Optimum Geometry Selection in Mobile Sensor Networks

Ji, Wei-Wei; Liu, Zhong

doi:10.1109/icct.2006.341960

Cited by 4 publications

(1 citation statement)

References 7 publications

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“…Yang and Scheuing [8], [9] have shown that the uniform angular array (UAA) can achieve the minimum mean-square error (MSE) for a source located inside the geometry in time-difference-of-arrival (TDOA) positioning. Ji and Liu [10] studied the array geometry for energy based localization that can minimize the source position MSE and reached the same conclusion that the solution is a UAA. Schroeder [11] extends the theoretical optimum receiver placement to practical applications by minimizing the average GDOP.…”

Section: Introductionmentioning

confidence: 71%

Ultra-wideband localization with collocated receivers

Liu

2011

2011 IEEE International Conference on Ultra-Wideband (ICUWB)

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In this paper, a three-dimensional (3-D) ultrawideband time-of-arrival localization scheme that employs a single cluster of receivers is studied. The receivers are placed on a two-dimensional plane within a few decimeters, and no wireless synchronization is required among the receivers. The optimum 3-D receiver placement is analyzed in the sense of minimum estimation variance defined by the Cramér-Rao lower bound. The position error bound as a function of the number of receivers and the distance between the source and the receiver unit is derived. An average position estimation error of 26.6 cm is achieved in experiments when the transmitter is within 10 meters of the receiver unit, where four receivers are placed in the same place within a circle of radius 50 cm.Index Terms-Ultra-wideband (UWB), time-of-arrival (TOA), localization, position error bound (PEB).We can prove that the second term of the denominator of J −1(1,1) is always greater than or equal to zero: ≥ 0,where we have applied the property of a positive definite symmetric matrix, which results in |J 2,3 | ≤ J 2,2 J 3,3 , in the second step. Therefore,

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Section: Introductionmentioning

confidence: 71%