How much does transmit correlation affect the sum-rate scaling of MIMO Gaussian broadcast channels?
IEEE Transactions on Communications
Application of extreme value theory to level estimation innonlinearly distorted hidden Markov models
IEEE Transactions on Signal Processing
Scaling laws of multiple antenna group-broadcast channels
IEEE Transactions on Wireless Communications - Part 1
Opportunistic beamforming using dumb antennas
IEEE Transactions on Information Theory
On the capacity of MIMO broadcast channels with partial side information
IEEE Transactions on Information Theory
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Several areas in signal processing and communications rely on various tools in order statistics. Studying the scaling of the extreme values of iid random variables is of particular interest as it is sometimes only possible to make meaningful statements in the large number of variables case. This paper develops a new approach to finding the scaling of the minimum of iid variables by studying the behavior of the CDF and its derivatives at one point, or equivalently by studying the behavior of the characteristic function. The theory developed is used to study the scaling of several types of random variables and is confirmed by simulations.