The surprising benefits of hysteresis in unlimited sampling: theory, algorithms and experiments
File(s)
Accepted version
Author(s)
Florescu, Dorian
Krahmer, Felix
Bhandari, Ayush
Type
Journal Article
Abstract
The Unlimited Sensing Framework (USF) was recently introduced to overcome the sensor saturation bottleneck in conventional digital acquisition systems. At its core, the USF converts a continuous-time high-dynamic-range (HDR) signal into folded, low-dynamic-range, modulo samples and allows the recovery of the HDR signal via algorithmic unfolding. In hardware, however, implementing ideal modulo folding requires careful calibration, analog design and high precision. At the interface of theory and practice, this paper explores a computational sampling strategy that relaxes strict hardware requirements via a novel, mathematically guaranteed reconstruction. We start with a generalized model for USF with two new parameters modeling hysteresis and folding transients in addition to the modulo threshold. Hysteresis accounts for mismatches between the reset threshold and the amplitude displacement at the folding time and the folding transient is a continuous transition period in the implementation of a reset. Both these effects are motivated by our hardware experiments and also occur in previous, domain-specific applications. We show that hysteresis is beneficial for USF and leverage it to derive the first recovery guarantees in the context of our generalized USF model for a certain sampling rate regime. Additionally, we show how the sampling rate requirement can be greatly reduced via a direct generalization of the proposed recovery. Our theoretical work is corroborated by hardware experiments with a hysteresis enabled, modulo ADC testbed comprising off-the-shelf electronic components. Thus, by capitalizing on a collaboration between hardware and algorithms, our paper enables an end-to-end pipeline for HDR sampling allowing more flexible hardware implementations.
Date Issued
2022-01-13
Date Acceptance
2022-01-07
Citation
IEEE Transactions on Signal Processing, 2022, 70, pp.616-630
ISSN
1053-587X
Publisher
Institute of Electrical and Electronics Engineers
Start Page
616
End Page
630
Journal / Book Title
IEEE Transactions on Signal Processing
Volume
70
Copyright Statement
Copyright © 2022 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.
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000752010000003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
Analog-to-digital conversion (ADC)
Data models
Engineering
Engineering, Electrical & Electronic
Hardware
HDR sensing
Hysteresis
Mathematical models
modulo sampling
Science & Technology
Sensors
Shannon sampling theory
Signal processing algorithms
Technology
thresholding
Transient analysis
Publication Status
Published