A Hybrid Approach to Optimal TOA-Sensor Placement With Fixed Shared Sensors for Simultaneous Multi-Target Localization

[en] This paper focuses on optimal time-of-arrival (TOA) sensor placement for multiple target localization simultaneously. In previous work, different solutions only using non-shared sensors to localize multiple targets have been developed. Those methods localize different targets one-by-one or use a large number of mobile sensors with many limitations, such as low effectiveness and high network complexity. In this paper, firstly, a novel optimization model for multi-target localization incorporating shared sensors is formulated. Secondly, the systematic theoretical results of the optimal sensor placement are derived and concluded using the A-optimality criterion, i.e., minimizing the trace of the inverse Fisher information matrix (FIM), based on rigorous geometrical derivations. The reachable optimal trace of Cramér-Rao lower bound (CRLB) is also derived. It can provide optimal conditions for many cases and even closed form solutions for some special cases. Thirdly, a novel numerical optimization algorithm to quickly find and calculate the (sub-)optimal placement and achievable lower bound is explored, when the model becomes complicated with more practical constraints. Then, a hybrid method for solving the most general situation, integrating both the analytical and numerical solutions, is proposed. Finally, the correctness and effectiveness of the proposed theoretical and mathematical methods are demonstrated by several simulation examples.

Disciplines :

Electrical & electronics engineering

Author, co-author :

Xu, Sheng; Shenzhen Institute of Advanced Technology

WU, Linlong ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SPARC

Doğançay, Kutluyıl; University of South Australia > UniSA STEM

Other collaborator :

ALAEEKERAHROODI, Mohammad ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SPARC

External co-authors :

yes

Language :

English

Title :

A Hybrid Approach to Optimal TOA-Sensor Placement With Fixed Shared Sensors for Simultaneous Multi-Target Localization

Publication date :

23 February 2022

Journal title :

IEEE Transactions on Signal Processing

ISSN :

1053-587X

Publisher :

Institute of Electrical and Electronics Engineers, United States

Peer reviewed :

Peer Reviewed verified by ORBi

European Projects :

H2020 - 742648 - AGNOSTIC - Actively Enhanced Cognition based Framework for Design of Complex Systems

FnR Project :

FNR12734677 - Signal Processing For Next Generation Radar, 2018 (01/09/2019-31/08/2022) - Bjorn Ottersten

Funders :

CE - Commission Européenne [BE]

Available on ORBilu :

since 11 January 2023

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