  Correlation of interference affects spatio-temporal aspects of various
wireless mobile systems, such as retransmission, multiple antennas and
cooperative relaying. In this paper, we study the spatial and temporal
correlation of interference in mobile ad-hoc networks under a correlated
shadowing environment. By modeling the node locations as a Poisson point
process with an i.i.d. mobility model and considering Gudmundson (1991)' s
spatially correlated shadowing model, we theoretically analyze the relationship
between the correlation distance of log-normal shadowing and the spatial and
temporal correlation coefficients of interference. Since the exact expressions
of the correlation coefficients are intractable, we obtain their simple
asymptotic expressions as the variance of log-normal shadowing increases. We
found in our numerical examples that the asymptotic expansions can be used as
tight approximate formulas and useful for modeling general wireless systems
under spatially correlated shadowing.
