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One-Bit Unlimited Sampling

Abstract: 

Conventional analog–to–digital converters (ADCs) are limited in dynamic range. If a signal exceeds some prefixed threshold, the ADC saturates and the resulting signal is clipped, thus becoming prone to aliasing artifacts. Recent developments in ADC design allow to overcome this limitation: using modulo operation, the so called self-reset ADCs fold amplitudes which exceed the dynamic range. A new (unlimited) sampling theory is currently being developed in the context of this novel class of ADCs. In this paper, we make a further step in this direction by coupling modulo sampling with one-bit Σ∆ quantization, or, in other words, consider one-bit unlimited sampling. We show that our scheme overcomes the dynamic range limitations of conventional one-bit quantizer, where no recovery guarantees are possible if the signal’s dynamic range substantially exceeds the range of its one-bit output. We provide a constructive recovery algorithm for bandlimited signals from one-bit modulo samples complemented with a bound on the reconstruction error.

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Paper Details

Authors:
Felix Krahmer
Submitted On:
14 May 2019 - 10:46am
Short Link:
Type:
Poster
Event:
Presenter's Name:
Olga Graf
Document Year:
2019
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Document Files

ICASSP19_GBK.pdf

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[1] Felix Krahmer, "One-Bit Unlimited Sampling", IEEE SigPort, 2019. [Online]. Available: http://sigport.org/4510. Accessed: May. 23, 2019.
@article{4510-19,
url = {http://sigport.org/4510},
author = {Felix Krahmer },
publisher = {IEEE SigPort},
title = {One-Bit Unlimited Sampling},
year = {2019} }
TY - EJOUR
T1 - One-Bit Unlimited Sampling
AU - Felix Krahmer
PY - 2019
PB - IEEE SigPort
UR - http://sigport.org/4510
ER -
Felix Krahmer. (2019). One-Bit Unlimited Sampling. IEEE SigPort. http://sigport.org/4510
Felix Krahmer, 2019. One-Bit Unlimited Sampling. Available at: http://sigport.org/4510.
Felix Krahmer. (2019). "One-Bit Unlimited Sampling." Web.
1. Felix Krahmer. One-Bit Unlimited Sampling [Internet]. IEEE SigPort; 2019. Available from : http://sigport.org/4510