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Sensor Network Localization via Nondifferentiable Optimization

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4 Author(s)
Qingjiang Shi ; Dept. of Electron. Eng., Shanghai Jiao Tong Univ., Shanghai ; Chen He ; Lingge Jiang ; Jun Luo

Knowing the positions of nodes is essential to many wireless sensor network applications. In contrast to range-based localization methods, range-free methods are more appealing since they do not need additional expensive hardware for ranging. A range-free localization problem is a generalization of unit disk graph coordinates realization problem and in essence a feasibility problem with quadratic inequalities, which is NP- hard. In this paper, we formulate the range-free localization problem as a nondifferentiable optimization problem solved by a polynomial-time algorithm, normalized incremental subgradient (NIS) algorithm. Extensive simulations have been conducted. The simulation results show that the NIS-based localization algorithm significantly outperforms the MDS-MAP method and the SDP method, whether the network is regular or not.

Published in:

Global Telecommunications Conference, 2008. IEEE GLOBECOM 2008. IEEE

Date of Conference:

Nov. 30 2008-Dec. 4 2008