Discrete scale transform for signal analysis

Author

Zalubas, Eugene J. ; Williams, William J.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

3

fYear

1995

fDate

9-12 May 1995

Firstpage

1557

Abstract

The scale transform introduced by Cohen (see IEEE Trans. Signal Processing, vo1.41, p.3275-3292, December 1993) is a special case of the Mellin transform. The scale transform has mathematical properties desirable for comparison of signals for which scale variation occurs. In addition to the scale invariance property of the Mellin transform many properties specific to the scale transform have been presented. A procedure is presented for complete implementation of the scale transformation for discrete signals. This complements discrete Mellin transforms and delineates steps whose implementation are specific to the scale transform

Keywords

signal processing; transforms; discrete Mellin transforms; discrete scale transform; discrete signals; mathematical properties; scale invariance property; scale transformation; scale variation; signal analysis; signals comparison; Contracts; Discrete Fourier transforms; Discrete transforms; Doppler effect; Equations; Fourier transforms; Interpolation; Sampling methods; Signal analysis; Signal generators;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on

Conference_Location

Detroit, MI

ISSN

1520-6149

Print_ISBN

0-7803-2431-5

Type

conf

DOI

10.1109/ICASSP.1995.479859

Filename

479859