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In this paper, the authors first present a new closed form approximation for the sum-rate of random beamforming. A generic curve fitting procedure is developed to make this approximation accurate for arbitrary Signal-to-Noise Ratios (SNRs) and number of transmit antennas. Their analytical approach leads also to simple asymptotic formulas for high SNR or large number of antennas. Selected numerical results show that their proposed approximation leads to results that come very close to the exact sum-rate and that their asymptotic formulas converge to the exact values when the SNR or the number of antennas tend to high values.
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