A Modulo-Based Architecture for Analog-to-Digital Conversion
Name
1806.08968.pdf
Description
Submitted version
Size
540.29 KB
Format
Unknown
Checksum (MD5)
0dbc6de99ac38e806d07a1327dc88a03
Author(s)
Ordentlich, Or
Tabak, Gizem
Hanumolu, Pavan Kumar
Singer, Andrew C
Wornell, Gregory W
Date Issued
2018
Journal
IEEE Journal on Selected Topics in Signal Processing
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Version
Original manuscript
Abstract
© 2007-2012 IEEE. Systems that capture and process analog signals must first acquire them through an analog-to-digital converter. While subsequent digital processing can remove statistical correlations present in the acquired data, the dynamic range of the converter is typically scaled to match that of the input analog signal. The present paper develops an approach for analog-to-digital conversion that aims at minimizing the number of bits per sample at the output of the converter. This is attained by reducing the dynamic range of the analog signal by performing a modulo operation on its amplitude, and then quantizing the result. While the converter itself is universal and agnostic of the statistics of the signal, the decoder operation on the output of the quantizer can exploit the statistical structure in order to unwrap the modulo folding. The performance of this method is shown to approach information theoretical limits, as captured by the rate-distortion function, in various settings. An architecture for modulo analog-to-digital conversion via ring oscillators is suggested, and its merits are numerically demonstrated.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1109/JSTSP.2018.2863189
