Scholars@Duke

Interpolation of bandlimited functions from quantized irregular samples

Publication ,  Conference
Cvetković, Z; Daubechies, I; Logan, BF
Published in: Data Compression Conference Proceedings
January 1, 2002
Published version (DOI)

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.

Duke Scholars

Ingrid Daubechies
Author Ingrid Daubechies Mathematics

Published In

Data Compression Conference Proceedings

DOI

10.1109/DCC.2002.999981

ISSN

1068-0314

Publication Date

January 1, 2002

Volume

2002-January

Start / End Page

412 / 421
 

Citation

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MLA
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Cvetković, Z., Daubechies, I., & Logan, B. F. (2002). Interpolation of bandlimited functions from quantized irregular samples. In Data Compression Conference Proceedings (Vol. 2002-January, pp. 412–421). https://doi.org/10.1109/DCC.2002.999981
Cvetković, Z., I. Daubechies, and B. F. Logan. “Interpolation of bandlimited functions from quantized irregular samples.” In Data Compression Conference Proceedings, 2002-January:412–21, 2002. https://doi.org/10.1109/DCC.2002.999981.
Cvetković Z, Daubechies I, Logan BF. Interpolation of bandlimited functions from quantized irregular samples. In: Data Compression Conference Proceedings. 2002. p. 412–21.
Cvetković, Z., et al. “Interpolation of bandlimited functions from quantized irregular samples.” Data Compression Conference Proceedings, vol. 2002-January, 2002, pp. 412–21. Scopus, doi:10.1109/DCC.2002.999981.
Cvetković Z, Daubechies I, Logan BF. Interpolation of bandlimited functions from quantized irregular samples. Data Compression Conference Proceedings. 2002. p. 412–421.

Published In

Data Compression Conference Proceedings

DOI

10.1109/DCC.2002.999981

ISSN

1068-0314

Publication Date

January 1, 2002

Volume

2002-January

Start / End Page

412 / 421