Rational resolution decompositions for signal processing

Author

Anderson, Bruce P. ; Warhola, Gregory T.

Author_Institution

Dept. of Electr. Eng., Wright Res. & Dev. Center, Wright-Patterson AFB, OH, USA

Volume

2

fYear

1994

fDate

31 Oct-2 Nov 1994

Firstpage

938

Abstract

In this paper we present the concept of a rational resolution analysis (RRA) which is similar to the M-dilation MRAs, except we allow M to be a positive rational number. The RRA is developed by relaxing the requirement that the successive approximation spaces be embedded. This requires a slightly more complicated scheme for reconstruction and it limits the choices of scaling functions and wavelets which can be used. For discrete-time signal processing, the RRA provides a rational sampling rate change with specific requirements imposed upon the anti-aliasing filter

Keywords

discrete time filters; signal reconstruction; wavelet transforms; M-dilation MRAs; anti-aliasing filter; discrete-time signal processing; dyadic multiresolution analyses; positive rational number; rational resolution decompositions; rational sampling rate; reconstruction; scaling functions; signal processing; wavelets; Filter bank; Mathematics; Multiresolution analysis; Pressing; Signal analysis; Signal processing; Signal resolution; Signal sampling; Statistical analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Signals, Systems and Computers, 1994. 1994 Conference Record of the Twenty-Eighth Asilomar Conference on

Conference_Location

Pacific Grove, CA

ISSN

1058-6393

Print_ISBN

0-8186-6405-3

Type

conf

DOI

10.1109/ACSSC.1994.471598

Filename

471598