NDLI: Optimal and fast sensor geometry design method for TDOA localisation systems with placement constraints

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Optimal and fast sensor geometry design method for TDOA localisation systems with placement constraints

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IET Wireless Sensor Systems

Micro & Nano Letters

The Journal of Engineering

Optimal and fast sensor geometry design method for TDOA localisation systems with placement constraints

Content Provider	IET Digital Library
Author	Zhang, Tie Nan Mao, Xing Peng Zhao, Chun Lei Long, Xiao Zhuan
Abstract	The sensor geometry design problem of time difference of arrival (TDOA) localisation systems based on Cramer–Rao bound is studied. Sensor placement constraints are considered, which means the available placement area is limited. This makes sensor geometry design a sensor selection problem. In two-dimensional (2D) TDOA localisation or 3D TDOA localisation on the earth surface, sensor selection can be implemented through solving a fractional integer programming problem. However, traditional fractional integer programming methods are either suboptimal or too time consuming. For this reason, a new method named path-varying sphere decoding is proposed in two steps. In step one, the programming problem is relaxed into two sphere decoding (SD) subproblems. Solving these subproblems leads to the optimal solution, and the required computational complexity is much less than those of traditional optimal methods. In step two, the structure of the cost function is explored. This makes it possible to calculate the path-varying upper-bound of a quadratic function. Thus the quadratic function constraint used in one SD subproblem becomes tighter and the calculation speed is enhanced. Theory analyses and simulation results show that the proposed method is not only optimal but also much faster than traditional optimal methods when solving large-scale programming problems.
Starting Page	708
Ending Page	717
Page Count	10
ISSN	17519675
Volume Number	13
e-ISSN	17519683
Issue Number	Issue 8, Oct (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-spr/13/8
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-spr.2018.5171
Journal	IET Signal Processing
Publisher Date	2019-06-24
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	3D TDOA Localisation Arrival Localisation System Code Computational Complexity Cramer–Rao Decoding Earth Surface Estimation Theory Fractional Integer Programming Problem Large-scale Programming Problem Optimisation Optimisation Technique Path-varying Sphere Decoding Quadratic Function Constraint SD Subproblem Sensor Geometry Design Problem Sensor Placement Sensor Placement Constraint Sensor Selection Problem Signal Processing And Detection Signal Processing Theory Statistics TDOA Localisation System Time Difference of Arrival Localisation System Time-of-arrival Estimation Two-dimensional TDOA Localisation Two-sphere Decoding Subproblems
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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