An asymptotic technique is developed to find theSignal-to-Interference-plus-Noise-Ratio (SINR) and spectral efficiency of alink with N receiver antennas in wireless networks with non-homogeneousdistributions of nodes. It is found that with appropriate normalization, theSINR and spectral efficiency converge with probability 1 to asymptotic limitsas N increases. This technique is applied to networks with power-law nodeintensities, which includes homogeneous networks as a special case, to find asimple approximation for the spectral efficiency. It is found that forreceivers in dense clusters, the SINR grows with N at rates higher than that ofhomogeneous networks and that constant spectral efficiencies can be maintainedif the ratio of N to node density is constant. This result also enables theanalysis of a new scaling regime where the distribution of nodes in the networkflattens rather than increases uniformly. It is found that in many cases inthis regime, N needs to grow approximately exponentially to maintain a constantspectral efficiency. In addition to strengthening previously known results forhomogeneous networks, these results provide insight into the benefit of usingantenna arrays in non-homogeneous wireless networks, for which few results areavailable in the literature.
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