Radiolocation in CDMA Cellular System Based on Joint Angle and Delay Estimation
Wireless Personal Communications: An International Journal
Semidefinite programming approach for range-difference based source localization
IEEE Transactions on Signal Processing
Relative location estimation in wireless sensor networks
IEEE Transactions on Signal Processing
Bayesian-based localization in inhomogeneous transmission media
Proceedings of the 2013 Research in Adaptive and Convergent Systems
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In this paper, we study the asymptotic properties of a semidefinite programming (SDP) based localization algorithm in a network with inhomogeneous RF transmission medium given incomplete and inaccurate pairwise distance measurements between sensors-sensors and sensors-anchors. We proposed a novel relaxed SDP approach based on a graph realization problem with noisy time-of-arrival (TOA) measurements with additive Gaussian noise and inaccurate transmission permittivity and permeability coefficients both with additive standard Gaussian noise (varying dielectric constant). Modeling the inhomogeneous RF transmission medium as a series of homogeneous transmission mediums between any two given points and given the true distances between a pair of sensors and the set of known pair-wise distances between sensors-sensors and sensors-anchors, an upper bound for the expected value of the optimal objective relaxed SDP problem is obtained, showing that its asymptotic properties potentially grows as fast as the summation of true distances between the pair of sensors-sensors and sensor-anchors and the TOA noisy measurements mean and standard deviation.