Spectrally compatible multiple‐input multiple‐output radar waveform design based on alternating direction method of multipliers

Abstract Multiple‐input multiple‐output (MIMO) radar waveform design in a spectrally crowded environment is a challenging problem. In this study, the issue of MIMO radar waveform design in coexistence with communication systems is investigated by maximising the output signal‐to‐interference‐plus‐noi...

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Main Authors: Rui Yang, Hong Jiang, Qi Zhang, Liangdong Qu
Format: Article
Language:English
Published: Wiley 2022-09-01
Series:IET Signal Processing
Subjects:
Online Access:https://doi.org/10.1049/sil2.12094
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author Rui Yang
Hong Jiang
Qi Zhang
Liangdong Qu
author_facet Rui Yang
Hong Jiang
Qi Zhang
Liangdong Qu
author_sort Rui Yang
collection DOAJ
description Abstract Multiple‐input multiple‐output (MIMO) radar waveform design in a spectrally crowded environment is a challenging problem. In this study, the issue of MIMO radar waveform design in coexistence with communication systems is investigated by maximising the output signal‐to‐interference‐plus‐noise ratio (SINR) of the MIMO radar under transmit energy, similarity and spectral compatibility constraints. Different from the existing alternating direction method of multipliers (ADMM) proposed in a single‐antenna scenario, a novel ADMM algorithm for spectrally compatible MIMO radar waveform design is proposed to efficiently tackle the non‐convex optimisation problem in both single‐antenna and multi‐antenna scenarios. Due to the decomposability of ADMM, only a few quadratic programming subproblems need to be solved during each iteration in the authors' algorithm, which reduces the computational complexity. In numerical simulations, the proposed ADMM algorithm is compared with the semidefinite relaxation algorithm and the existing ADMM algorithm in a single‐antenna scenario and a multi‐antenna scenario, respectively. It shows that the proposed ADMM algorithm can achieve almost the same performance as the two existing algorithms; however, it is computationally more efficient.
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institution Kabale University
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publishDate 2022-09-01
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series IET Signal Processing
spelling doaj-art-b2c7dba8125545df9c73f4ffda6a8fa62025-02-03T01:29:37ZengWileyIET Signal Processing1751-96751751-96832022-09-0116773774910.1049/sil2.12094Spectrally compatible multiple‐input multiple‐output radar waveform design based on alternating direction method of multipliersRui Yang0Hong Jiang1Qi Zhang2Liangdong Qu3College of Communication Engineering Jilin University Changchun ChinaCollege of Communication Engineering Jilin University Changchun ChinaCollege of Communication Engineering Jilin University Changchun ChinaCollege of Communication Engineering Jilin University Changchun ChinaAbstract Multiple‐input multiple‐output (MIMO) radar waveform design in a spectrally crowded environment is a challenging problem. In this study, the issue of MIMO radar waveform design in coexistence with communication systems is investigated by maximising the output signal‐to‐interference‐plus‐noise ratio (SINR) of the MIMO radar under transmit energy, similarity and spectral compatibility constraints. Different from the existing alternating direction method of multipliers (ADMM) proposed in a single‐antenna scenario, a novel ADMM algorithm for spectrally compatible MIMO radar waveform design is proposed to efficiently tackle the non‐convex optimisation problem in both single‐antenna and multi‐antenna scenarios. Due to the decomposability of ADMM, only a few quadratic programming subproblems need to be solved during each iteration in the authors' algorithm, which reduces the computational complexity. In numerical simulations, the proposed ADMM algorithm is compared with the semidefinite relaxation algorithm and the existing ADMM algorithm in a single‐antenna scenario and a multi‐antenna scenario, respectively. It shows that the proposed ADMM algorithm can achieve almost the same performance as the two existing algorithms; however, it is computationally more efficient.https://doi.org/10.1049/sil2.12094MIMO radarradar signal processing
spellingShingle Rui Yang
Hong Jiang
Qi Zhang
Liangdong Qu
Spectrally compatible multiple‐input multiple‐output radar waveform design based on alternating direction method of multipliers
IET Signal Processing
MIMO radar
radar signal processing
title Spectrally compatible multiple‐input multiple‐output radar waveform design based on alternating direction method of multipliers
title_full Spectrally compatible multiple‐input multiple‐output radar waveform design based on alternating direction method of multipliers
title_fullStr Spectrally compatible multiple‐input multiple‐output radar waveform design based on alternating direction method of multipliers
title_full_unstemmed Spectrally compatible multiple‐input multiple‐output radar waveform design based on alternating direction method of multipliers
title_short Spectrally compatible multiple‐input multiple‐output radar waveform design based on alternating direction method of multipliers
title_sort spectrally compatible multiple input multiple output radar waveform design based on alternating direction method of multipliers
topic MIMO radar
radar signal processing
url https://doi.org/10.1049/sil2.12094
work_keys_str_mv AT ruiyang spectrallycompatiblemultipleinputmultipleoutputradarwaveformdesignbasedonalternatingdirectionmethodofmultipliers
AT hongjiang spectrallycompatiblemultipleinputmultipleoutputradarwaveformdesignbasedonalternatingdirectionmethodofmultipliers
AT qizhang spectrallycompatiblemultipleinputmultipleoutputradarwaveformdesignbasedonalternatingdirectionmethodofmultipliers
AT liangdongqu spectrallycompatiblemultipleinputmultipleoutputradarwaveformdesignbasedonalternatingdirectionmethodofmultipliers