Filterbank reconstruction of bandlimited signals from nonuniform and generalized samples

Author

Eldar, Yonina C. ; Oppenheim, Alan V.

Author_Institution

Res. Lab. of Electron., MIT, Cambridge, MA, USA

Volume

48

Issue

10

fYear

2000

fDate

10/1/2000 12:00:00 AM

Firstpage

2864

Lastpage

2875

Abstract

This paper introduces a filterbank interpretation of various sampling strategies, which leads to efficient interpolation and reconstruction methods. An identity, which is referred to as the interpolation identity, is developed and is used to obtain particularly efficient discrete-time systems for interpolation of generalized samples as well as a class of nonuniform samples, to uniform Nyquist samples, either for further processing in that form or for conversion to continuous time. The interpolation identity also leads to new sampling strategies including an extension of Papoulis´ (1977) generalized sampling expansion

Keywords

bandlimited signals; continuous time filters; interpolation; sampled data filters; signal reconstruction; signal sampling; bandlimited signals; continuous time; discrete-time systems; filterbank reconstruction; generalized samples; generalized sampling expansion; interpolation identity; nonuniform samples; sampling strategies; uniform Nyquist samples; Data acquisition; Digital signal processing; Filter bank; Interpolation; Iterative algorithms; Nonuniform sampling; Reconstruction algorithms; Sampling methods; Signal processing; Signal sampling;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.869037

Filename

869037