Multi-User Ultra-Wide Band Communication System Based on Modified Gegenbauer and Hermite Functions

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. 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.