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

Z Cvetkovic; I Daubechies; B F Logan

doi:10.1109/TIT.2007.907508

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

Z Cvetkovic, I Daubechies, B F Logan

Research output: Contribution to journal › Article › peer-review

49 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	3979 - 3989
Number of pages	11
Journal	IEEE TRANSACTIONS ON INFORMATION THEORY
Volume	53
Issue number	11
DOIs	https://doi.org/10.1109/TIT.2007.907508
Publication status	Published - Nov 2007

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title = "Single-bit oversampled A/D conversion with exponential accuracy in the bit rate",

abstract = "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",

author = "Z Cvetkovic and I Daubechies and Logan, {B F}",

year = "2007",

month = nov,

doi = "10.1109/TIT.2007.907508",

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AU - Daubechies, I

AU - Logan, B F

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N2 - 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

AB - 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

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EP - 3989

JO - IEEE TRANSACTIONS ON INFORMATION THEORY

JF - IEEE TRANSACTIONS ON INFORMATION THEORY

IS - 11

ER -

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

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