Maximal gap of a sampling set for the exact iterative reconstruction algorithm in shift invariant spaces

Author

Chen, Wen ; Han, Bin ; Jia, Rong-Qing

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Alberta, Edmonton, Alta., Canada

Volume

11

Issue

8

fYear

2004

Firstpage

655

Lastpage

658

Abstract

A conventional A/D converter prefilters a signal by an ideal lowpass filter and performs sampling for bandlimited signals by the Nyquist sampling rate. Recent research reveals that A/D conversion in a shift invariant space provides more flexible choices for designing a practical A/D conversion system of high accuracy. This paper focuses on the maximal gap of a sampling set for the iterative algorithm in shift invariant spaces, which provides an explicit formula to calculate the maximal gap of a sampling set in terms of a generator of the undertaken shift invariant spaces.

Keywords

analogue-digital conversion; bandlimited signals; digital communication; iterative methods; signal reconstruction; signal sampling; A/D conversion; analogue-to-digital conversion; bandlimited signals; iterative reconstruction algorithm; nonuniform sampling; sampling set maximal gap; shift invariant space; Cutoff frequency; Digital communication; Digital signal processing; Filters; Iterative algorithms; Nonuniform sampling; Reconstruction algorithms; Sampling methods; Signal processing; Signal sampling; A/D conversion; maximal gap; nonuniform sampling; prefilter; sampling set; shift invariant space;

fLanguage

English

Journal_Title

Signal Processing Letters, IEEE

Publisher

ieee

ISSN

1070-9908

Type

jour

DOI

10.1109/LSP.2004.831721

Filename

1316878