Matrix computations (3rd ed.)
Microwave Mobile Communications
Microwave Mobile Communications
Information Theory and Reliable Communication
Information Theory and Reliable Communication
Error probability and SINR analysis of optimum combining in Rician fading
IEEE Transactions on Communications
IEEE Transactions on Signal Processing - Part I
IEEE Transactions on Wireless Communications
On the asymptotic capacity of MIMO systems with antenna arrays of fixed length
IEEE Transactions on Wireless Communications
Optimum combining with correlated interference
IEEE Transactions on Wireless Communications
Bit Error Rate Analysis of Maximal-Ratio Combining over Correlated Gaussian Vector Channels
IEEE Transactions on Wireless Communications
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An analytical expression is derived for the average output signal-to-interference-plus-noise ratio of optimum combining for a spatially correlated array of antennas in the presence of a single interferer and Rayleigh fading. Using the derived expression and based on an asymptotic analysis of the eigenvalues of dense correlation matrices, the asymptotic performance of optimum combining is evaluated as the number of the antennas increases while the total physical size of the array is fixed. Two different scenarios are considered, namely, fixed average received power per antenna and fixed total average received power. It is shown that in the former scenario, the average output signal-to-interference-plus-noise ratio is asymptotically a linear function of the number of the antennas while in the latter scenario it eventually saturates at a certain value. The slope of the asymptotic line in the former scenario as well as the value of the saturation limit in the latter scenario are derived in terms of the point spectrum of the underlying array correlation function. The case of multiple interferers is examined by simulation and is shown to exhibit similar asymptotic behaviour to the case of one interferer.