EURASIP Journal on Wireless Communications and Networking
Volume 2008 (2008), Article ID 186020, 9 pages
doi:10.1155/2008/186020
Research Article

Statistical Analysis of Multipath Fading Channels Using Generalizations of Shot Noise

Charalambos D. Charalambous,1 Seddik M. Djouadi,2 and Christos Kourtellaris1

1Department of Electrical and Computer Engineering, University of Cyprus, Nicosia 1678, Cyprus
2Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN 37996, USA

Received 3 December 2007; Revised 30 March 2008; Accepted 22 July 2008

Academic Editor: Xueshi Yang

Copyright © 2008 Charalambos D. Charalambous et al. 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.

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.