亚奈奎斯特采样：桥接理论与实践
Sub-Nyquist Sampling: Bridging Theory and Practice
摘要：
采样理论包括与连续时间信号到离散数字流的转换相关的所有方面。著名的Shannon-Nyquist定理已成为数字信号处理发展的一个里程碑。在现代应用中，越来越多的功能被推进到复杂的软件算法中，只剩下那些精细的电路级任务。在本文中，我们审查的采样策略，目标是降低ADC速率低于奈奎斯特。我们的调查涵盖了从上世纪50年代初到最近几年出版的经典作品。主要的重点是弥合理论和实践，也就是说，找出从数学到硬件的亚奈奎斯特策略的潜力。本着这种精神，我们整合了当代的理论观点，研究子空间联盟中的信号建模，以及实践方面的味道，即先锋形态如何归结为具体的信号处理系统。我们希望这种演示风格将吸引研究人员和工程师的兴趣，希望将亚奈奎斯特前提推广到实际应用中，并鼓励进一步研究这一令人兴奋的新领域。
英文摘要：
Sampling theory encompasses all aspects related to the conversion of continuous-time signals to discrete streams of numbers. The famous Shannon-Nyquist theorem has become a landmark in the development of digital signal processing. In modern applications, an increasingly number of functions is being pushed forward to sophisticated software algorithms, leaving only those delicate finely-tuned tasks for the circuit level. In this paper, we review sampling strategies which target reduction of the ADC rate below Nyquist. Our survey covers classic works from the early 50's of the previous century through recent publications from the past several years. The prime focus is bridging theory and practice, that is to pinpoint the potential of sub-Nyquist strategies to emerge from the math to the hardware. In that spirit, we integrate contemporary theoretical viewpoints, which study signal modeling in a union of subspaces, together with a taste of practical aspects, namely how the avant-garde modalities boil down to concrete signal processing systems. Our hope is that this presentation style will attract the interest of both researchers and engineers in the hope of promoting the sub-Nyquist premise into practical applications, and encouraging further research into this exciting new frontier.
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