Copula-Based Bounds for Multi-User Communications -- Part I: Average Performance

TL;DR

This paper explores how different dependency structures among fading channels affect the average performance of multi-user wireless systems, providing bounds and modeling tools for system design.

Contribution

It introduces methods for analyzing and designing multi-user systems considering various dependency structures of fading channels, focusing on average performance bounds.

Findings

Develops dependency modeling techniques for fading channels.

Provides bounds for average performance under different dependencies.

Offers tools for system design considering channel dependencies.

Abstract

Statistically independent or positively correlated fading models are usually applied to compute the average performance of wireless communications. However, there exist scenarios with negative dependency and it is therefore of interest how different performance metrics behave for different general dependency structures of the channels. Especially best-case and worst-case bounds are practically relevant as a system design guideline. In this two-part letter, we present methods and tools from dependency modeling which can be applied to analyze and design multi-user communications systems exploiting and creating dependencies of the effective fading channels. The first part focuses on fast fading with average performance metrics, while the second part considers slow fading with outage performance metrics.