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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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. It 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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Inside This Book
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First Sentence:
The reader might want to jump right into the book, but I decided to give a guided tour (which one may leave and rejoin at will of course) through the chapters, to whet the reader's taste. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
wavelet bicoherence, wavelet dimensions, wavelet energy spectrum, abnormal cardiac dynamics, turbulent velocity signal, analysing wavelet, inverse fractal problem, energy spectrum scaling, incoherent background flow, wavelet transform space, directional wavelets, adaptive wavelet method, multiscale vision model, new turbulence models, oscillating singularities, turbulence analysis, singularity spectrum, cross coherence, maxima lines, tree matching algorithm, transform modulus maxima, trous algorithm, wavelet packet coefficients, total enstrophy, similitude group Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Fluid Mech, Academic Press, World Scientific, San Diego, Cambridge University Press, Signal Proc, Applied Comput, Hubble Space Telescope, Albert Bijaoui, Catholique de Louvain, Conference Series, Oxford University Press, Pure Appl, San Francisco, Burke Hubbard, Englewood Cliffs, Frequency Fig, National Meteorological Center, North Pole, Plenum Press New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The reader might want to jump right into the book, but I decided to give a guided tour (which one may leave and rejoin at will of course) through the chapters, to whet the reader's taste. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
wavelet bicoherence, wavelet dimensions, wavelet energy spectrum, abnormal cardiac dynamics, turbulent velocity signal, analysing wavelet, inverse fractal problem, energy spectrum scaling, incoherent background flow, wavelet transform space, directional wavelets, adaptive wavelet method, multiscale vision model, new turbulence models, oscillating singularities, turbulence analysis, singularity spectrum, cross coherence, maxima lines, tree matching algorithm, transform modulus maxima, trous algorithm, wavelet packet coefficients, total enstrophy, similitude group Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Fluid Mech, Academic Press, World Scientific, San Diego, Cambridge University Press, Signal Proc, Applied Comput, Hubble Space Telescope, Albert Bijaoui, Catholique de Louvain, Conference Series, Oxford University Press, Pure Appl, San Francisco, Burke Hubbard, Englewood Cliffs, Frequency Fig, National Meteorological Center, North Pole, Plenum Press New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 24
books:
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19
books
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- Super-Intense Laser-Atom Physics (NATO Science Series B: Physics) by A. L'Huillier on page 337, and page 338
- Ten Lectures on Wavelets (CBMS-NSF Regional Conference Series in Applied Mathematics) by Ingrid Daubechies on page 73, and page 387
- Fractals and Disordered Systems by Armin Bunde on page 385
- Lyapunov Exponents (Lecture Notes in Mathematics) by L. Arnold Wihstutz on page 389
- Stochastic Processes in Physics and Engineering (Mathematics and Its Applications) by Sergio Albeverio on page 73
See all 24 books this book cites
- The World According to Wavelets: The Story of a Mathematical Technique in the Making, Second Edition by Barbara Burke Hubbard on 4 pages
- Mathematical Models and Methods for Real World Systems (Lecture Notes in Pure and Applied Mathematics) by K.M. Furati on page 170, and page 172
- IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow (Fluid Mechanics and Its Applications) by Alexander J. Smits on page 251
- Processes with Long-Range Correlations: Theory and Applications (Lecture Notes in Physics) (v. 621) by Govindan Rangarajan on page 370
- Wavelet Transforms & Time-Frequency Signal Analysis by Lokenath Debnath on page 217
See all 19 books citing this book
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