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The Structure of General Interference Functions and Applications

机译：通用干扰函数的结构和应用

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摘要

This paper provides a theoretical framework for the analysis of interference-coupled multiuser systems. The fundamental behavior of such a system is modeled by interference functions, defined by axioms ldquononnegativity, rdquoscale-invariance,rdquo and ldquomonotonicity.rdquo It is shown that every interference function has an interpretation as the optimum of a min-max problem, where the optimization is over a closed comprehensive positive coefficient set. This provides new insight into the structure of general interference functions and its elementary building blocks. Conversely, it is shown that every closed comprehensive positive set can be expressed as a level set of an interference function. This shows a close connection between the analysis of interference functions and multiuser performance regions, which are typically closed comprehensive. The generality of this framework allows for a wide range of potential applications. As an example, we analyze the problem of interference balancing.
机译：本文为干扰耦合多用户系统的分析提供了理论框架。这种系统的基本行为是由干扰函数建模的，该干扰函数由公理的ldquononnegativity，rdquoscale-invariance，rdquo和ldquo单调性定义。rdquo证明了每个干扰函数都有一个解释，即最小-最大问题的最优解，其中最优化在一个封闭的综合正系数集上。这为一般干扰功能的结构及其基本构造块提供了新的见解。相反，表明每个封闭的综合正集都可以表示为干扰函数的水平集。这显示了干扰功能分析和多用户性能区域之间的紧密联系，这些区域通常是封闭的。该框架的通用性允许广泛的潜在应用。例如，我们分析了干扰平衡的问题。

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