Interpolation of bandlimited functions from quantized irregular samples

Author

Cvetkovi, Zoran ; Daubechies, Ingrid ; Logan, Benjamin F.

fYear

2002

fDate

2002

Firstpage

412

Lastpage

421

Abstract

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

Keywords

bandlimited signals; binary sequences; interpolation; low-pass filters; quantisation (signal); signal reconstruction; signal sampling; A/D conversion; Lagrangian interpolation; average uniform density; bandlimited functions; irregular sequence; linear low-pass filtering; oversampled analog-to-digital conversion; pi-bandlimited signal; quantized irregular samples; sample estimation; signal reconstruction; Analog-digital conversion; Costs; Interpolation; Lagrangian functions; Predictive models; Quantization; Signal analysis; Signal resolution; Signal sampling; Statistical analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Data Compression Conference, 2002. Proceedings. DCC 2002

ISSN

1068-0314

Print_ISBN

0-7695-1477-4

Type

conf

DOI

10.1109/DCC.2002.999981

Filename

999981