The golden ratio encoder

Journal Article (Journal Article)

This paper proposes a novel Nyquist-rate analog-to-digital (A/D) conversion algorithm which achieves exponential accuracy in the bit-rate despite using imperfect components. The proposed algorithm is based on a robust implementation of a beta-encoder with β = φ =(1+ √5)/2, the golden ratio. It was previously shown that beta-encoders can be implemented in such a way that their exponential accuracy is robust against threshold offsets in the quantizer element. This paper extends this result by allowing for imperfect analog multipliers with imprecise gain values as well. Furthermore, a formal computational model for algorithmic encoders and a general test bed for evaluating their robustness is proposed. © 2010 IEEE.

Full Text

Duke Authors

Cited Authors

  • Daubechies, I; Güntürk, CS; Wang, Y; Yilmaz, O

Published Date

  • October 1, 2010

Published In

Volume / Issue

  • 56 / 10

Start / End Page

  • 5097 - 5110

International Standard Serial Number (ISSN)

  • 0018-9448

Digital Object Identifier (DOI)

  • 10.1109/TIT.2010.2059750

Citation Source

  • Scopus