Semi-definite programming-based localization algorithm in networks with inhomogeneous transmission medium

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Abstrakt

We study the asymptotic properties of a semi-definite programming (SDP) based localization algorithm in a network of wireless sensors with an inhomogeneous RF transmission interface given incomplete and inaccurate pairwise distance measurements between sensor-sensor and sensor-anchors. 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 and a varying dielectric constant is proposed. Denoting-the true distance between a pair of sensors i and j by d¯ ij and the set of known pair-wise distances between sensors-sensors and sensors-anchors by Λ, an upper bound for the expected value of the optimal objective relaxed SDP problem is obtained, showing that its asymptotic properties can potentially grow as fast as Σ (i, j)∈ Λ2 ij(1 + (1 + μ ij) 2 + σ 2 ij).

OriginalsprogEngelsk
TitelProceedings of the 2015 Conference on research in adaptive and convergent systems
ForlagAssociation for Computing Machinery
Publikationsdato2015
Sider223-226
ISBN (Elektronisk)978-1-4503-3738-0
DOI
StatusUdgivet - 2015
BegivenhedConference on research in adaptive and convergent systems - Prague, Tjekkiet
Varighed: 9. okt. 201512. okt. 2015

Konference

KonferenceConference on research in adaptive and convergent systems
Land/OmrådeTjekkiet
ByPrague
Periode09/10/201512/10/2015

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