Unlimited Sampling From Theory to Practice: Fourier-Prony Recovery and Prototype ADC
Unlimited Sampling From Theory to Practice: Fourier-Prony Recovery and Prototype ADC
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DOI：
10.1109/tsp.2021.3113497
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发表时间：
2021-05
影响因子：
5.4
通讯作者：
Ayush Bhandari;F. Krahmer;T. Poskitt
中科院分区：
文献类型：
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作者：
Ayush Bhandari;F. Krahmer;T. Poskitt
在无限采样策略，以减轻无所不在的动态范围的障碍，我们研究了从逐点模样本恢复带限信号的问题，旨在连接理论保证与硬件实现的考虑。我们的出发点是一类非理想的，我们观察到在原型无限采样为基础的模数转换器。为了解决这些非理想性，我们提供了一种新的傅立叶域恢复算法。我们的方法在理论上和通过我们的原型模数转换器的广泛的实验进行验证，提供了第一个演示的无限采样数据所产生的真实的硬件，无论是当前和以前的方法。我们的算法的优点包括，它是不可知的模阈值，它可以处理任意折叠次数。我们期望本文研究的端到端实现将为探索真实的世界应用中的无限采样方法铺平道路。
Following the Unlimited Sampling strategy to alleviate the omnipresent dynamic range barrier, we study the problem of recovering a bandlimited signal from point-wise modulo samples, aiming to connect theoretical guarantees with hardware implementation considerations. Our starting point is a class of non-idealities that we observe in prototyping an unlimited sampling based analog-to-digital converter. To address these non-idealities, we provide a new Fourier domain recovery algorithm. Our approach is validated both in theory and via extensive experiments on our prototype analog-to-digital converter, providing the first demonstration of unlimited sampling for data arising from real hardware, both for the current and previous approaches. Advantages of our algorithm include that it is agnostic to the modulo threshold and it can handle arbitrary folding times. We expect that the end-to-end realization studied in this paper will pave the path for exploring the unlimited sampling methodology in a number of real world applications.