Statistical analysis of multipath fading channels using generalizations of shot noise
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Stochastic geometry and random graphs for the analysis and design of wireless networks
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Detection of multiple changes in fractional integrated ARMA processes
IEEE Transactions on Signal Processing
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IEEE Transactions on Wireless Communications
Statistical modeling of co-channel interference
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
IEEE Transactions on Wireless Communications
Communication in a Poisson field of interferers-part II: channel capacity and interference spectrum
IEEE Transactions on Wireless Communications
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IEEE Transactions on Wireless Communications
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The paper considers interference in a wireless communication network caused by users that share the same propagation medium. Under the assumption that the interfering users are spatially Poisson distributed and under a power-law propagation loss function, it has been shown in the past that the interference instantaneous amplitude at the receiver is α-stable distributed. Past work has not considered the second-order statistics of the interference and has relied on the assumption that interference samples are independent. In this paper, we provide analytic expressions for the interference second-order statistics and show that depending on the properties of the users' holding times, the interference can be correlated. We provide conditions under which the interference becomes m-dependent, φ-mixing, or long-range dependent. Finally, we present some implications of our theoretical findings on signal detection.