A two-stage optimization approach to the asynchronous multi-sensor registration problem

Wenqiang Pu, Ya Feng Liu, Junkun Yan, Shenghua Zhou, Hongwei Liu, Zhi Quan Luo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Scopus citations

Abstract

An important step in multi-sensor data fusion is sensor registration, namely, to estimate sensors' range and azimuth biases from their asynchronous measurements. Assuming the target moves in a straight line with an unknown constant velocity, we propose a two-stage nonlinear least square (LS) approach to this problem. More specifically, in stage I, each sensor first estimates its own range bias individually, and then in stage II, all sensors jointly estimate their azimuth biases. We show that both of the nonconvex LS problems can be solved to global optimality under mild conditions. Simulation results show that the root mean square error (RMSE) of the proposed approach is quite close to the Cramér-Rao lower bound (CRLB) when the level of the measurement noise is small.

Original languageEnglish (US)
Title of host publication2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages3271-3275
Number of pages5
ISBN (Electronic)9781509041176
DOIs
StatePublished - Jun 16 2017
Event2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017 - New Orleans, United States
Duration: Mar 5 2017Mar 9 2017

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)1520-6149

Other

Other2017 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2017
Country/TerritoryUnited States
CityNew Orleans
Period3/5/173/9/17

Bibliographical note

Funding Information:
This work is partially supported by NSF Grant CCF-1526434, NSFC Grants 61571384, 11631013, and 61601340, the China National Funds for Disti nguished Young Scientists Grant 61525105, and the China Postdoctoral Science Foundation Grant 2016T90890.

Publisher Copyright:
© 2017 IEEE.

Keywords

  • Asynchronous multi-sensor registration problem
  • nonconvex nonlinear LS
  • tightness of semidefinite program (SDP) relaxation

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