NDLI: Monotonicity results for coherent MIMO Rician channels

Content Provider	IEEE Xplore Digital Library
Author	Hoesli, D. Kim, Y.-H. Lapidoth, A.
Copyright Year	1963
Abstract	The dependence of the Gaussian input information rate on the line-of-sight (LOS) matrix in multiple-input multiple-output (MIMO) coherent Rician fading channels is explored. It is proved that the outage probability and the mutual information induced by a multivariate circularly symmetric Gaussian input with any covariance matrix are monotonic in the LOS matrix D, or more precisely, monotonic in D/sup /spl dagger//D in the sense of the Loewner partial order. Conversely, it is also demonstrated that this ordering on the LOS matrices is a necessary condition for the uniform monotonicity over all input covariance matrices. This result is subsequently applied to prove the monotonicity of the isotropic Gaussian input information rate and channel capacity in the singular values of the LOS matrix. Extensions to multiple-access channels (MAC) are also provided.
Sponsorship	IEEE Information Theory Society
Starting Page	4334
Ending Page	4339
Page Count	6
File Size	245396
File Format	PDF
ISSN	00189448
Volume Number	51
Issue Number	12
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-01
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 Rician channels Covariance matrix Symmetric matrices Information rates Channel capacity Laboratories Random variables Closed-form solution Signal processing Rician fading Capacity line of sight multiple-access channels (MAC) multiple-input multiple-output (MIMO) outage partial order preorder
Content Type	Text
Resource Type	Article
Subject	Library and Information Sciences Information Systems Computer Science Applications

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On the Ergodic Capacity of Correlated Rician Fading MIMO Channels With Interference

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General capacity bounds for spatially correlated Rician MIMO channels

Closed-form expressions for the outage and ergodic Shannon capacity of MIMO MRC systems

Asymptotic Mutual Information Statistics of Separately Correlated Rician Fading MIMO Channels

Outage Theorems for MIMO Block-Fading Channels

Monotonicity results for coherent MIMO Rician channels

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