信息论基础与编码 (5)
36页1、Advaned Optimization Topics in Robust Beamforming Lecture TopicsIntroduction Optimization Problem and ReviewTake examples for Engineering Background involving in Optimization Problem Outage-based Robust Beamforming(QCQP SDP)NP-hard problem involving 3-SAT,Partition,Nonconvex QP combined with Multicell Coordinated BeamformingProximity,Bregman Distance,Proximity Gradient Method combined with Bayesian Statistics InferenceIntroduction Optimization Problem and Reviewconvex optimization problem in sta
2、ndard formRemark:P and D are a convex on Rn and are affine on Rn Fakas lemma&Duality theoryKKT TheoremPower Allocation in Parallel AWGN ChannelCapacity of Channels known to TransmittersSubspaces Affine setsthe affine set C can be expressed as i.e as a subspace plus an offset Convex setsconvex set expansion and convex combination of points in CHyperplanes and halfspacesIntersectionexampleEllipsoids Worst-Case Robust Beamforming ProblemSecond order cone ConesLinear-fractional transformationin addi
3、tion epigraph and sublevel Convex Optimization ProblemConvex optimization problem in standard formconvex and a few of PDF affine equality constraintsfeasible set is convex and dual problemExamples on optimization problemApproximate the FIR via chebyshev Error Weighted value desirable filter Standard Form for Filter ScenariosExamples for different issues involving in Optimization algorithm Information Theory on Space-Time Channel Capacity the mutual information is maxmum if H(Y/H)is maxmum.the ca
4、pacity C(H)for a linear flat fading MIMOPartition Problem MAXCUT Sat Boolean least-square problem basic problem in digital communicationscould check all 2n possible value of xan NP-Hard problem,and very hard in practisemany heuristics for approximate solutionwherethe cost of having-witha feasible x corresponds to the partitionthe objective is to find the patition with least total costMuti-Group Multicast Transmit BeamformingDownlink transmission:based station has K antennas,m receiversn multicas
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