New directions in sampling and multi-rate A-D conversion via number theoretic methods

Author

Casey, Stephen D. ; Sadle, Brian M.

Author_Institution

Dept. of Math. & Stat., American Univ., Washington, DC, USA

Volume

1

fYear

2000

fDate

2000

Firstpage

336

Abstract

Number theoretic methods have been used in the study of harmonic analysis to extend existing theories and develop new approaches to both theoretical and applied problems. A specific example of this approach is in the development of sampling theory on non-commensurate lattices. We will construct examples of these lattices, and use a generalization of B.Ya. Levin´s (1996) sine-type functions to develop interpolating formulae on these lattices. We then consider application of these new sampling results to multi-rate A-D conversion

Keywords

analogue-digital conversion; deconvolution; harmonic analysis; interpolation; lattice theory; number theory; signal sampling; harmonic analysis; interpolating formulae; multi-rate A-D conversion; multichannel deconvolution; non-commensurate lattices; number theoretic methods; sampling theory; sine-type functions; Convolution; Convolvers; Deconvolution; Equations; Harmonic analysis; Image sampling; Laboratories; Lattices; Sampling methods; Signal sampling;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2000. ICASSP '00. Proceedings. 2000 IEEE International Conference on

Conference_Location

Istanbul

ISSN

1520-6149

Print_ISBN

0-7803-6293-4

Type

conf

DOI

10.1109/ICASSP.2000.861965

Filename

861965