Scalable Alternating Projection and Proximal Splitting for Array Pattern Synthesis
Array synthesis with embedded element patterns is a problem of great practical importance. In this paper, an array pattern synthesis method using scalable alternating projection and proximal splitting is proposed which considers the scaling invariance property of design specifications and constraint...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2015/915293 |
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| _version_ | 1832559104736886784 |
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| author | Yubing Han Chuan Wan |
| author_facet | Yubing Han Chuan Wan |
| author_sort | Yubing Han |
| collection | DOAJ |
| description | Array synthesis with embedded element patterns is a problem of great practical importance. In this
paper, an array pattern synthesis method using scalable alternating projection and proximal splitting is
proposed which considers the scaling invariance property of design specifications and constraints for
the amplitudes of pattern and excitation. Under the framework of alternating projection, the scalable
pattern and excitation constraint sets are first defined. Then the scalable pattern projection and iterative
procedure for optimum pattern scaling factor are studied in detail. For the scalable excitation projection,
it is designed as the solution to a constrained weighted least mean squares optimization, which can be
solved by an effective forward-backward splitting iterative process. Finally, the selection of the weighted
matrix and computational complexity are discussed briefly. Several typical linear and planar synthesis
examples with or without the embedded element patterns are provided to demonstrate the effectiveness
and power of the proposed method. |
| format | Article |
| id | doaj-art-e03939d1eb9b4d2a935d2057636db451 |
| institution | Kabale University |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-e03939d1eb9b4d2a935d2057636db4512025-02-03T01:30:57ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772015-01-01201510.1155/2015/915293915293Scalable Alternating Projection and Proximal Splitting for Array Pattern SynthesisYubing Han0Chuan Wan1School of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, ChinaSchool of Electronic and Optical Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, ChinaArray synthesis with embedded element patterns is a problem of great practical importance. In this paper, an array pattern synthesis method using scalable alternating projection and proximal splitting is proposed which considers the scaling invariance property of design specifications and constraints for the amplitudes of pattern and excitation. Under the framework of alternating projection, the scalable pattern and excitation constraint sets are first defined. Then the scalable pattern projection and iterative procedure for optimum pattern scaling factor are studied in detail. For the scalable excitation projection, it is designed as the solution to a constrained weighted least mean squares optimization, which can be solved by an effective forward-backward splitting iterative process. Finally, the selection of the weighted matrix and computational complexity are discussed briefly. Several typical linear and planar synthesis examples with or without the embedded element patterns are provided to demonstrate the effectiveness and power of the proposed method.http://dx.doi.org/10.1155/2015/915293 |
| spellingShingle | Yubing Han Chuan Wan Scalable Alternating Projection and Proximal Splitting for Array Pattern Synthesis International Journal of Antennas and Propagation |
| title | Scalable Alternating Projection and Proximal Splitting for Array Pattern Synthesis |
| title_full | Scalable Alternating Projection and Proximal Splitting for Array Pattern Synthesis |
| title_fullStr | Scalable Alternating Projection and Proximal Splitting for Array Pattern Synthesis |
| title_full_unstemmed | Scalable Alternating Projection and Proximal Splitting for Array Pattern Synthesis |
| title_short | Scalable Alternating Projection and Proximal Splitting for Array Pattern Synthesis |
| title_sort | scalable alternating projection and proximal splitting for array pattern synthesis |
| url | http://dx.doi.org/10.1155/2015/915293 |
| work_keys_str_mv | AT yubinghan scalablealternatingprojectionandproximalsplittingforarraypatternsynthesis AT chuanwan scalablealternatingprojectionandproximalsplittingforarraypatternsynthesis |