Optimal Design of Group Orthogonal Phase-Coded Waveforms for MIMO Radar

Digital radio frequency memory (DRFM) has emerged as an advanced technique to achieve a range of jamming signals, due to its capability to intercept waveforms within a short time. multiple-input multiple-output (MIMO) radars can transmit agile orthogonal waveform sets for different pulses to combat...

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Main Authors: Tianqu Liu, Jinping Sun, Guohua Wang, Xianxun Yao, Yaqiong Qiao
Format: Article
Language:English
Published: MDPI AG 2024-03-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/6/903
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author Tianqu Liu
Jinping Sun
Guohua Wang
Xianxun Yao
Yaqiong Qiao
author_facet Tianqu Liu
Jinping Sun
Guohua Wang
Xianxun Yao
Yaqiong Qiao
author_sort Tianqu Liu
collection DOAJ
description Digital radio frequency memory (DRFM) has emerged as an advanced technique to achieve a range of jamming signals, due to its capability to intercept waveforms within a short time. multiple-input multiple-output (MIMO) radars can transmit agile orthogonal waveform sets for different pulses to combat DRFM-based jamming, where any two groups of waveform sets are also orthogonal. In this article, a group orthogonal waveform optimal design model is formulated in order to combat DRFM-based jamming by flexibly designing waveforms for MIMO radars. Aiming at balancing the intra- and intergroup orthogonal performances, the objective function is defined as the weighted sum of the intra- and intergroup orthogonal performance metrics. To solve the formulated model, in this article, a group orthogonal waveform design algorithm is proposed. Based on a primal-dual-type method and proper relaxations, the proposed algorithm transforms the original problem into a series of simple subproblems. Numerical results demonstrate that the obtained group orthogonal waveforms have the ability to flexibly suppress DRFM-based deceptive jamming, which is not achievable using <i>p</i>-majorization–minimization (<i>p</i>-MM) and primal-dual, two of the most advanced orthogonal waveform design algorithms.
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spelling doaj.art-dcc6a0ce71ad414bba54b66c64d32e7a2024-03-27T13:53:16ZengMDPI AGMathematics2227-73902024-03-0112690310.3390/math12060903Optimal Design of Group Orthogonal Phase-Coded Waveforms for MIMO RadarTianqu Liu0Jinping Sun1Guohua Wang2Xianxun Yao3Yaqiong Qiao4School of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaHertzwell Pte Ltd., Singapore 138565, SingaporeSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaDigital radio frequency memory (DRFM) has emerged as an advanced technique to achieve a range of jamming signals, due to its capability to intercept waveforms within a short time. multiple-input multiple-output (MIMO) radars can transmit agile orthogonal waveform sets for different pulses to combat DRFM-based jamming, where any two groups of waveform sets are also orthogonal. In this article, a group orthogonal waveform optimal design model is formulated in order to combat DRFM-based jamming by flexibly designing waveforms for MIMO radars. Aiming at balancing the intra- and intergroup orthogonal performances, the objective function is defined as the weighted sum of the intra- and intergroup orthogonal performance metrics. To solve the formulated model, in this article, a group orthogonal waveform design algorithm is proposed. Based on a primal-dual-type method and proper relaxations, the proposed algorithm transforms the original problem into a series of simple subproblems. Numerical results demonstrate that the obtained group orthogonal waveforms have the ability to flexibly suppress DRFM-based deceptive jamming, which is not achievable using <i>p</i>-majorization–minimization (<i>p</i>-MM) and primal-dual, two of the most advanced orthogonal waveform design algorithms.https://www.mdpi.com/2227-7390/12/6/903waveform designoptimizationMIMO radargroup orthogonalphase-codedradar countermeasures
spellingShingle Tianqu Liu
Jinping Sun
Guohua Wang
Xianxun Yao
Yaqiong Qiao
Optimal Design of Group Orthogonal Phase-Coded Waveforms for MIMO Radar
Mathematics
waveform design
optimization
MIMO radar
group orthogonal
phase-coded
radar countermeasures
title Optimal Design of Group Orthogonal Phase-Coded Waveforms for MIMO Radar
title_full Optimal Design of Group Orthogonal Phase-Coded Waveforms for MIMO Radar
title_fullStr Optimal Design of Group Orthogonal Phase-Coded Waveforms for MIMO Radar
title_full_unstemmed Optimal Design of Group Orthogonal Phase-Coded Waveforms for MIMO Radar
title_short Optimal Design of Group Orthogonal Phase-Coded Waveforms for MIMO Radar
title_sort optimal design of group orthogonal phase coded waveforms for mimo radar
topic waveform design
optimization
MIMO radar
group orthogonal
phase-coded
radar countermeasures
url https://www.mdpi.com/2227-7390/12/6/903
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AT guohuawang optimaldesignofgrouporthogonalphasecodedwaveformsformimoradar
AT xianxunyao optimaldesignofgrouporthogonalphasecodedwaveformsformimoradar
AT yaqiongqiao optimaldesignofgrouporthogonalphasecodedwaveformsformimoradar