Statistical analysis of multipath fading channels using generalizations of shot noise

  • Authors:
  • Charalambos D. Charalambous;Seddik M. Djouadi;Christos Kourtellaris

  • Affiliations:
  • Department of Electrical and Computer Engineering, University of Cyprus, Nicosia, Cyprus;Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN;Department of Electrical and Computer Engineering, University of Cyprus, Nicosia, Cyprus

  • Venue:
  • EURASIP Journal on Wireless Communications and Networking
  • Year:
  • 2008

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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.