In this letter, we consider the problem of joint selection of transmitters and receivers in a distributed multi-input multi-output radar network for localization. Different from previous works, we consider a more mathematically challenging but generalized situation that the transmitting signals are not perfectly orthogonal. Taking Cramér Rao lower bound as performance metric, we propose a scheme of joint selection of transmitters and receivers (JSTR) aiming at optimizing the localization performance under limited number of nodes. We propose a bi-convex relaxation to replace the resultant NP hard non-convex problem. Using the bi-convexity, the surrogate problem can be efficiently resolved by nonlinear alternating direction method of multipliers. Simulation results reveal that the proposed algorithm has very close performance compared with the computationally intensive but global optimal exhaustive search method.
Yanxi LU
Southwest University of Science and Technology (SWUST)
Shuangli LIU
Southwest University of Science and Technology (SWUST)
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Yanxi LU, Shuangli LIU, "Joint Selection of Transceiver Nodes in Distributed MIMO Radar Network with Non-Orthogonal Waveforms" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 4, pp. 692-695, April 2023, doi: 10.1587/transfun.2022EAL2053.
Abstract: In this letter, we consider the problem of joint selection of transmitters and receivers in a distributed multi-input multi-output radar network for localization. Different from previous works, we consider a more mathematically challenging but generalized situation that the transmitting signals are not perfectly orthogonal. Taking Cramér Rao lower bound as performance metric, we propose a scheme of joint selection of transmitters and receivers (JSTR) aiming at optimizing the localization performance under limited number of nodes. We propose a bi-convex relaxation to replace the resultant NP hard non-convex problem. Using the bi-convexity, the surrogate problem can be efficiently resolved by nonlinear alternating direction method of multipliers. Simulation results reveal that the proposed algorithm has very close performance compared with the computationally intensive but global optimal exhaustive search method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2022EAL2053/_p
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@ARTICLE{e106-a_4_692,
author={Yanxi LU, Shuangli LIU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Joint Selection of Transceiver Nodes in Distributed MIMO Radar Network with Non-Orthogonal Waveforms},
year={2023},
volume={E106-A},
number={4},
pages={692-695},
abstract={In this letter, we consider the problem of joint selection of transmitters and receivers in a distributed multi-input multi-output radar network for localization. Different from previous works, we consider a more mathematically challenging but generalized situation that the transmitting signals are not perfectly orthogonal. Taking Cramér Rao lower bound as performance metric, we propose a scheme of joint selection of transmitters and receivers (JSTR) aiming at optimizing the localization performance under limited number of nodes. We propose a bi-convex relaxation to replace the resultant NP hard non-convex problem. Using the bi-convexity, the surrogate problem can be efficiently resolved by nonlinear alternating direction method of multipliers. Simulation results reveal that the proposed algorithm has very close performance compared with the computationally intensive but global optimal exhaustive search method.},
keywords={},
doi={10.1587/transfun.2022EAL2053},
ISSN={1745-1337},
month={April},}
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TY - JOUR
TI - Joint Selection of Transceiver Nodes in Distributed MIMO Radar Network with Non-Orthogonal Waveforms
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 692
EP - 695
AU - Yanxi LU
AU - Shuangli LIU
PY - 2023
DO - 10.1587/transfun.2022EAL2053
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2023
AB - In this letter, we consider the problem of joint selection of transmitters and receivers in a distributed multi-input multi-output radar network for localization. Different from previous works, we consider a more mathematically challenging but generalized situation that the transmitting signals are not perfectly orthogonal. Taking Cramér Rao lower bound as performance metric, we propose a scheme of joint selection of transmitters and receivers (JSTR) aiming at optimizing the localization performance under limited number of nodes. We propose a bi-convex relaxation to replace the resultant NP hard non-convex problem. Using the bi-convexity, the surrogate problem can be efficiently resolved by nonlinear alternating direction method of multipliers. Simulation results reveal that the proposed algorithm has very close performance compared with the computationally intensive but global optimal exhaustive search method.
ER -