Reducing the number of elements in the synthesis of a broadband linear array with multiple simultaneous frequency-invariant beam patterns

Liu, Y; Cheng, J; Xu, KD; Yang, S; Liu, QH; Guo, YJ

Reducing the number of elements in the synthesis of a broadband linear array with multiple simultaneous frequency-invariant beam patterns

Liu, Y

Cheng, J Xu, KD Yang, S Liu, QH Guo, YJ

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Antennas and Propagation, 2018, 66 (11), pp. 5838 - 5848
Issue Date:: 2018-11-01

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Field	Value	Language
dc.contributor.author	Liu, Y https://orcid.org/0000-0001-5466-0184	en_US
dc.contributor.author	Cheng, J	en_US
dc.contributor.author	Xu, KD	en_US
dc.contributor.author	Yang, S	en_US
dc.contributor.author	Liu, QH	en_US
dc.contributor.author	Guo, YJ https://orcid.org/0000-0001-6008-9682	en_US
dc.date.available	2020-11-02T18:04:27Z
dc.date.issued	2018-11-01	en_US
dc.identifier.citation	IEEE Transactions on Antennas and Propagation, 2018, 66 (11), pp. 5838 - 5848	en_US
dc.identifier.issn	0018-926X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/132598
dc.description.abstract	© 2018 IEEE. The problem of reducing the number of elements in a broadband linear array with multiple simultaneous crossover frequency-invariant (FI) patterns is considered. Different from the single FI pattern array case, every element channel in the multiple FI pattern array is divided and followed by multiple finite-impulse-response (FIR) filters, and each of the multiple FIR filters has a set of coefficients. In this situation, a collective filter coefficient vector and its energy bound are introduced for each element, and then the problem of reducing the number of elements is transformed as minimizing the number of active collective filter coefficient vectors. In addition, the radiation characteristics including beam pointing direction, mainlobe FI property, sidelobe level, and space-frequency notching requirement for each of the multiple patterns can be formulated as multiple convex constraints. The whole synthesis method is implemented by performing an iterative second-order cone programming (SOCP). This method can be considered as a significant extension of the original SOCP for synthesizing broadband sparse array with single FI pattern. Numerical synthesis results show that the proposed method by synthesizing multiple discretized crossover FI patterns can save more elements than the original iterative SOCP by using a single continuously scannable FI pattern for covering the same space range. Moreover, even for multiple FI-patterns case with complicated space-frequency notching, the proposed method is still effective in the reduction of the number of elements.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP160102219
dc.relation.ispartof	IEEE Transactions on Antennas and Propagation	en_US
dc.relation.isbasedon	10.1109/TAP.2018.2862361	en_US
dc.rights	info:eu-repo/semantics/openAccess
dc.subject.classification	Networking & Telecommunications	en_US
dc.title	Reducing the number of elements in the synthesis of a broadband linear array with multiple simultaneous frequency-invariant beam patterns	en_US
dc.type	Journal Article
utslib.citation.volume	11	en_US
utslib.citation.volume	66	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	1005 Communications Technologies	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - GBDTC - Global Big Data Technologies
utslib.copyright.status	open_access	*
pubs.issue	11	en_US
pubs.publication-status	Published	en_US
pubs.volume	66	en_US

Abstract:

© 2018 IEEE. The problem of reducing the number of elements in a broadband linear array with multiple simultaneous crossover frequency-invariant (FI) patterns is considered. Different from the single FI pattern array case, every element channel in the multiple FI pattern array is divided and followed by multiple finite-impulse-response (FIR) filters, and each of the multiple FIR filters has a set of coefficients. In this situation, a collective filter coefficient vector and its energy bound are introduced for each element, and then the problem of reducing the number of elements is transformed as minimizing the number of active collective filter coefficient vectors. In addition, the radiation characteristics including beam pointing direction, mainlobe FI property, sidelobe level, and space-frequency notching requirement for each of the multiple patterns can be formulated as multiple convex constraints. The whole synthesis method is implemented by performing an iterative second-order cone programming (SOCP). This method can be considered as a significant extension of the original SOCP for synthesizing broadband sparse array with single FI pattern. Numerical synthesis results show that the proposed method by synthesizing multiple discretized crossover FI patterns can save more elements than the original iterative SOCP by using a single continuously scannable FI pattern for covering the same space range. Moreover, even for multiple FI-patterns case with complicated space-frequency notching, the proposed method is still effective in the reduction of the number of elements.

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http://hdl.handle.net/10453/132598