Single-bit oversampled A/D conversion with exponential accuracy in the bit rate

Journal Article (Journal Article)

A scheme for simple oversampled analog-to-digital (A/D) conversion using single-bit quantization is presented. The scheme is based on recording positions of zero-crossings of the input signal added to a deterministic dither function. This information can be represented in a manner such that the bit rate increases only logarithmically with the oversampling factor r. The input band-limited signal can be reconstructed from this information locally with O(1/r) pointwise error, resulting in an exponentially decaying distortion-rate characteristic. In the course of studying the accuracy of the proposed A/D conversion scheme, some new results are established about reconstruction of band-limited signals from irregular samples using linear combination of functions with fast decay. Schemes for local interpolation of band-limited signals from quantized irregular samples are also proposed. © 2007 IEEE.

Full Text

Duke Authors

Cited Authors

  • Cvetkovic, Z; Daubechies, I; Logan, BF

Published Date

  • November 1, 2007

Published In

Volume / Issue

  • 53 / 11

Start / End Page

  • 3979 - 3989

International Standard Serial Number (ISSN)

  • 0018-9448

Digital Object Identifier (DOI)

  • 10.1109/TIT.2007.907508

Citation Source

  • Scopus