Closed-form formulae for time-difference-of-arrival estimation

被引：93

作者：

So, Hing Cheung ^{[1
]}

Chan, Yiu Tong ^{[2
]}

Chan, Frankie Kit Wing ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Elect Engn, Kowloon, Hong Kong, Peoples R China

[2] Royal Mil Coll Canada, Dept Elect & Comp Engn, Kingston, ON K7K 7B4, Canada

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2008年 / 56卷 / 06期

关键词：

optimum processing; source localization; time delay estimation;

D O I：

10.1109/TSP.2007.914342

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

For a positioning system with L sensors, a maximum of L (L-1)/2 distinct time-difference-of-arrival (TDOA) measurements, which are referred to as the full TDOA set, can be obtained. In this paper, closed-form expressions regarding optimum conversion of the full TDOA set to the nonredundant TDOA set, which corresponds to (L-1) TDOA measurements with respect to a common reference receiver, in the case of white signal source and noise, are derived. The most interesting finding is that optimum conversion can be achieved via the standard least squares estimation procedure. Furthermore, the Cramer-Rao lower bound for TDOA-based positioning is produced in closed-form which will be useful for optimum sensor array design.

引用

页码：2614 / 2620

页数：7

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