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Exact Closed-Form Expressions for the Distribution, Level-Crossing Rate, and Average Duration of Fades of the Capacity of MIMO Channels

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2 Author(s)
Hogstad, B.O. ; Dept. of Inf. & Commun. Technol., Agder Univ. Coll., Grimstad ; Patzold, M.

This paper deals with some important statistical properties of the multiple-input multiple-output (MIMO) channel capacity. We assume that all the subchannels are uncorrelated. In case of single-input multiple-output (SIMO) and multiple-input single-output (MISO) channels, exact closed-form expressions are derived for the probability density function (PDF), the cumulative distribution function (CDF), the level-crossing rate (LCR), and the average duration of fades (ADF) of the channel capacity. Furthermore, these exact closed-form expressions are extended to characterize the statistical properties of the maximum MIMO channel capacity. The correctness of the derived closed-form expressions is confirmed by simulations.

Published in:

Vehicular Technology Conference, 2007. VTC2007-Spring. IEEE 65th

Date of Conference:

22-25 April 2007