Open Access

Statistical Analysis of Multipath Fading Channels Using Generalizations of Shot Noise

  • Charalambos D. Charalambous1Email author,
  • Seddik M. Djouadi2 and
  • Christos Kourtellaris1
EURASIP Journal on Wireless Communications and Networking20082008:186020

DOI: 10.1155/2008/186020

Received: 3 December 2007

Accepted: 22 July 2008

Published: 29 July 2008

Abstract

This paper provides a connection between the shot-noise analysis of Rice and the statistical analysis of multipath fading wireless channels when the received signals are a low-pass signal and a bandpass signal. Under certain conditions, explicit expressions are obtained for autocorrelation functions, power spectral densities, and moment-generating functions. In addition, a central limit theorem is derived identifying the mean and covariance of the received signals, which is a generalization of Campbell_s theorem. The results are easily applicable to transmitted signals which are random and to CDMA signals.

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Authors’ Affiliations

(1)
Department of Electrical and Computer Engineering, University of Cyprus
(2)
Department of Electrical Engineering and Computer Science, University of Tennessee

Copyright

© Charalambos D. Charalambous et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.