CIF: Small: Fundamental Performance Limits And Design Techniques For Sub-Sampled Communication Systems

目前的无线电接收机设计在速度和能源效率方面正在突破模数转换和数字信号处理技术的界限。这些技术限制是将有前途的宽带和节能接收器设计范例从理论转化为实践的主要瓶颈。该项目调查是否可以通过设计以低于奈奎斯特速率采样的数字通信系统接收器来绕过这些瓶颈。通过低于奈奎斯特速率的采样，当前的技术可以用于超宽带通信系统，并且能量消耗可以显著低于奈奎斯特速率采样所需的能耗。该研究通过探索单用户和多用户下采样信道的基本容量限制以及达到这些限制的最优采样机制，将香农理论和采样理论结合在一起。此外，该项目将扩展亚采样通信的思想，以确定当信源和信道都欠采样时，亚采样信源的率失真权衡以及联合信源-信道编码。拟议的活动将通过探索电气工程中两个重要领域：信号处理和信息理论的交叉领域的一个重要和未回答的问题，加深对受硬件限制的通信系统设计的理解。所提出的工作结果可以实现用于60 GHz宽带通信和认知无线电的低复杂度高性能无线电设计。此外，这些结果影响了其他工程系统，如雷达、光学系统、医学成像等，因为在拟议的研究中开发的数学机械和硬件见解可以为需要降低速率采样和处理的相关领域提供重要的见解。拟议活动产生的更广泛影响将包括在宽带、认知和节能无线电设计方面超越当前技术水平的通信能力的显著增强。宽带无线电对于满足多媒体无线通信，特别是视频通信的巨大需求至关重要。认知无线电能够更有效地利用有限的可用无线电频谱。此外，迫切需要设计能耗最低的通信系统，特别是传感器网络，这将使智能建筑成为可能，增强国土安全，并提高我们电网的可靠性和健壮性。

Current radio receiver designs are pushing the boundaries of Analog-to-Digital conversion and digital signal processing technology in terms of speed and energy efficiency. These technology limitations present a major bottleneck in transferring promising wideband and energy-efficient receiver design paradigms from theory to practice. This project investigates whether these bottlenecks can be circumvented by designing digital communication system receivers that are sampled at sub-Nyquist rates. By sampling below the Nyquist rate, current technology can be used for very wideband communication systems and energy consumption can be significantly reduced below that required for Nyquist-rate sampling. The proposed research brings together the areas of Shannon theory and sampling theory by exploring the fundamental capacity limits of single-user and multi-user subsampled channels as well as the optimal sampling mechanisms that achieve these limits. In addition, the project will extend the ideas of sub-sampled communication to determine the rate-distortion trade-off of sub-sampled sources along with joint source-channel coding when both the source and channel are undersampled. The proposed activity will develop a broader understanding of communication system design subject to hardware constraints by exploring an important and unanswered question at the intersection of two important fields within electrical engineering: signal processing and information theory. The results of the proposed work can enable low-complexity high-performance radio designs for 60 GHz wideband communications and for cognitive radios. Furthermore, these results impact other engineering systems such as radar, optical systems, medical imaging and more, since the mathematical machinery and hardware insights developed in the proposed research can provide important insights into related areas in which reduced rate sampling and processing is needed.The broader impacts resulting from the proposed activity will include significant enhancement of the communications capabilities beyond the current state of the art in wideband, cognitive, and energy-efficient radio design. Wideband radios are of key importance to meet the significant demand for multimedia wireless communications, especially video. Cognitive radios have the ability to more efficiently utilize the limited available radio spectrum. In addition, there is a great need to design communication systems that consume minimal energy, especially sensor networks, which have application to enable smart buildings, enhance homeland security, and improve the reliability and robustness of our power grid.