时差定位最优布站方法研究

doi:10.3969/j.issn.1001-2400.2016.04.022

Abstract

Abstract:

In the TDOA system, the method for improving the source location accuracy by sensor arrangement is proposed. The trace of the CRLB of a source estimate is the criterion. By analyzing the factors of the CRLB, it is found that the CRLB does not depend on the range between sensor and source, but on the direction from sensor to source. The expression for the trace of the CRLB is derived. Then its minimum value and the condition for achieving the minimum value are obtained. It is shown that the uniform angular array is the optimum sensor array when the source is surrounded by sensors.

Key words: passive localization, time differences of arrival, sensor placement, Cramer-Rao lower bound

ZHOU Cheng;HUANG Gaoming;GAO Jun. Optimum sensor array for passive localization from time differences of arrival[J].Journal of Xidian University, 2016, 43(4): 123-127.

References

［1］ HUANG B Q, XIE L H, YANG Z. TDOA-based Source Localization with Distance-Dependent Noises ［J］. IEEE Transactions on Wireless Communications, 2015, 14(1): 468-480.
［2］ EI-GEMAYEL N, JAKEL H, JONDRAL F K. Error Analysis of a Low Cost TDoA Sensor Network ［C］//2014 IEEE on Position, Location and Navigation Symposium. Piscataway: IEEE, 2014: 1040-1045.
［3］ CHAKRABORTY J, OTTOY G, GELAUDE M, et al. Acoustic Localization of Unknown Sources with Wireless Sensor Nodes ［C］//2014 17th International Conference on Computer and Information Technology. Piscataway: IEEE, 2014: 488-493.
［4］朱国辉, 冯大政, 周延. 一种多参考接收站下的时差定位算法［J］. 西安电子科技大学学报, 2014, 41(4): 31-35.
ZHU Guohui, FENG Dazheng, ZHOU Yan. TDOA Location Algorithm Based on Multi-reference Receivers ［J］. Journal of Xidian University, 2014, 41(4): 31-35.
［5］ BISHOP A N, FIDAN B, ANDERSON B D. Optimality Analysis of Sensor-target Localization Geometries ［J］. Automatica, 2010, 3(46): 479-492.
［6］ YANG B, SCHEUING J. Cramer-Rao Bound and Optimum Sensor Array for Source Localization from Time Differences of Arrival ［C］//Proceedings of the IEEE International Conference Acoustics, Speech and Signal Processing: 4. Piscataway: IEEE, 2005: Ⅳ961-Ⅳ964.
［7］ BISHOP A N, FIDAN B, ANDERSON B D. Optimality Analysis of Sensor-target Geometries in Passive Localization: Part 1-Bearing only localization ［C］//Proceedings of the International Conference on Intelligent Sensors, Sensor Networks and Information Processing. Piscataway: IEEE, 2007: 7-12.
［8］ STEPHAN H, MARTIN K, REINER T, et al. Selection of Antenna Array Configuration for Polarimetric Direction Finding in Correlated Signal Environments ［C］//Proceedings of 19th International ITG Workshop on Smart Antennas. Piscataway: IEEE, 2015: 1-8.
［9］ BISHOP A N, FIDAN B, ANDERSON B D. Optimality Analysis of Sensor-Target Geometries in Passive Localization: Part 2-Time-of-Arrival Based Localization ［C］//Proceedings of the International Conference on Intelligent Sensors, Sensor Networks and Information Processing. Piscataway: IEEE, 2007: 13-18.
［10］丰大军, 许录平, 宋诗斌, 等. 利用X射线脉冲星的星间差分联合定位算法［J］. 西安电子科技大学学报, 2014, 41(1): 81-86.
FENG Dajun, XU Luping, SONG Shibin, et al. Differential Co-localization Method Using the X-ray Pulsar ［J］. Journal of Xidian Univercity, 2014, 41(1): 81-86.
［11］ BISHOP A N, JENSFELT P. An Optimality Analysis of Sensor-Target Geometries for Signal Strength Based Localization ［C］//Proceedings of the International Conference on Intelligent Sensors, Sensor Networks and Information Processing. Piscataway: IEEE, 2009: 127-131.
［12］ YANG B, SCHEUING J. A Theoretical Analysis of 2D Sensor Arrays for TDOA Based Localization ［C］//Proceedings of the 2006 IEEE International Conference on Acoustics, Speech and Signal Processing. Piscataway: IEEE, 2006: 58-63.
［13］ HING C S. Closed-form Formulae for Time-difference-of-arrival Estimation ［J］. IEEE Transactions on Signal Processing, 2008, 56(8): 2614-2620.
［14］ CHAN Y T, HO K C. A Simple and Efficient Estimator for Hyperbolic Location ［J］. IEEE Transactions on Signal Processing, 1994, 42(8): 1905-1915.

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Optimum sensor array for passive localization from time differences of arrival

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