Wireless Personal Communications

, Volume 34, Issue 3, pp 255–277 | Cite as

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

  • F. Elbahhar
  • A. Rivenq-Menhaj
  • J. M. Rouvaen


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.


ultra-wide band Gegenbauer polynomials Hermite polynomials 


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Copyright information

© Springer Science + Business Media, Inc. 2005

Authors and Affiliations

  1. 1.IEMN-DOAE (UMR 8520 CNRS)University of ValenciennesValenciennesFrance

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