Skip to main content

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

Publication ,  Journal Article
Cvetkovic, Z; Daubechies, I; Logan, BF
Published in: IEEE Transactions on Information Theory
November 1, 2007

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.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

IEEE Transactions on Information Theory

DOI

ISSN

0018-9448

Publication Date

November 1, 2007

Volume

53

Issue

11

Start / End Page

3979 / 3989

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Cvetkovic, Z., Daubechies, I., & Logan, B. F. (2007). Single-bit oversampled A/D conversion with exponential accuracy in the bit rate. IEEE Transactions on Information Theory, 53(11), 3979–3989. https://doi.org/10.1109/TIT.2007.907508
Cvetkovic, Z., I. Daubechies, and B. F. Logan. “Single-bit oversampled A/D conversion with exponential accuracy in the bit rate.” IEEE Transactions on Information Theory 53, no. 11 (November 1, 2007): 3979–89. https://doi.org/10.1109/TIT.2007.907508.
Cvetkovic Z, Daubechies I, Logan BF. Single-bit oversampled A/D conversion with exponential accuracy in the bit rate. IEEE Transactions on Information Theory. 2007 Nov 1;53(11):3979–89.
Cvetkovic, Z., et al. “Single-bit oversampled A/D conversion with exponential accuracy in the bit rate.” IEEE Transactions on Information Theory, vol. 53, no. 11, Nov. 2007, pp. 3979–89. Scopus, doi:10.1109/TIT.2007.907508.
Cvetkovic Z, Daubechies I, Logan BF. Single-bit oversampled A/D conversion with exponential accuracy in the bit rate. IEEE Transactions on Information Theory. 2007 Nov 1;53(11):3979–3989.

Published In

IEEE Transactions on Information Theory

DOI

ISSN

0018-9448

Publication Date

November 1, 2007

Volume

53

Issue

11

Start / End Page

3979 / 3989

Related Subject Headings

  • Networking & Telecommunications
  • 4613 Theory of computation
  • 4006 Communications engineering
  • 1005 Communications Technologies
  • 0906 Electrical and Electronic Engineering
  • 0801 Artificial Intelligence and Image Processing