Wavelets: Theory and Applications

Francesca Pedrazzoli

ISBN 10: 3330778350 / ISBN 13: 9783330778351

Verlag: Edizioni Accademiche Italiane Dez 2016, 2016

Beschreibung

Neuware -Wavelet analysis had its origins in the middle of eighties: from the very beginning, it was driven by application needs; the development and advancement of the theory came through the efforts of mathematicians with a variety of backgrounds and specialties, and of engineers and scientists with an eye for better solutions and models in their applications. In late 1970s, Jean Morlet, a french geophysical engineer, in order to find oil deposits via geoexploration, had to analyze the echos of signals; these seismic waves consisted of wide low-frequency areas and shorter timespanned high-frequency components. The classical Fourier and windowed Fourier analysis were lacking of tools to gain time-resolution ad hoc. Thus, he came up with the ingenious idea of using different window functions for analysing different frequency bands. He generated the transform blocks by compression and dilation in time of a given function, followed by translation: 'wavelets' were born!VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 104 pp. Englisch.

Bestandsnummer des Verkäufers 9783330778351

Bibliografische Details

• Titel: Wavelets: Theory and Applications
• Verlag: Edizioni Accademiche Italiane Dez 2016
• Erscheinungsjahr: 2016
• Sprache: Englisch
• ISBN-10: 3330778350
• ISBN-13: 9783330778351
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

Wavelet analysis had its origins in the middle of eighties: from the very beginning, it was driven by application needs; the development and advancement of the theory came through the efforts of mathematicians with a variety of backgrounds and specialties, and of engineers and scientists with an eye for better solutions and models in their applications. In late 1970s, Jean Morlet, a french geophysical engineer, in order to find oil deposits via geoexploration, had to analyze the echos of signals; these seismic waves consisted of wide low-frequency areas and shorter timespanned high-frequency components. The classical Fourier and windowed Fourier analysis were lacking of tools to gain time-resolution ad hoc. Thus, he came up with the ingenious idea of using different window functions for analysing different frequency bands. He generated the transform blocks by compression and dilation in time of a given function, followed by translation: "wavelets" were born!

Über die Autorin bzw. den Autor

Francesca Pedrazzoli, born in Modena on the 13th October 1992, got her Bachelor Degree in Mathematics, cum laude, in Modena in 2014. Afterwards, she moved to Turin to attend a Master in Mathematics and she graduated cum laude and mention in 2016, with a final dissertation on orthonormal wavelets and their applications.