MIMO Radar Transmit Waveform Design for Beampattern Matching via Complex Circle Optimization

In this paper, we study the multiple-input multiple-output (MIMO) radar transmit waveform design method for beampattern matching. The purpose is to design the beampattern to approximate the actual one and minimize the cross-correlation sidelobes under the constant modulus constraint (CMC). Due to th...

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Main Authors: Weijie Xiong, Jinfeng Hu, Kai Zhong, Yibao Sun, Xiangqing Xiao, Gangyong Zhu
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/15/3/633
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author Weijie Xiong
Jinfeng Hu
Kai Zhong
Yibao Sun
Xiangqing Xiao
Gangyong Zhu
author_facet Weijie Xiong
Jinfeng Hu
Kai Zhong
Yibao Sun
Xiangqing Xiao
Gangyong Zhu
author_sort Weijie Xiong
collection DOAJ
description In this paper, we study the multiple-input multiple-output (MIMO) radar transmit waveform design method for beampattern matching. The purpose is to design the beampattern to approximate the actual one and minimize the cross-correlation sidelobes under the constant modulus constraint (CMC). Due to the CMC, the problem is non-convex, and the existing methods solve it with relaxation, resulting in performance degradation. Different from these methods, we notice that the CMC is the product of complex circles (CC). Based on this physical characteristic, the direct beampattern matching without relaxation (DBMWR) method is proposed. To be specific, we first formulate the original problem as an unconstrained quartic problem over the CC and then solve it by the proposed method without relaxation. Simulation results show that the proposed method can achieve a balance in terms of accuracy and computation complexity compared with other methods.
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spelling doaj.art-6d23e99b81d845c3a4457ae0850e0abb2023-11-16T17:52:02ZengMDPI AGRemote Sensing2072-42922023-01-0115363310.3390/rs15030633MIMO Radar Transmit Waveform Design for Beampattern Matching via Complex Circle OptimizationWeijie Xiong0Jinfeng Hu1Kai Zhong2Yibao Sun3Xiangqing Xiao4Gangyong Zhu5Yangtze Delta Region Institute, University of Electronic Science and Technology of China, Quzhou 324003, ChinaYangtze Delta Region Institute, University of Electronic Science and Technology of China, Quzhou 324003, ChinaYangtze Delta Region Institute, University of Electronic Science and Technology of China, Quzhou 324003, ChinaSchool of Electronic Engineering and Computer Science, Queen Mary University of London, Mile End Road, London E1 4NS, UKYangtze Delta Region Institute, University of Electronic Science and Technology of China, Quzhou 324003, ChinaYangtze Delta Region Institute, University of Electronic Science and Technology of China, Quzhou 324003, ChinaIn this paper, we study the multiple-input multiple-output (MIMO) radar transmit waveform design method for beampattern matching. The purpose is to design the beampattern to approximate the actual one and minimize the cross-correlation sidelobes under the constant modulus constraint (CMC). Due to the CMC, the problem is non-convex, and the existing methods solve it with relaxation, resulting in performance degradation. Different from these methods, we notice that the CMC is the product of complex circles (CC). Based on this physical characteristic, the direct beampattern matching without relaxation (DBMWR) method is proposed. To be specific, we first formulate the original problem as an unconstrained quartic problem over the CC and then solve it by the proposed method without relaxation. Simulation results show that the proposed method can achieve a balance in terms of accuracy and computation complexity compared with other methods.https://www.mdpi.com/2072-4292/15/3/633waveform designbeampattern matchingMIMO radarconstant modulus constraintcomplex circleDBMWR method
spellingShingle Weijie Xiong
Jinfeng Hu
Kai Zhong
Yibao Sun
Xiangqing Xiao
Gangyong Zhu
MIMO Radar Transmit Waveform Design for Beampattern Matching via Complex Circle Optimization
Remote Sensing
waveform design
beampattern matching
MIMO radar
constant modulus constraint
complex circle
DBMWR method
title MIMO Radar Transmit Waveform Design for Beampattern Matching via Complex Circle Optimization
title_full MIMO Radar Transmit Waveform Design for Beampattern Matching via Complex Circle Optimization
title_fullStr MIMO Radar Transmit Waveform Design for Beampattern Matching via Complex Circle Optimization
title_full_unstemmed MIMO Radar Transmit Waveform Design for Beampattern Matching via Complex Circle Optimization
title_short MIMO Radar Transmit Waveform Design for Beampattern Matching via Complex Circle Optimization
title_sort mimo radar transmit waveform design for beampattern matching via complex circle optimization
topic waveform design
beampattern matching
MIMO radar
constant modulus constraint
complex circle
DBMWR method
url https://www.mdpi.com/2072-4292/15/3/633
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AT kaizhong mimoradartransmitwaveformdesignforbeampatternmatchingviacomplexcircleoptimization
AT yibaosun mimoradartransmitwaveformdesignforbeampatternmatchingviacomplexcircleoptimization
AT xiangqingxiao mimoradartransmitwaveformdesignforbeampatternmatchingviacomplexcircleoptimization
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