Extended shadow fading model for irregular cellular networks

We consider a cellular network where base stations with widely different maximum power capabilities (or power classes) are deployed in a highly inhomogeneous or irregular pattern - referred to as an irregular cellular network. This paper proposes an extension of a spatially correlated shadowing model appropriate for irregular networks, that was detailed in previous work. The extended model has the capability to generate correlated lognormal shadowing in scenarios with inhomogeneous shadowing parameters. This is accomplished through computation of multiple Gaussian potential fields. A complete algorithm for the shadowing model is detailed in the paper. In addition, the model is verified through simulation, and computational complexity reduction is discussed. The proposed model enables the calculation of correlated shadowing in realistic irregular cellular networks. In addition, it forms part of a channel simulation framework which will be important in evaluating slow adaptation algorithms such as those forming part of 3GPP LTE SON.