5,755 research outputs found
Decomposition by Successive Convex Approximation: A Unifying Approach for Linear Transceiver Design in Heterogeneous Networks
We study the downlink linear precoder design problem in a multi-cell dense
heterogeneous network (HetNet). The problem is formulated as a general
sum-utility maximization (SUM) problem, which includes as special cases many
practical precoder design problems such as multi-cell coordinated linear
precoding, full and partial per-cell coordinated multi-point transmission,
zero-forcing precoding and joint BS clustering and beamforming/precoding. The
SUM problem is difficult due to its non-convexity and the tight coupling of the
users' precoders. In this paper we propose a novel convex approximation
technique to approximate the original problem by a series of convex
subproblems, each of which decomposes across all the cells. The convexity of
the subproblems allows for efficient computation, while their decomposability
leads to distributed implementation. {Our approach hinges upon the
identification of certain key convexity properties of the sum-utility
objective, which allows us to transform the problem into a form that can be
solved using a popular algorithmic framework called BSUM (Block Successive
Upper-Bound Minimization).} Simulation experiments show that the proposed
framework is effective for solving interference management problems in large
HetNet.Comment: Accepted by IEEE Transactions on Wireless Communicatio
Transport Coefficients for Holographic Hydrodynamics at Finite Energy Scale
We investigate the relations between black hole thermodynamics and
holographic transport coefficients in this paper. The formulae for DC
conductivity and diffusion coefficient are verified for electrically
single-charged black holes. We examine the correctness of the proposed
expressions by taking charged dilatonic and single-charged STU black holes as
two concrete examples, and compute the flows of conductivity and diffusion
coefficient by solving the linear order perturbation equations. We then check
the consistence by evaluating the Brown-York tensor at a finite radial
position. Finally, we find that the retarded Green functions for the shear
modes can be expressed easily in terms of black hole thermodynamic quantities
and transport coefficients.Comment: 33 pages,4 figures,to appear in Advances in High Energy Physic
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