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A Truncated Singular Value Decomposition Enhanced Nested Complex Source Beam Method
Joint Authors
Source
International Journal of Antennas and Propagation
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-08-01
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This work presents a novel matrix compression algorithm to improve the computational efficiency of the nested complex source beam (NCSB) method.
The algorithm is based on the application of the truncated singular value decomposition (TSVD) to the multilevel aggregation, translation, and disaggregation operations in NCSB.
In our implementation, the aggregation/disaggregation matrices are solved by the truncated far-field matching, which is based on the directional far-field radiation property of the complex source beams (CSBs).
Furthermore, the translation matrices are obtained according to the beam width of CSBs.
Due to the high directivity of the radiation patterns of CSBs, all the far-field related interaction matrices are low-ranked.
Therefore, TSVD can be employed and a new set of equivalent sources can be constructed by a linear combination of the original CSBs.
It is proved that the radiation power of the new sources is proportional to the square of the corresponding singular values.
This provides a theoretical guideline to drop the insignificant singular vectors in the calculation.
In doing so, the efficiency of the original NCSB method can be much improved while a reasonably good accuracy is maintained.
Several numerical tests are conducted to validate the proposed method.
American Psychological Association (APA)
Song, Lianning& Nie, Zaiping. 2017. A Truncated Singular Value Decomposition Enhanced Nested Complex Source Beam Method. International Journal of Antennas and Propagation،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1159377
Modern Language Association (MLA)
Song, Lianning& Nie, Zaiping. A Truncated Singular Value Decomposition Enhanced Nested Complex Source Beam Method. International Journal of Antennas and Propagation No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1159377
American Medical Association (AMA)
Song, Lianning& Nie, Zaiping. A Truncated Singular Value Decomposition Enhanced Nested Complex Source Beam Method. International Journal of Antennas and Propagation. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1159377
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1159377