NDLI: Capacity and Character Expansions: Moment-Generating Function and Other Exact Results for MIMO Correlated Channels

Content Provider	IEEE Xplore Digital Library
Author	Simon, S.H. Moustakas, A.L. Marinelli, L.
Copyright Year	1963
Abstract	A promising new method from the field of representations of Lie groups is applied to calculate integrals over unitary groups, which are important for multiantenna communications. To demonstrate the power and simplicity of this technique, a number of recent results are rederived, using only a few simple steps. In particular, we derive the joint probability distribution of eigenvalues of the matrix GG^dagger, with G a nonzero mean or a semicorrelated Gaussian random matrix. These joint probability distribution functions can then be used to calculate the moment generating function of the mutual information for Gaussian multiple-input multiple-output (MIMO) channels with these probability distribution of their channel matrices G. We then turn to the previously unsolved problem of calculating the moment generating function of the mutual information of MIMO channels, which are correlated at both the receiver and the transmitter. From this moment generating function we obtain the ergodic average of the mutual information and study the outage probability. These methods can be applied to a number of other problems. As a particular example, we examine unitary encoded space-time transmission of MIMO systems and we derive the received signal distribution when the channel matrix is correlated at the transmitter end
Sponsorship	IEEE Information Theory Society
Starting Page	5336
Ending Page	5351
Page Count	16
File Size	419837
File Format	PDF
ISSN	00189448
Volume Number	52
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-12-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	MIMO Mutual information Probability distribution Eigenvalues and eigenfunctions Transmitters Receiving antennas Transmitting antennas Throughput Antenna theory Information analysis unitary space–time coding Capacity character expansions multiple antennas multiple-input multiple-output (MIMO) random matrix theory space–time coding
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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