CIF: Small: Theory, Algorithms, and Applications of Super-Nyquist Coding

随着对无处不在的连接和数据访问的需求不断增长，人们迫切需要部署更广泛、更高容量的有线和无线网络基础设施。随着网络密度的增加，传播环境变得越来越具有挑战性，需要新的通信技术、体系结构和协议来应对这些关键挑战。例子包括符号间（或自）、信道间、网络内和网络外干扰。多年来，错误控制编码社区已经开发了一系列有效减轻通信系统中噪声影响的编码。最终，本研究的目标可以被视为开发一种信号架构，从底层代码的角度有效地将干扰转换为标准的、更良性的噪声。为了应对这些挑战，本研究开发了超级奈奎斯特信号格式在现代编码数字通信系统中的作用。在传统系统中，选择与信道带宽相匹配的符号速率。利用这种经典方法，发射脉冲可以设计成正交的，对应于独立自由度上的信号。然而，在具有超级奈奎斯特信号的系统中，选择的符号速率明显高于信道带宽，从而导致具有自干扰的传输，其影响可以通过使用适当的均衡来补偿。该研究发展了超级奈奎斯特编码在一系列网络场景中的作用，从简单的点对点间符号干扰信道模型开始，发展到更丰富的多输入/多输出、多接入和干扰信道模型。研究强调了该信令在协议栈物理层和链路层的联合设计中所起的特殊作用。本文还探讨了源编码中的对偶问题。

With the ever growing demand for ubiquitous connectivity and data access, there is a driving need to deploy ever more extensive and higher capacity network infrastructure---wired and wireless. With such increases in network density, the propagation environments become increasingly challenging, and new communication techniques, architectures, and protocols are needed to meet these critical challenges. Examples include intersymbol (or self-), inter-channel, intra-network, and extra-network interference. Over the years, the error-control coding community has developed a wide range of codes for efficiently mitigating the effects of noise in communication systems. Ultimately, the goal of this research can be viewed as developing a signaling architecture that efficiently and effectively transforms interference into standard, more benign noise from the perspective of the underlying code.To approach these challenges, this research develops the role of super-Nyquist signaling formats in modern coded digital communication systems. In traditional systems, the symbol rate is chosen to match the channel bandwidth. With this classical approach, the transmit pulses can be designed to be orthogonal, corresponding to signaling on independent degrees of freedom. However, in systems with super-Nyquist signaling, the symbol rate is chosen to be significantly higher than the channel bandwidth, resulting in a transmission with self-interference, whose effects can be compensated through the use of appropriate equalization. The investigation develops the role of super-Nyquist coding in a range of network scenarios, starting from simple point-to-point intersymbol-interference channel models, and progressing to richer multi-input/multi-output, multiple-access, and interference channel models. The research emphasizes the special role that such signaling plays in joint design of the physical and link layers in the protocol stack. Dual problems in source coding are also explored.