Wavelets in Geodesy and Geodynamics (eBook)

Wolfgang Keller (Autor)

eBook Download: PDF

2004
289 Seiten
De Gruyter (Verlag)
978-3-11-019818-8 (ISBN)

Infos

For many years, digital signal processing has been governed by the theory of Fourier transform and its numerical implementation. The main disadvantage of Fourier theory is the underlying assumption that the signals have time-wise or space-wise invariant statistical properties. In many applications the deviation from a stationary behavior is precisely the information to be extracted from the signals. Wavelets were developed to serve the purpose of analysing such instationary signals.

The book gives an introduction to wavelet theory both in the continuous and the discrete case. After developing the theoretical fundament, typical examples of wavelet analysis in the Geosciences are presented.

The book has developed from a graduate course held at The University of Calgary and is directed to graduate students who are interested in digital signal processing. The reader is assumed to have a mathematical background on the graduate level.

Inhalt

Frontmatter 1
Contents 7
1. Fourier analysis and filtering 11
2. Wavelets 34
3. Applications 141
A. Hilbert spaces 227
B. Distributions 248
Backmatter 255

Produkt-Details

• Erscheint lt. Verlag: 22.8.2008
• Zusatzinfo: 130 b/w ill.
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Geologie
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Geophysik
• Themenwelt: Technik
• Schlagworte: Digitale Bildverarbeitung • Digitale Signalverarbeitung • Fouriertransformation • Wavelets (Mathematics)
• ISBN-10: 3-11-019818-5 / 3110198185
• ISBN-13: 978-3-11-019818-8 / 9783110198188