CAREER: An Integrated Framework of Algebraic Universal Error Control for Network Coding: Algorithms, Complexities, and Hardware Implementations

本研究的目的是使通过网络编码，一个有前途的新的网络范式，在实际的通信网络，克服其脆弱性的错误。所提出的方法是一个复杂性驱动的集成框架，利用算法之间的错综复杂的关系，它们的复杂性，和它们的硬件实现。 智力优点：建议的研究重点是代数通用错误控制的网络编码，这是必不可少的，以确保最大的吞吐量的网络编码中存在的错误。现有的差错控制方案存在性能差、不切实际的高复杂度和低效率的硬件实现。共同解决这些相互作用的挑战，所提出的研究是第一次全面调查的网络编码与错误控制的复杂性和硬件实现的角度。本文的研究成果将产生新的差错控制方案，不仅具有上级的性能，而且具有低复杂度和高效的硬件实现。更广泛的影响：提出的网络编码差错控制方案将克服其易出错的弱点，具有低复杂度和高效的硬件实现。这两个因素使得在实际通信网络中能够采用网络编码。所提出的研究的集成设计方法、技术和结果可以外推到其他先进算法的实现，从而影响广泛的通信和信号处理系统。综合教育计划试图加强和多样化我们的科学和工程劳动力，以及弥合先进的信号处理算法和它们的有效实现之间的差距，从而有助于保持我们的国家？的技术优势。

The objective of this research is to enable the adoption of network coding, a promising new network paradigm, in practical communication networks by overcoming its vulnerability to errors. The proposed approach is a complexity driven integrated framework that harnesses the intricate relation between algorithms, their complexities, and their hardware implementations. Intellectual merit: The proposed research focuses on algebraic universal error control for network coding, which is essential to ensuring the maximum throughput of network coding in the presence of errors. Existing error control schemes suffer from inferior performance, unrealistically high complexities, and inefficient hardware implementations. Jointly addressing these interplaying challenges, the proposed research is the first comprehensive investigation of network coding with error control from the perspective of complexity and hardware implementation. The proposed research will result in new error control schemes that not only achieve superior performance, but also have low complexities and efficient hardware implementations.Broader impacts: The proposed error control schemes for network coding will overcome its vulnerability to errors, and have low complexities and efficient hardware implementations. Both factors enable the adoption of network coding in practical communication networks. The integrated design methodology, techniques, and results of the proposed research can be extrapolated to the implementation of other advanced algorithms, and hence impact a wide range of communication and signal processing systems. The integrated educational program attempts to strengthen and to diversify our science and engineering workforce, as well as to bridge the gap between advanced signal processing algorithms and their efficient implementations, thus helping to maintain our nation?s technological advantage.