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One-Bit Unlimited Sampling


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

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

Document Files




[1] Felix Krahmer, "One-Bit Unlimited Sampling", IEEE SigPort, 2019. [Online]. Available: Accessed: Dec. 09, 2019.
url = {},
author = {Felix Krahmer },
publisher = {IEEE SigPort},
title = {One-Bit Unlimited Sampling},
year = {2019} }
T1 - One-Bit Unlimited Sampling
AU - Felix Krahmer
PY - 2019
PB - IEEE SigPort
UR -
ER -
Felix Krahmer. (2019). One-Bit Unlimited Sampling. IEEE SigPort.
Felix Krahmer, 2019. One-Bit Unlimited Sampling. Available at:
Felix Krahmer. (2019). "One-Bit Unlimited Sampling." Web.
1. Felix Krahmer. One-Bit Unlimited Sampling [Internet]. IEEE SigPort; 2019. Available from :