arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1503.06358cs.ITmath.IT
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广义干扰对齐-第一部分:理论框架

Generalized Interference Alignment --- Part I: Theoretical Framework

Liangzhong Ruan, Vincent K. N. Lau, Moe Z. Win

摘要:

干扰对齐(IA)由于能够在干扰网络上实现最优的信噪比容量缩放,引起了人们极大的研究兴趣。IA最近也成为一个有效的工具,在工程干扰的保密保护无线窃听网络。然而,尽管有许多致力于IA的作品,但其两个基本问题,即,可行性条件和收发器设计在文献中没有完全解决。在这两部分的文件中,提出了一种广义干扰对齐(GIA)技术,以提高IA的保密保护能力。第一部分首先建立了一个理论框架来分析GIA的两个基本问题,然后在第二部分中描述了GIA在大规模随机网络中的性能,以说明GIA如何有利于保密保护。GIA的理论框架采用代数几何中的方法论,确定了GIA可行的充要条件,并给出了一组求解GIA问题的算法。该框架为全球影响评估的制定和实施奠定了基础。

英文摘要:

Interference alignment (IA) has attracted enormous research interest as it achieves optimal capacity scaling with respect to signal to noise ratio on interference networks. IA has also recently emerged as an effective tool in engineering interference for secrecy protection on wireless wiretap networks. However, despite the numerous works dedicated to IA, two of its fundamental issues, i.e., feasibility conditions and transceiver design, are not completely addressed in the literature. In this two part paper, a generalised interference alignment (GIA) technique is proposed to enhance the IA's capability in secrecy protection. A theoretical framework is established to analyze the two fundamental issues of GIA in Part I and then the performance of GIA in large-scale stochastic networks is characterized to illustrate how GIA benefits secrecy protection in Part II. The theoretical framework for GIA adopts methodologies from algebraic geometry, determines the necessary and sufficient feasibility conditions of GIA, and generates a set of algorithms that can solve the GIA problem. This framework sets up a foundation for the development and implementation of GIA.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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