NDLI: Matrix exponential learning: Distributed optimization in MIMO systems

Content Provider	IEEE Xplore Digital Library
Author	Mertikopoulos, P. Belmega, E.V. Moustakas, A.L.
Copyright Year	2012
Description	Author affiliation: Centre National de la Recherche Scientifique (CNRS) and the Laboratoire d'Informatique de Grenoble (Mertikopoulos, P.) \|\| Physics Department of the University of Athens, Greece (Moustakas, A.L.) \|\| ETIS/ENSEA - Université de Cergy-Pontoise - CNRS (Belmega, E.V.)
Abstract	We analyze the problem of finding the optimal signal covariance matrix for multiple-input multiple-output (MIMO) multiple access channels by using an approach based on ”ex-ponential learning”, a novel optimization method which applies more generally to (quasi-)convex problems defined over sets of positive-definite matrices (with or without trace constraints). If the channels are static, the system users converge to a power allocation profile which attains the sum capacity of the channel exponentially fast (in practice, within a few iterations); otherwise, if the channels fluctuate stochastically over time (following e.g. a stationary ergodic process), users converge to a power profile which attains their ergodic sum capacity instead. An important feature of the algorithm is that its speed can be controlled by tuning the users' learning rate; correspondingly, the algorithm converges within a few iterations even when the number of users and/or antennas per user in the system is large.
Starting Page	3028
Ending Page	3032
File Size	141086
Page Count	5
File Format	PDF
ISBN	9781467325806
ISSN	21578117
e-ISBN	9781467325790
e-ISBN	9781467325783
DOI	10.1109/ISIT.2012.6284117
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-07-01
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	MIMO Covariance matrix Convergence Resource management Optimization Space vehicles Heuristic algorithms sum rate Distributed optimization exponential learning multiple access channel
Content Type	Text
Resource Type	Article

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