Non-coherent localization with geometric topology of wireless sensor network under target and anchor node perturbations

Abstract

This paper investigates non coherent localization of an unknown target node in presence of a symmetrically opposite mirror node while the transmitter anchor node is perturbed under duress from external factors in a wireless sensor network. By limiting the transmitter anchor node translocation to a straight line, the resulting anchor-target geometry is exploited to mitigate the effects of mirror node and the perturbations of the transmitter node. Signal model for unperturbed and perturbed scenario is described. Fisher information vector expression is derived with respect to the polygonal geometry. Multistatic technique is utilized to extract fisher information from every possible link between the transmitter, receiver and unknown target node. The loss of location information due to undesirable aspect of the polygonal geometry is derived, following which a suitable expression is obtained to mitigate these effects. Solutions to algebraic functions involving perturbed anchor and symmetric geometry are developed. Geometric dilution of precision in terms of internodal angles is established. Numerical results corroborate theoretical analysis to achieve localization error comparable to sensor networks devoid of such perturbations.