Localization of the complex spectrum: the S transform

Author

Stockwell, R.G. ; Mansinha, L. ; Lowe, R.P.

Author_Institution

Dept. of Phys., Univ. of Western Ontario, London, Ont., Canada

Volume

44

Issue

4

fYear

1996

fDate

4/1/1996 12:00:00 AM

Firstpage

998

Lastpage

1001

Abstract

The S transform, which is introduced in the present correspondence, is an extension of the ideas of the continuous wavelet transform (CWT) and is based on a moving and scalable localizing Gaussian window. It is shown to have some desirable characteristics that are absent in the continuous wavelet transform. The S transform is unique in that it provides frequency-dependent resolution while maintaining a direct relationship with the Fourier spectrum. These advantages of the S transform are due to the fact that the modulating sinusoids are fixed with respect to the time axis, whereas the localizing scalable Gaussian window dilates and translates

Keywords

Fourier transforms; Gaussian processes; signal resolution; spectral analysis; wavelet transforms; Fourier spectrum; S transform; complex spectrum; continuous wavelet transform; frequency-dependent resolution; modulating sinusoids; moving scalable localizing Gaussian window; time axis; Continuous wavelet transforms; Data analysis; Earthquakes; Fourier transforms; Frequency; Seismology; Signal detection; Signal processing; Signal resolution; Wavelet transforms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.492555

Filename

492555