Dependence Control at Large

TL;DR

This paper explores the dependence control theory in wireless channels, revealing the intrinsic light-tailed capacity behavior and how dependence manipulation can optimize system performance and resource trade-offs.

Contribution

It provides a novel analysis of dependence transformability and tail properties of wireless channel capacity from an information theoretic perspective.

Findings

Wireless capacity exhibits intrinsic light-tailed behavior due to environmental and power constraints.

Manipulating marginal distributions biases dependence towards positive, limiting negative dependence benefits.

Dependence acts as a resource that can be traded off with other system resources like power.

Abstract

We study the dependence control theory, with a focus on the tail property and dependence transformability of wireless channel capacity, respectively, from the perspective of an information theoretic model of the wireless channel and from the perspective of a functional of controllable and uncontrollable random parameter processes. We find that the light-tailed behavior is an intrinsic property of the wireless channel capacity, which is due to the passive nature of the wireless propagation environment and the power limitation in the practical systems. We observe that the manipulation of the marginal distributions has a bias in favor of positive dependence and against negative dependence, e.g., when a parameter process bears negative dependence, the increases of the means of marginals can not leads effectively to a better system performance. On the other hand, the dependence bias indicates that the dependence is a tradable resource, i.e., when the dependence resource is utilized another resource can be saved. For example, the negative dependence can be traded for transmission power in terms of the performance measures.