Abstract
Location localization technology is used in a number of industrial and civil applications. Real time location localization accuracy is highly dependent on the quality of the distance measurements and efficiency of solving the localization equations. In this paper, we provide a novel approach to solve the nonlinear localization equations efficiently and simultaneously eliminate the bad measurement data in range-based systems. A geometric intersection model was developed to narrow the target search area, where Newton’s Method and the Direct Search Method are used to search for the unknown position. Not only does the geometric intersection model offer a small bounded search domain for Newton’s Method and the Direct Search Method, but also it can self-correct bad measurement data. The Direct Search Method is useful for the coarse localization or small target search domain, while the Newton’s Method can be used for accurate localization. For accurate localization, by utilizing the proposed Modified Newton’s Method (MNM), challenges of avoiding the local extrema, singularities, and initial value choice are addressed. The applicability and robustness of the developed method has been demonstrated by experiments with an indoor system.
Highlights
The accurate localization of the objects is of importance in the information and artificial intelligence age [1,2]
A number of technologies have been introduced for improving localization accuracy in the absence of the Global Positioning System (GPS), such as WLAN [11,12], Bluetooth [13,14], ZigBee [15,16], Ultrasound [17], GSM/CDMA [18,19], Acoustic Position System (APS) [20], and Ultra-Wide Band (UWB) technology [21,22,23,24]
A numerical example has been designed to demonstrate the applicability of the proposed approach
Summary
The accurate localization of the objects is of importance in the information and artificial intelligence age [1,2]. Location localization technology is widely used in industrial and civil applications and has become a mainstay of geoscientific investigations [3,4,5,6,7,8]. These applications range from logistics to robot navigation, from security tracking to automotive safety, from medical services to house control and many other emerging wireless sensor network applications. Range-based systems are considered to be more accurate [25]
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