Beta expansions: A new approach to digitally corrected A/D conversion

Journal Article (Journal Article)

We introduce a new architecture for pipelined (and also algorithmic) A/D converters that give exponentially accurate conversion using inaccurate comparators. An error analysis of a sigma-delta converter with an imperfect comparator and a constant input reveals a self-correction property that is not inherited by the successive refinement quantization algorithm that underlies both pipelined multistage A/D converters as well as algorithmic A/D converters. Motivated by this example, we introduce a new A/D converter- the Beta Converter-which has the same self-correction property as a sigma-delta converter but which exhibits higher order (exponential) accuracy with respect to the bit rate as compared to a sigma-delta converter, which exhibits only polynomial accuracy.

Full Text

Duke Authors

Cited Authors

  • Daubechies, I; DeVore, R; Güntürk, CS; Vaishampayan, VA

Published Date

  • January 1, 2002

Published In

Volume / Issue

  • 2 /

Start / End Page

  • 784 - 787

International Standard Serial Number (ISSN)

  • 0271-4310

Digital Object Identifier (DOI)

  • 10.1109/ISCAS.2002.1011470

Citation Source

  • Scopus