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Unlimited sampling from theory to practice: fourier-prony recovery and prototype ADC

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Title: Unlimited sampling from theory to practice: fourier-prony recovery and prototype ADC
Authors: Bhandari, A
Krahmer, F
Poskitt, T
Item Type: Journal Article
Abstract: 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.
Issue Date: 20-Sep-2021
Date of Acceptance: 18-Aug-2021
URI: http://hdl.handle.net/10044/1/91952
DOI: 10.1109/tsp.2021.3113497
ISSN: 1053-587X
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Start Page: 1131
End Page: 1141
Journal / Book Title: IEEE Transactions on Signal Processing
Volume: 70
Copyright Statement: © 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Sponsor/Funder: UK Research and Innovation council
Funder's Grant Number: Future Leaders Fellowship
Keywords: Science & Technology
Technology
Engineering, Electrical & Electronic
Engineering
Hardware
Prototypes
Signal processing algorithms
Image reconstruction
Discrete Fourier transforms
Sensors
Dynamic range
Analog-to-digital
modulo
non-linear recon- struction
Shannon sampling
Prony's method
super-resolution
Networking & Telecommunications
Publication Status: Published
Online Publication Date: 2021-09-20
Appears in Collections:Electrical and Electronic Engineering
Faculty of Engineering