Statistical UWB range error model for the threshold leading edge detector

This paper explores the possibility of deducing the moments of the range error statistics of a threshold detector from known channel profiles. An analytical method for the calculation of the range error probability mass functions is presented, which takes into account the cumulating detection probability with increasing channel excess delay. This further allows the calculation of range error moments at various SNR levels. We discuss two approaches of characterizing the ranging behaviour of a given channel model. Results for the error variation among different realizations of the same model, as well as average accuracy for a single ranging transmission are presented. Such an analysis is performed on two sets of simulated UWB channels, representing residential LOS and NLOS transmitting conditions.

[1]  Chia-Chin Chong,et al.  A Comprehensive Standardized Model for Ultrawideband Propagation Channels , 2006, IEEE Transactions on Antennas and Propagation.

[2]  Kaveh Pahlavan,et al.  Modeling of the distance error for indoor geolocation , 2003, 2003 IEEE Wireless Communications and Networking, 2003. WCNC 2003..

[3]  Kaveh Pahlavan,et al.  Modeling of the TOA-based distance measurement error using UWB indoor radio measurements , 2006, IEEE Communications Letters.

[4]  Benoit Denis,et al.  Impact of NLOS propagation upon ranging precision in UWB systems , 2003, IEEE Conference on Ultra Wideband Systems and Technologies, 2003.

[5]  S. Kay.  Fundamentals of statistical signal processing: estimation theory , 1993 .

[6]  Mani B. Srivastava,et al.  IEEE TRANSACTIONS ON MOBILE COMPUTING 1 An Analysis of Error Inducing Parameters in Multihop Sensor Node Localization , 2004 .

[7]  Kaveh Pahlavan,et al.  Studying the effect of bandwidth on performance of uwb positioning systems , 2006, IEEE Wireless Communications and Networking Conference, 2006. WCNC 2006..