Theoretical Lower Bound for UWB TDOA Positioning

Jun Xu, M. Ma, C. Law
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引用次数: 17

Abstract

Indoor radio channels suffer multipath and non- line-of-sight (NLOS) fading, which is undesirable for accurate indoor positioning. High bandwidth of Ultra-wideband (UWB) implies high temporal resolution and hence high ranging accuracy. Furthermore, its robustness to multipath fading makes UWB perfect for indoor applications. This paper analyses the theoretical bounds of position estimation based on UWB time-difference-of-arrival (TDOA) measurements in multipath and NLOS environments. The TDOA range errors are modeled as range dependent, where the variance of the range errors is a function of the interested TDOA range. Cramer-Rao Lower Bound (CRLB) for distance- independent and distance-dependent TDOA range errors has been derived and compared.
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超宽带TDOA定位的理论下界
室内无线电信道受到多径和非视距(NLOS)衰落的影响,这对精确的室内定位是不利的。超宽带(UWB)的高带宽意味着高时间分辨率和高测距精度。此外,它对多径衰落的鲁棒性使UWB非常适合室内应用。本文分析了在多径和近距离目视环境下基于超宽带到达时差分(TDOA)测量的位置估计的理论边界。将TDOA距离误差建模为距离相关,其中距离误差的方差是感兴趣的TDOA距离的函数。推导了距离无关和距离相关TDOA距离误差的Cramer-Rao下限(CRLB),并对其进行了比较。
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