Interpolation of bandlimited functions from quantized irregular samples

Conference Paper

The problem of reconstructing a π-bandlimited signal f from its quantized samples taken at an irregular sequence of points (tk)k∈ZZ arises in oversampled analog-to-digital conversion. The input signal can be reconstructed from the quantized samples (f(tk))k∈ZZ by estimating samples (f(n/λ))n∈ZZ, where λ is the average uniform density of the sequence (tk)k∈ZZ, assumed here to be greater than one, followed by linear low-pass filtering. We study three techniques for estimating samples (f(n/λ))n∈ZZ from quantized irregular samples (f(tk))k∈ZZ, including Lagrangian interpolation, and two other techniques which result in a better overall accuracy of oversampled A/D conversion.

Full Text

Duke Authors

Cited Authors

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

Published Date

  • January 1, 2002

Published In

Volume / Issue

  • 2002-January /

Start / End Page

  • 412 - 421

International Standard Serial Number (ISSN)

  • 1068-0314

International Standard Book Number 10 (ISBN-10)

  • 0769514774

Digital Object Identifier (DOI)

  • 10.1109/DCC.2002.999981

Citation Source

  • Scopus