A Framework for the Analysis of UWB Receivers in Sparse Multipath Channels with Intra-Pulse Interference via Pade Expansion

In this letter, we propose a framework for analyzing the performance of ultra wide band (UWB) receiver architectures in sparse multipath channels with overlapped multipath components (MPCs). The proposed methodology is based on approximating the moment generating function (MGF) of the received signal-to-noise ratio (SNR) via Pade expansion. The method can be applied to any fading scenarios and to any UWB receiver architectures, provided that the MGF of the SNR can be characterized in terms of a convergent Pade expansion. By comparing the results obtained from the analysis with those obtained from simulations in selected reference scenarios, it can be observed that the proposed approximation is very accurate.

[1]  R.A. Scholtz,et al.  Comparison of transmitted- and stored-reference systems for ultra-wideband communications , 2004, IEEE MILCOM 2004. Military Communications Conference, 2004..

[2]  Kei Hao,et al.  An exact computable formula for the average bit-error probability of the IEEE 802.15.3a UWB channel model , 2005, 2005 IEEE International Conference on Ultra-Wideband.

[3]  J. Ritcey,et al.  Pade approximations of probability density functions , 1994 .

[4]  Fortunato Santucci,et al.  The ultra-wide bandwidth outdoor channel: From measurement campaign to statistical modelling , 2006, Mob. Networks Appl..

[5]  Robert A. Scholtz,et al.  Ultra-wideband transmitted reference systems , 2005, IEEE Transactions on Vehicular Technology.

[6]  Moe Z. Win,et al.  Performance of low-complexity RAKE reception in a realistic UWB channel , 2002, 2002 IEEE International Conference on Communications. Conference Proceedings. ICC 2002 (Cat. No.02CH37333).

[7]  Andreas F. Molisch,et al.  Ultrawideband propagation channels-theory, measurement, and modeling , 2005, IEEE Transactions on Vehicular Technology.

[8]  Bartosz Mielczarek,et al.  Performance of coherent UWB Rake receivers with channel estimators , 2003, 2003 IEEE 58th Vehicular Technology Conference. VTC 2003-Fall (IEEE Cat. No.03CH37484).

[9]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[10]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[11]  Fortunato Santucci,et al.  Mean Acquisition Time and Overall Acquisition Probability for Differential UWB Receivers , 2006, 2006 IEEE International Conference on Communications.

[12]  Dong In Kim,et al.  Analysis of average signal-to-interference-noise ratio for indoor UWB Rake receiving system , 2005, 2005 IEEE 61st Vehicular Technology Conference.

[13]  Andreas F. Molisch,et al.  Channel models for ultrawideband personal area networks , 2003, IEEE Wireless Communications.

[14]  George K. Karagiannidis,et al.  Moments-based approach to the performance analysis of equal gain diversity in Nakagami-m fading , 2004, IEEE Transactions on Communications.

[15]  D. M. Drumheller Pade approximations to matched filter amplitude probability functions , 1999 .

[16]  Robert A. Scholtz,et al.  Multiple access with time-hopping impulse modulation , 1993, Proceedings of MILCOM '93 - IEEE Military Communications Conference.

[17]  G. A. Baker,et al.  Pade approximants. Part 2: Extensions and applications , 1981 .

[18]  Fortunato Santucci,et al.  WLC18-4: Timing Acquisition for DTR UWB Receivers in Frequency Selective Multipath Channels , 2006, IEEE Globecom 2006.

[19]  Danpu Liu,et al.  Performance comparison of two kinds of UWB Rake receiver , 2004, Proceedings of the IEEE 6th Circuits and Systems Symposium on Emerging Technologies: Frontiers of Mobile and Wireless Communication (IEEE Cat. No.04EX710).

[20]  Moe Z. Win,et al.  Analysis of UWB transmitted-reference communication systems in dense multipath channels , 2005, IEEE Journal on Selected Areas in Communications.

[21]  Gordon L. Stuber,et al.  Principles of Mobile Communication , 1996 .