Abstract
In this paper a multi-user communication system based on ultra-wide band (UWB) technology is studied. UWB uses very short pulses, so that the spectrum of the emitted signals may spread over several GHz. In order to implement multi-user communication, the emitted signal must be modulated. One modulation scheme for UWB communications is to use analog waveforms to modulate the data.
In this study, orthogonal waveforms called modified Gegenbauer functions are introduced as basis functions for the pulse shape and compared to the previously proposed modified Hermite functions. It is shown that Gegenbauer functions offer better performance for multi-user UWB communications.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. Erseghe, “Ultra Wide Band Pulse Communications”, Ph.D. Dissertation, University of Padova, Italy, 2002.
Federal Communications Commission, “Notice of Proposed Rule Making”, FCC 00–163, Docket 98–153, Washington, May 2000.
M.Z. Win and R.A. Scholtz, “Ultra-Wide Bandwidth (UWB) Time-Hopping Spread Spectrum Impulse Radio for Wireless Multiple Access Communication”, IEEE Transactions on Communications, Vol. 48, pp. 679–691, 2000.
J. Foerster, “The Effects of Multipath Interference on UWB Performance in an Indoor Wireless Channel”, inProceedings of the IEEE Vehicular Technology Conference, Rhodes, Greece, pp. 1176–1180, 2001.
J.R. Homan, M.G. Cotton, R.J. Achatz, R.N. Statz and R.A. Dalke, “Measurements to Determine Potential Interference to GPS Receivers from Ultrawideband Transmission systems”, NTIA Rapport 01-384, February 2001.
G. Durisi and S. Benedetto, “Performance Evaluation and Comparison of Different Modulation Schemes for UWB Multiaccess Systems”, ICC-2003, Anchorage, USA, pp. 2187–2491, May 2003.
Q. Li and A. Rusch, “Multiuser Detection for DS-CDMA UWB in the Home Environment”, IEEE Journal of Selected Areas in Communication, Vol. SAC-20, pp. 1701–1711, 2002.
M. Abramovitz and I.A. Stegun, “Orthogonal Polynomials”, inHandbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, Dover, New York, 1972.
G. Arfken, “Hermite Functions”, inMathematical Methods for Physicists, Academic Press, Orlando, 1985.
A. Erdelyi, W. Magnus, F. Oberhettinger and F.G. Tricomi, “Higher Transcendental Functions”, Vol. 2, Krieger, New York, 1981.
P.M. Morse and H. Freshbach, “Methods of Theoretical Physics. Part 1”, Mc-Graw Hill, New York, 1953.
B.M. Lachlan, M. Ghavami and R. Kohno, “Multiple Pulse Generator for Ultra-Wideband Communication Using Hermite Polynomial Based Orthogonal Pulses”, IEEE Conference on Ultra Wideband Systems and Technology, 2002.
B.M. Lachlan, M. Ghavami and R. Kohno, “Effect of Timing Jitter on Hermite Function Based Orthogonal Pulses for Ultra Wideband Communication”, inProceedings of the Fourth International Symposium on Wireless Personal Multimedia Communications, Aalborg, Denmark, pp. 441–444, September 2001.
J. Foerster, “Channel Modeling Sub-Committee Final Report”, IEEE, P802.15 02/490r1 SG3a, February 2002. Available: http://grouper.ieee.org/groups/802/15/pub/2002/Nov02/.
J.G. Proakis, “Digital Communications”, Mc-Graw Hill, New York, 2001.
F. Elbahhar, A. Rivenq-Menhaj, M. Heddebaut, J.M. Rouvaen and J.P. Ghys, “Ultra Wideband Technique for Short Wireless Communication System”, Physics Chemistry News, Vol. 15, pp. 4–9, 2004.
G. Durisi, A. Tarable, J. Romme and S. Benedetto, “A General Method for Error Probability Computation of UWB Systems for Indoor Multiuser Communications”, Journal of Communication Networks, Vol. 5, pp. 354–364, 2003.
F.M. Gardner and J.D. Baker, “Simulation Techniques, Models of Communication Signals and Processes”, Wiley, New York, 1997.
D. Cassioli, M. Win and A. Molisch, “The Ultra-Wide Bandwidth Indoor Channel: From Statistical Model to Simulations”, IEEE Journal Selected Areas in Communications, Vol. SAC-20, pp. 1247–1257, 2002.
R. Cramer, R. Scholt and M. Win, “Evaluation of an Ultra-Wide-Band Propagation Channel”, IEEE Transactions on Antennas and Propagation, Vol. AP-50, pp. 561–570, 2002.
A.F. Molisch, J.R. Foerster and M. Pendergrass, “Channel Models for Ultra-Wideband Personal Area Networks”, IEEE Wireless Communications, Vol. 10, pp. 14–21, 2003.
R.C. Qiu, “A Study of the Ultra-Wideband Wireless Propagation Channel and Optimum UWB Receiver Design”, IEEE Journal of Selected Areas in Communications, Vol. SAC-20, pp. 1628–1637, 2002.
Author information
Authors and Affiliations
Corresponding author
Additional information
Fouzia Elbahhar was born in 1975. She received the M.S. and Ph.D. degrees from the University of Valenciennes (France) in 2000 and 2004, respectively. She is actually employed as Research Asistant at this university. She is especially involved in Ultra Wide Band technology. Her primary interest is in systems dedicated to land transportation for communications, like vehicle to vehicle telecommunication.
Atika Rivenq-Menhaj was born in 1970. She received her Diploma of Engineering and the M.S. degree in 1993 and then her Ph.D. degree in 1996, from the University of Valenciennes (France). She actually is Assistant Professor in electronics at this university. Her primary interest is in signal processing applied to intelligent transportation systems and telecommunication systems.
Jean-Michel Rouvaen was born in 1947. He received his M.S. degree in 1968 and his Ph.D. degree in 1971, from the University of Valenciennes (France). He is now Professor of electronics at ENSIAME, an engineering school of university of Valenciennes. His primary interests are in signal processing, nonlinear phenomena and telecommunications.
Rights and permissions
About this article
Cite this article
Elbahhar, F., Rivenq-Menhaj, A. & Rouvaen, J.M. Multi-User Ultra-Wide Band Communication System Based on Modified Gegenbauer and Hermite Functions. Wireless Pers Commun 34, 255–277 (2005). https://doi.org/10.1007/s11277-005-3922-2
Issue Date:
DOI: https://doi.org/10.1007/s11277-005-3922-2