NDLI: Efficient local optimisation-based approach for non-convex and non-smooth source localisation problems

Content Provider	IET Digital Library
Author	Yao, Zhiqiang Huang, Jinfeng Wang, Shiguo Ruby, Rukhsana
Abstract	This study proposes a novel approach to solve the source localisation problem with noisy range measurements. Since the objective function of the range-based least square problem is non-convex and non-smooth, it is challenging to achieve an accurate estimation. Unlike previous methods that took non-convexity property of the objective function into account, this approach addresses the problem considering the non-smoothness property of the objective function. The problem is solved by a two-stage local optimisation technique which is based on a smooth non-convex approximation of the original objective function. First, the least square method is utilised to obtain a coarse estimation of the problem. Then, the estimation is refined by the trust region method which converges quadratically. Simulation results are presented to show that the proposed approach outperforms other existing methods in terms of the mean squared localisation error and convergence speed.
Starting Page	1051
Ending Page	1054
Page Count	4
ISSN	17518784
Volume Number	11
e-ISSN	17518792
Issue Number	Issue 7, Jul (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-rsn/11/7
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-rsn.2016.0433
Journal	IET Radar, Sonar & Navigation
Publisher Date	2017-02-06
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Coarse Estimation Convergence Speed Convex Programming Efficient Local Optimisation Interpolation And Function Approximation Least Square Problem Least Squares Approximation Mean Square Error Method Mean Squared Localisation Error Noisy Range Measurement Nonconvex Programming Nonsmooth Source Localisation Problem Numerical Analysis Objective Function Optimisation Technique Smooth Nonconvex Approximation Trust Region Method Wireless Sensor Network
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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