Stochastic Dependence in Wireless Channel Capacity: A Hidden Resource

TL;DR

This paper investigates how negative stochastic dependence in wireless channel capacity can be exploited as a hidden resource to improve performance, by modeling the channel as a Markov additive process and controlling dependence structures.

Contribution

It introduces a novel approach to dependence control in wireless channels using copulas and Markov models to enhance performance by inducing negative dependence.

Findings

Negative dependence improves wireless channel performance.

Dependence control is achievable through controllable parameters.

Modeling with copulas enables dependence structure manipulation.

Abstract

This paper dedicates to exploring and exploiting the hidden resource in wireless channel. We discover that the stochastic dependence in wireless channel capacity is a hidden resource, specifically, if the wireless channel capacity bears negative dependence, the wireless channel attains a better performance with a smaller capacity. We find that the dependence in wireless channel is determined by both uncontrollable and controllable parameters in the wireless system, by inducing negative dependence through the controllable parameters, we achieve dependence control. We model the wireless channel capacity as a Markov additive process, i.e., an additive process defined on a Markov process, and we use copula to represent the dependence structure of the underlying Markov process. Based on a priori information of the temporal dependence of the uncontrollable parameters and the spatial dependence between the uncontrollable and controllable parameters, we construct a sequence of temporal copulas of the Markov process, given the initial distributions, we obtain a sequence of transition matrices of the controllable parameters satisfying the expected dependence properties of the wireless channel capacity. The goal of this paper is to show the improvement of wireless channel performance from transforming the dependence structures of the capacity.