A Supplement to Multidimensional Scaling Framework for Mobile Location: A Unified View

Author

Chen, Zhang-Xin ; Wei, He-Wen ; Wan, Qun ; Ye, Shang-Fu ; Yang, Wan-Lin

Author_Institution

Dept. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu

Volume

57

Issue

5

fYear

2009

fDate

5/1/2009 12:00:00 AM

Firstpage

2030

Lastpage

2034

Abstract

Recently, while the classical multidimensional scaling (MDS) algorithm had been claimed to be infeasible, MDS based algorithms, including modified MDS and subspace approach, have been applied to the range measurements based mobile localization. In this correspondence, we first prove that the classical MDS algorithm is feasible for the mobile localization. Then we show that all MDS-based algorithms can be unified under the same framework and they are not optimal according to the Gaussian-Markov theorem. Based on the unified framework, the weighted MDS analysis is applied to obtain the optimum performance. The performances of both the MDS algorithms and their corresponding weighted MDS-based algorithms in the unified framework are demonstrated through simulations.

Keywords

mobile radio; Gaussian-Markov theorem; mobile location; multidimensional scaling framework; weighted MDS analysis; Mobile localization; multidimensional scaling (MDS); time-of-arrival;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/TSP.2009.2013905

Filename

4760257