Joint Robust Transmit/Receive Adaptive Beamforming for MIMO Radar Using Probability-Constrained Optimization

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Joint Robust Transmit/Receive Adaptive Beamforming for MIMO Radar Using Probability-Constrained Optimization. / Zhang, Weiyu; Vorobyov, Sergiy A.

In: IEEE Signal Processing Letters, Vol. 23, No. 1, 01.2016, p. 112-116.

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@article{bf8f321e5a834f5d939fb51970142bed,
title = "Joint Robust Transmit/Receive Adaptive Beamforming for MIMO Radar Using Probability-Constrained Optimization",
abstract = "In this letter, a joint robust transmit/receive adaptive beamforming for multiple-input multiple-output (MIMO) radar based on probability-constrained optimization approach is developed in the case of Gaussian and arbitrary distributed mismatches present in both the transmit and receive signal steering vectors. A tight lower bound of the probability constraint is also derived by using duality theory. The formulated probability-constrained robust beamforming problem is nonconvex and NP-hard. However, we reformulate its cost function into a bi-quadratic function while the probability constraint splits into transmit and receive parts. Then, a block coordinate descent method based on second-order cone programming is developed to address the biconvex problem. Simulation results show an improved robustness of the proposed beamforming method as compared to the worst-case and other existing state-of-the-art joint transmit/receive robust adaptive beamforming methods for MIMO radar.",
keywords = "Duality, Gaussian and arbitrary distributed mismatches, MIMO radar, probability-constrained optimization, COLOCATED ANTENNAS, COVARIANCE-MATRIX, STEERING VECTOR, DESIGN, CONVERGENCE, MINIMIZATION, ALGORITHM, ARRAYS, ERRORS",
author = "Weiyu Zhang and Vorobyov, {Sergiy A.}",
year = "2016",
month = "1",
doi = "10.1109/LSP.2015.2504386",
language = "English",
volume = "23",
pages = "112--116",
journal = "IEEE Signal Processing Letters",
issn = "1070-9908",
number = "1",

}

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TY - JOUR

T1 - Joint Robust Transmit/Receive Adaptive Beamforming for MIMO Radar Using Probability-Constrained Optimization

AU - Zhang, Weiyu

AU - Vorobyov, Sergiy A.

PY - 2016/1

Y1 - 2016/1

N2 - In this letter, a joint robust transmit/receive adaptive beamforming for multiple-input multiple-output (MIMO) radar based on probability-constrained optimization approach is developed in the case of Gaussian and arbitrary distributed mismatches present in both the transmit and receive signal steering vectors. A tight lower bound of the probability constraint is also derived by using duality theory. The formulated probability-constrained robust beamforming problem is nonconvex and NP-hard. However, we reformulate its cost function into a bi-quadratic function while the probability constraint splits into transmit and receive parts. Then, a block coordinate descent method based on second-order cone programming is developed to address the biconvex problem. Simulation results show an improved robustness of the proposed beamforming method as compared to the worst-case and other existing state-of-the-art joint transmit/receive robust adaptive beamforming methods for MIMO radar.

AB - In this letter, a joint robust transmit/receive adaptive beamforming for multiple-input multiple-output (MIMO) radar based on probability-constrained optimization approach is developed in the case of Gaussian and arbitrary distributed mismatches present in both the transmit and receive signal steering vectors. A tight lower bound of the probability constraint is also derived by using duality theory. The formulated probability-constrained robust beamforming problem is nonconvex and NP-hard. However, we reformulate its cost function into a bi-quadratic function while the probability constraint splits into transmit and receive parts. Then, a block coordinate descent method based on second-order cone programming is developed to address the biconvex problem. Simulation results show an improved robustness of the proposed beamforming method as compared to the worst-case and other existing state-of-the-art joint transmit/receive robust adaptive beamforming methods for MIMO radar.

KW - Duality

KW - Gaussian and arbitrary distributed mismatches

KW - MIMO radar

KW - probability-constrained optimization

KW - COLOCATED ANTENNAS

KW - COVARIANCE-MATRIX

KW - STEERING VECTOR

KW - DESIGN

KW - CONVERGENCE

KW - MINIMIZATION

KW - ALGORITHM

KW - ARRAYS

KW - ERRORS

UR - http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7347387

U2 - 10.1109/LSP.2015.2504386

DO - 10.1109/LSP.2015.2504386

M3 - Article

VL - 23

SP - 112

EP - 116

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

SN - 1070-9908

IS - 1

ER -

ID: 1500784