Time of arrival and power delay profile estimation for IR-UWB systems

In time of arrival (TOA) estimation of received ultra-wideband (UWB) pulses, traditional maximum likelihood (ML) and generalized likelihood estimators become impractical because they require sampling at the Nyquist rate. Sub-Nyquist ML-based TOA estimation currently assumes a priori knowledge of the UWB channels in the form of the average power delay profile (APDP). In this paper, instead of assuming a known APDP, we propose and investigate a joint estimator of the TOA and the APDP. We assume a multi-cluster parametric APDP model and estimate its parameters via a least-squares approach; the estimated APDP is then used in connection with a ML criterion to obtain the TOA estimate. The proposed method has a low sampling rate requirement and is well-suited for real-time implementation. Simulation results show that it can achieve improved accuracy in practical UWB TOA estimation scenarios, when compared to other competing approaches. Highlights? A joint sub-Nyquist ML estimator of the TOA and APDP is proposed for IR-UWB systems. ? The multi-cluster APDP parameters are estimated via a least-squares approach. ? The multi-dimensional Cramer-Rao bound on parameter estimates is developed. ? The estimated APDP can be employed by earlier TOA estimation methods. ? The proposed TOA estimator has a good accuracy and outperforms earlier methods.

[1]  Marc Moeneclaey,et al.  Optimal Channel and Time-Of-Arrival Estimation for IR-UWB in the Presence of Pulse Overlap , 2010, 2010 IEEE International Conference on Communications.

[2]  H. Vincent Poor,et al.  Two-Step Time of Arrival Estimation for Pulse-Based Ultra-Wideband Systems , 2008, EURASIP J. Adv. Signal Process..

[4]  Heinrich Luecken,et al.  ML timing estimation for generalized UWB-IR energy detection receivers , 2009, 2009 IEEE International Conference on Ultra-Wideband.

[5]  Brian M. Sadler,et al.  Time Delay Estimation Bounds in Convolutive Random Channels , 2007, IEEE Journal of Selected Topics in Signal Processing.

[6]  I. Guvenc,et al.  Ultra-wideband range estimation: Theoretical limits and practical algorithms , 2008, 2008 IEEE International Conference on Ultra-Wideband.

[7]  H. Vincent Poor,et al.  An Introduction to Signal Detection and Estimation , 1994, Springer Texts in Electrical Engineering.

[8]  D. Bernstein Matrix Mathematics: Theory, Facts, and Formulas , 2009 .

[9]  H. Vincent Poor,et al.  An introduction to signal detection and estimation (2nd ed.) , 1994 .

[10]  Guerino Giancola,et al.  Understanding Ultra Wide Band Radio Fundamentals , 2004 .

[11]  Moe Z. Win,et al.  Threshold-Based Time-of-Arrival Estimators in UWB Dense Multipath Channels , 2006, 2006 IEEE International Conference on Communications.

[12]  Robert A. Scholtz,et al.  Ranging in a dense multipath environment using an UWB radio link , 2002, IEEE J. Sel. Areas Commun..

[13]  Suzanne Lesecq,et al.  New TOA Estimators within Energy-Based Receivers under Realistic UWB Channel Statistics , 2010, 2010 IEEE 71st Vehicular Technology Conference.

[14]  Marc Moeneclaey,et al.  Time-of-Arrival Estimation by Means of SAGE for IR-UWB in the Presence of Pulse Overlap , 2010, 2010 Second International Conference on Advances in Satellite and Space Communications.

[15]  Roy Want,et al.  An introduction to RFID technology , 2006, IEEE Pervasive Computing.

[16]  Helmut Bölcskei,et al.  Ultrawideband Channel Modeling on the Basis of Information-Theoretic Criteria , 2005, IEEE Transactions on Wireless Communications.

[17]  Sinan Gezici,et al.  Ultra-wideband Positioning Systems: Theoretical Limits, Ranging Algorithms, and Protocols , 2008 .

[18]  Z. WinM.,et al.  The ultra-wide bandwidth indoor channel , 2006 .

[19]  Huarui Yin,et al.  Low Complexity Tri-Level Sampling Receiver Design for UWB Time-of-Arrival Estimation , 2011, 2011 IEEE International Conference on Communications (ICC).

[20]  Chi Xu,et al.  TOA Estimator for UWB Backscattering RFID System with Clutter Suppression Capability , 2010, EURASIP J. Wirel. Commun. Netw..

[21]  Moe Z. Win,et al.  Ranging With Ultrawide Bandwidth Signals in Multipath Environments , 2009, Proceedings of the IEEE.

[22]  D. Bernstein Matrix Mathematics: Theory, Facts, and Formulas , 2009 .

[23]  Z. WinM.,et al.  Characterization of ultra-wide bandwidth wireless indoor channels , 2006 .

[24]  Stavros Stavrou,et al.  Estimation of time of arrival of UWB multipath clusters through a spatial correlation technique , 2007 .

[25]  Moe Z. Win,et al.  The ultra-wide bandwidth indoor channel: from statistical model to simulations , 2002, IEEE J. Sel. Areas Commun..

[26]  A. Giorgetti,et al.  Time-of-Arrival Estimation of UWB Signals in the Presence of Narrowband and Wideband Interference , 2007, 2007 IEEE International Conference on Ultra-Wideband.

[27]  S. Gezici,et al.  Ranging in the IEEE 802.15.4a Standard , 2006, 2006 IEEE Annual Wireless and Microwave Technology Conference.

[28]  Moe Z. Win,et al.  Characterization of ultra-wide bandwidth wireless indoor channels: a communication-theoretic view , 2002, IEEE J. Sel. Areas Commun..