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  1. Home
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  3. Wavelets in Physics
  • Cited by 45
Publisher:
Cambridge University Press
Online publication date:
January 2010
Print publication year:
1999
Online ISBN:
9780511613265
DOI:
https://doi.org/10.1017/CBO9780511613265
Subjects:
Physics and Astronomy, Statistics for Physical Sciences and Engineering, Mathematical Methods, Statistics and Probability
Information

Book description

This book surveys the application of the recently developed technique of the wavelet transform to a wide range of physical fields, including astrophysics, turbulence, meteorology, plasma physics, atomic and solid state physics, multifractals occurring in physics, biophysics (in medicine and physiology) and mathematical physics. The wavelet transform can analyze scale-dependent characteristics of a signal (or image) locally, unlike the Fourier transform, and more flexibly than the windowed Fourier transform developed by Gabor fifty years ago. The continuous wavelet transform is used mostly for analysis, but the discrete wavelet transform allows very fast compression and transmission of data and speeds up numerical calculation, and is applied, for example, in the solution of partial differential equations in physics. This book will be of interest to graduate students and researchers in many fields of physics, and to applied mathematicians and engineers interested in physical application.

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Contents

Contents
  • 10 - Wavelets in medicine and physiology
    pp 391-420
    • By P. Ch. Ivanov, Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA, A.L. Goldberger, Cardiovascular Division, Harvard Medical School, Beth Israel Hospital, Boston, MA 02215, USA, S. Havlin, Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA; Gonda-Goldschmid Center and Department of Physics Bar-Ilan University, Ramat-Gan 52900, Israel, C.-K. Peng, Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA; Cardiovascular Division, Harvard Medical School, Beth Israel Hospital, Boston, MA 02215, USA, M. G. Rosenblum, Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA, H. E. Stanley, Center for Polymer Studies and Department of Physics, Boston University, Boston, MA 02215, USA

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