Applications of Stochastic Ordering to Wireless Communications

Stochastic Control for Distributed Systems with Applications to Wireless Communications

This thesis investigates control and optimization of distributed stochastic systems motivated by current wireless applications. In wireless communication systems, power control is important at the user level in order to minimize energy requirements and to maintain communication Quality of Service (QoS) in the face of user mobility and fading channel variability. Clever power allocation provides...

Applications of representation theory to wireless communications

In this paper we demonstrate a new and original way to apply the representation theory of finite groups to the development of space-time codes for use in multiple antenna wireless communications. We include a summary of the relevant mathematical model for wireless communications on a multiple-antenna environment. We apply our construction with two examples and demonstrate that they outperform o...

Hessian Stochastic Ordering in the Family of multivariate Generalized Hyperbolic Distributions and its Applications

In this paper, random vectors following the multivariate generalized hyperbolic (GH) distribution are compared using the hessian stochastic order. This family includes the classes of symmetric and asymmetric distributions by which different behaviors of kurtosis in skewed and heavy tail data can be captured. By considering some closed convex cones and their duals, we derive some necessary and s...

FPGA in Wireless Communications Applications

Distributed Stochastic Optimization for Weakly Coupled Systems with Applications to Wireless Communications

In this paper, a framework is proposed to simplify solving the infinite horizon average cost problem for the weakly coupled multi-dimensional systems. Specifically, to address the computational complexity issue, we first introduce a virtual continuous time system (VCTS) and obtain the associated fluid value function. The relationship between the VCTS and the original discrete time system is fur...