MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
  • DSpace@MIT Home
  • MIT Open Access Articles
  • MIT Open Access Articles
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Scalar quantization with noisy partitions and its application to Flash ADC design

Author(s)
Wang, Da; Polyanskiy, Yury; Wornell, Gregory W.
Thumbnail
DownloadWornell_Scalar quantization.pdf (309.3Kb)
OPEN_ACCESS_POLICY

Open Access Policy

Creative Commons Attribution-Noncommercial-Share Alike

Terms of use
Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/
Metadata
Show full item record
Abstract
Motivated by recent circuit designs for Flash ADCs with imperfect comparators, we investigate the problem of scalar quantization with noisy partition points, where the partition point locations are perturbed from the designated values by noise during the placement process. For this problem setting, we derive a high resolution approximation for mean square error, and analyze the optimal partition point density accordingly. Our results indicate that it is necessary to take the effect of noise into account in the design process. In particular, we derive the optimal partition point density when the input distribution is Gaussian or uniform, and show when noise variance exceeds a certain threshold, a peculiar phase transition occurs and the optimal point density degenerates into a delta function at the origin. These theoretical results allow to optimize the design of flash ADCs and gain 1 bit in resolution over existing designs.
Date issued
2014-06
URI
http://hdl.handle.net/1721.1/91134
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Journal
Proceedings of the 2014 IEEE International Symposium on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Citation
Wang, Da, Yury Polyanskiy, and Gregory Wornell. “Scalar Quantization with Noisy Partitions and Its Application to Flash ADC Design.” 2014 IEEE International Symposium on Information Theory (June 2014).
Version: Author's final manuscript
ISBN
978-1-4799-5186-4

Collections
  • MIT Open Access Articles

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.