevation-dependent mutual coupling – volume: 51 start-page: 2210 issue: 9 year: 2003 end-page: 2217 ident: 2 article-title: Synthesis of uniform amplitude unequally spaced antenna arrays using the differential evolution algorithm – volume: 56 start-page: 2955 issue: 9 year: 2008 end-page: 2962 ident: 11 article-title: Reducing the number of elements in a linear antenna array by the matrix pencil method – volume: 55 start-page: 1067 issue: 4 year: 2007 end-page: 1073 ident: 1 article-title: Synthesis of sparse planar arrays using modified real genetic algorithm – volume: 59 start-page: 2241 issue: 9 year: 2011 end-page: 2245 ident: 15 article-title: Design of a mutual coupling compensation network for a small receiving monopole array – ident: 7 doi: 10.1109/29.56027 – ident: 11 doi: 10.1109/TAP.2008.928801 – ident: 8 doi: 10.1109/78.157226 – volume: 59 start-page: 1664 issue: 12 year: 1971 ident: 12 publication-title: Proceedings of the IEEE doi: 10.1109/PROC.1971.8523 – ident: 1 doi: 10.1109/TAP.2007.893375 – ident: 2 doi: 10.1109/TAP.2003.816361 – ident: 14 doi: 10.1109/78.890367 – ident: 3 doi: 10.1109/8.768787 – ident: 4 doi: 10.1109/TAP.2004.841324 – volume: 18 start-page: 57 issue: 1 year: 1983 ident: 13 publication-title: Radio Science doi: 10.1029/RS018i001p00057 – ident: 6 doi: 10.1109/74.370583 – volume: 59 start-page: 2241 issue: 9 year: 2011 ident: 15 publication-title: IEEE Transactions on Microwave theory and Techniques doi: 10.1109/TMTT.2011.2160728 – ident: 16 doi: 10.1109/TAP.2009.2039323 |
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| Title | Sparse Planar Array Synthesis Using Matrix Enhancement and Matrix Pencil |
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