## Abstract

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)∈ Λ} d¯
^{2}
_{ij}(1 + (1 + μ
_{ij})
^{2} + σ
^{2}
_{ij}).

Originalsprog | Engelsk |
---|---|

Titel | Proceedings of the 2015 Conference on research in adaptive and convergent systems |

Forlag | Association for Computing Machinery |

Publikationsdato | 2015 |

Sider | 223-226 |

ISBN (Elektronisk) | 978-1-4503-3738-0 |

DOI | |

Status | Udgivet - 2015 |

Begivenhed | Conference on research in adaptive and convergent systems - Prague, Tjekkiet Varighed: 9. okt. 2015 → 12. okt. 2015 |

### Konference

Konference | Conference on research in adaptive and convergent systems |
---|---|

Land/Område | Tjekkiet |

By | Prague |

Periode | 09/10/2015 → 12/10/2015 |