Congruential recursive codes for time hopping access in ultrawide band impulse radio systems

  • Authors:

  • Enzo Baccarelli;Mauro Biagi;Cristian Pelizzoni;Nicola Cordeschi;Fabio Garzia

  • Affiliations:

  • University of Rome "La Sapienza", Rome, Italy;University of Rome "La Sapienza", Rome, Italy;University of Rome "La Sapienza", Rome, Italy;University of Rome "La Sapienza", Rome, Italy;University of Rome "La Sapienza", Rome, Italy

  • Venue:
  • Proceedings of the 2006 international conference on Wireless communications and mobile computing
  • Year:
  • 2006

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Abstract

In this contribution Time-Hopping (TH) codes are developed based upon the theory of congruences. These codes can be used for coherent multiuser asynchronous spread spectrum communication systems. They represent a compromise between Costas codes, which have nearly ideal auto-ambiguity properties, and congruential codes presenting nearly ideal cross-properties. The presented code applied not in ranging applications but communications system presents good performance in terms of Bit Error Rate (BER) for UltraWide Band Impulse Radio (UWB-IR) systems. Examples of typical auto- and cross-ambiguity functions are given to illustrate the performance of the presented codes jointly with BER evaluation.