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Performance of multi-antenna linear MMSE receivers in the presence of clustered interferers

A technique is presented to characterize the Signal-to-Interference-plus-Noise Ratio (SINR) on a wireless link with a multi-antenna linear Minimum-Mean-Square Error (MMSE) receiver in the presence of spatially clustered interferers. The interferers could be distributed as either a single, randomly located cluster or a Poisson cluster process. Explicit expressions are provided for both the Thomas and Matern cluster processes of interferers which can be evaluated numerically using standard numerical integration tools. These results generalize previously derived results for non-homogenous Poisson networks (where the spatial non-homogeneity is deterministic) to networks where the non-homogeneity is random.