Adaptive transmission with finite code rates

Adaptive transmission with discrete code rates and power levels

Throughput maximization of an adaptive transmission system with a finite number of transmitted power levels and code rates for communication over slow fading channels is analyzed based on the concept of information outage. Properties of throughput maximizing policies lead to an iterative algorithm that yields good system designs. Numerical results show that carefully designed discrete adaptive ...

Adaptive transmission with discrete code rates and channel state uncertainty

Without perfect channel state information at the transmitter, it is possible for adaptive transmission systems to experience information outage. In this paper, we formulate the throughput maximization with both an average power constraint and an information outage constraint. It is verified that, for the optimal transmission policy, the transmission only needs to adapt to a sufficient statistic...

Adaptive Finite Element Methods with convergence rates

A Goal-Oriented Adaptive Finite Element Method with Convergence Rates

An adaptive finite element method is analyzed for approximating functionals of the solution of symmetric elliptic second order boundary value problems. We show that the method converges and derive a favorable upper bound for its convergence rate and computational complexity. We illustrate our theoretical findings with numerical results.

Convergence rates for adaptive finite elements

In this article we prove that it is possible to construct, using newestvertex bisection, meshes that equidistribute the error in H-norm, whenever the function to approximate can be decomposed as a sum of a regular part plus a singular part with singularities around a finite number of points. This decomposition is usual in regularity results of Partial Differential Equations (PDE). As a conseque...