Wireless information networks
Stochastic processes
Wireless Communications: Principles and Practice
Wireless Communications: Principles and Practice
IEEE Transactions on Signal Processing
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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.