Paper Info
Title
Stochastic optimization based on the Laplace transform order with applications to precoder designs
Abstract
Stochastic optimization arising from precoding in a multi-antenna fading channel with channel mean feedback to maximize data rates is important but challenging. The use of relaying further complicates the situation, as it may induce a nonconvex structure in the objective function, thereby excluding the use of existing approaches which re quire convexity or concavity. To deal with challenges as such, this paper presents a new framework for solving a class of stochastic optimization problems. The analysis here involves the comparison of two nonnegative random variables in the Laplace transform order. Our framework is particularized to optimal precoding for maximum ergodic or effective capacity in multi-antenna channels with or with out relaying assuming channel mean feedback, where the objectives may or may not have convexity or concavity. The application to stochastic power allocation is also discussed.
Year
DOI
Venue
2011
10.1109/ICASSP.2011.5946311
ICASSP
Keywords
Field
DocType
optimisation,stochastic processes,precoding,convexity,fading channels,laplace transform order,channel mean feedback,laplace transforms,stochastic power allocation,optimal precoding,antennas,precoder design,nonconvex structure,stochastic optimization problem,maximum ergodic,multiantenna fading channel,concavity,random variable,fading channel,resource management,objective function,transmitters,laplace transform,laplace equation,random variables,optimization,stochastic optimization,resource manager,mimo
Stochastic optimization,Mathematical optimization,Convexity,Laplace transform,Fading,Computer science,MIMO,Communication channel,Stochastic process,Precoding
Conference
ISSN
ISBN
Citations 
1520-6149 E-ISBN : 978-1-4577-0537-3
978-1-4577-0537-3
3
PageRank 
References 
Authors
0.39
11
2
Name
Order
Citations
PageRank
Minhua Ding11377.76
Keith Q. T. Zhang224022.34