Download or read book Development of Wavelet Analysis Tools for Turbulence written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-02 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presented here is the general framework and the initial results of a joint effort to derive novel research tools and easy to use software to analyze and model turbulence and transition. Given here is a brief review of the issues, a summary of some basic properties of wavelets, and preliminary results. Technical aspects of the implementation, the physical conclusions reached at this time, and current developments are discussed. Bertelrud, A. and Erlebacher, G. and Dussouillez, PH. and Liandrat, M. P. and Liandrat, J. and Bailly, F. Moret and Tchamitchian, PH. Unspecified Center NAS1-18605; RTOP 505-90-52-01...
Download or read book Development of Wavelet Analysis Tools for Turbulence written by A. Bertelrud and published by . This book was released on 1992 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Development of Wavelet Analysi Tools for Turbulence written by A. Bertelrud and published by . This book was released on 1992 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wavelets written by Stephane Jaffard and published by SIAM. This book was released on 2001-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This long-awaited update of Meyer's Wavelets : algorithms and applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to Hölder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere.
Download or read book Wavelets in Geophysics written by Efi Foufoula-Georgiou and published by Academic Press. This book was released on 1994-09-02 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of wavelet analysis to the geophysical sciences grew from Jean Morlet's work on seismic signals in the 1980s. Used to detect signals against noise, wavelet analysis excels for transients or for spatiallylocalized phenomena. In this fourth volume in the renown WAVELET ANALYSIS AND ITS APPLICATIONS Series, Efi Foufoula-Georgiou and Praveen Kumar begin with a self-contained overview of the nature, power, and scope of wavelet transforms. The eleven originalpapers that follow in this edited treatise show how geophysical researchers are using wavelets to analyze such diverse phenomena as intermittent atmospheric turbulence, seafloor bathymetry, marine and other seismic data, and flow in aquifiers. Wavelets in Geophysics will make informative reading for geophysicists seeking an up-to-date account of how these tools are being used as well as for wavelet researchers searching for ideas for applications, or even new points of departure. Includes twelve original papers written by experts in the geophysical sciences Provides a self-contained overview of the nature, power, and scope of wavelet transforms Presents applications of wavelets to geophysical phenomena such as: The sharp events of seismic data, Long memory processes, such as fluctuation in the level of the Nile, A structure preserving decomposition of turbulence signals
Download or read book Wavelet Based Analysis and Software for Multi Scale Fractal Processes written by and published by . This book was released on 2000 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This final technical reporte summarizes the technical objectives, work accomplished, results, and technical feasibility. The primary objective of this research is to develop methodology and software for the analysis of atmospheric turbulence and related data. Turbulence data are challenging because they are inherently non-stationary across a range of scales. Because the discrete wavelet transform is a natural tool for use with non-stationary and scale-dependent data, we investigate the efficacy of a variety of wavelet-based techniques including approximate maximum likelihood and least squares estimators of power-law processes. These estimators are adapted to work effectively in the presence of (i) slow variations in the power-law parameters, (ii) large-scale stochastic trends and (iii) small-scale non-turbulent events. We examine the statistical properties of (most) wavelet-based power-law parameter estimators and develop corresponding confidence intervals. We also assess the efficacy of nonlinear deterministic models for turbulence data. All software was implemented in MathSoft's next generation S+WAVELETS module.
Download or read book Wavelets and their Applications written by Michel Misiti and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last 15 years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. As such, this title is intended for the wide audience that is interested in mastering the basic techniques in this subject area, such as decomposition and compression.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Demonstration of Wavelet Techniques in the Spectral Analysis of Bypass Transition Data written by Jacques Lewalle and published by . This book was released on 1997 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: A number of wavelet-based techniques for the analysis of experimental data are developed and illustrated. A multiscale analysis based on the Mexican hat wavelet is demonstrated as a tool for acquiring physical and quantitative information not obtainable by standard signal analysis methods. Experimental data for the analysis came from simultaneous hot-wire velocity traces in a bypass transition of the boundary layer on a heated flat plate. A pair of traces (two components of velocity) at one location was excerpted. A number of ensemble and conditional statistics related to dominant time scales for energy and momentum transport were calculated. The analysis revealed a lack of energy-dominant time scales inside turbulent spots but identified transport-dominant scales inside spots that account for the largest part of the Reynolds stress. Momentum transport was much more intermittent than were energetic fluctuations. This work is the first step in a continuing study of the spatial evolution of these scale-related statistics, the goal being to apply the multiscale analysis results to improve the modelling of transitional and turbulent industrial flows.
Download or read book Wavelets and Their Applications written by Mei Kobayashi and published by SIAM. This book was released on 1998-01-01 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of independent case studies demonstrates how wavelet techniques have been used to solve open problems and develop insight into the nature of the systems under study. Each case begins with a description of the problem and points to the specific properties of wavelets and techniques used for determining a solution. The cases range from a very simple wavelet-based technique for reducing noise in laboratory data to complex work on two-dimensional geographical data display conducted at the Earthquake Research Institute in Japan. One case study shows how wavelet analysis is used in the development of a Japanese text-to-speech system for personal computers and another presents new wavelet techniques developed for and applied to the study of atmospheric wind, turbulent fluid, and seismic acceleration data. Although calculus and some junior and senior mathematics courses for scientists and engineers will suffice, a solid background in undergraduate mathematics, particularly analysis and numerical analysis, and some familiarity with the basics of wavelets are helpful for reading this book.
Download or read book The Illustrated Wavelet Transform Handbook written by Paul S. Addison and published by CRC Press. This book was released on 2017-01-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance has been fully updated and revised to reflect recent developments in the theory and practical applications of wavelet transform methods. The book is designed specifically for the applied reader in science, engineering, medicine and finance. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, while readers already acquainted with wavelets can use the book to broaden their perspective. One of the many strengths of the book is its use of several hundred illustrations, some in colour, to convey key concepts and their varied practical uses. Chapters exploring these practical applications highlight both the similarities and differences in wavelet transform methods across different disciplines and also provide a comprehensive list of over 1000 references that will serve as a valuable resource for further study. Paul Addison is a Technical Fellow with Medtronic, a global medical technology company. Previously, he was co-founder and CEO of start-up company, CardioDigital Ltd (and later co-founded its US subsidiary, CardioDigital Inc) - a company concerned with the development of novel wavelet-based methods for biosignal analysis. He has a master’s degree in engineering and a PhD in fluid mechanics, both from the University of Glasgow, Scotland (founded 1451). His former academic life as a tenured professor of fluids engineering included the output of a large number of technical papers, covering many aspects of engineering and bioengineering, and two textbooks: Fractals and Chaos: An Illustrated Course and the first edition of The Illustrated Wavelet Transform Handbook. At the time of publication, the author has over 100 issued US patents concerning a wide range of medical device technologies, many of these concerning the wavelet transform analysis of biosignals. He is both a Chartered Engineer and Chartered Physicist.
Download or read book Wavelet Based Analysis and Software for Multiscale Fractal Processes written by and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multi-scale fractal processes are useful as models for a wide variety of time series, including measurements related to atmospheric turbulence. Because of their multi-scale nature, wavelets are a natural tool for analyzing such processes. Work described in this report includes the development of wavelet-based statistical methodology for multi-scale fractal processes and the implementation of this methodology in a software toolkit (S+Wavelets 2.0).
Download or read book Wavelet Transforms and Their Applications written by Lokenath Debnath and published by . This book was released on 2001-11-16 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets allow complex information such as music, speech, images, and patterns to be decomposed into elementary forms called the fundamental building blocks at different positions and scales and, subsequently, reconstructed with high precision. With an increasedr demand for mathematical tools to provide both theory and applications for science and engineering, the utility and interest in wavelet analysis seem more clearly established than ever. Wavelet Transforms and Their Applications places a major emphasis on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. The book contains a large number of examples, which are either directly associated with applications or formulated in terms of the mathematical, physical, and engineering context in which theory arises. While other textbooks aim at a mathematically mature audience, this book is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Topics and Features: * Presents major developments in wavelets, wavelet transforms, Gabor transforms, the Wigner Ville distribution, multiresolution analysis, harmonic wavelets, and their applications to time-frequency signal analysis and turbulence * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offeres detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty * Includes carefully chosen end-of-chapter excercises and provides answers to selected exercises for additional help. Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find this book an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.
Download or read book Multiscale Wavelet Methods for Partial Differential Equations written by Wolfgang Dahmen and published by Elsevier. This book was released on 1997-08-13 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This latest volume in the Wavelets Analysis and Its Applications Series provides significant and up-to-date insights into recent developments in the field of wavelet constructions in connection with partial differential equations. Specialists in numerical applications and engineers in a variety of fields will find Multiscale Wavelet for Partial Differential Equations to be a valuable resource. Covers important areas of computational mechanics such as elasticity and computational fluid dynamics Includes a clear study of turbulence modeling Contains recent research on multiresolution analyses with operator-adapted wavelet discretizations Presents well-documented numerical experiments connected with the development of algorithms, useful in specific applications
Download or read book Wavelets written by Gordon Erlebacher and published by Oxford University Press. This book was released on 1996-01-04 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets are spatially localized functions whose amplitude drops off exponentially outside a small "window". They are used to magnify experimental or numerical data and have become powerful tools in signal processing and other computational sciences. This book gives scientists and engineers a practical understanding of wavelets--their origins, their purpose, their use, and their prospects. It covers the applications of wavelets as a diagnostic tool and the use of wavelet basis functions to solve differential equations. Each chapter was written by one of five lecturers of a course sponsored by the Institute of Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center. Not only does this book treat the latest advances on the subject, but it also attempts to impart practical knowledge to allow scientists and engineers to evaluate objectively where these tools stand in relation to their needs.
Download or read book Wavelet Analysis of Atmospheric Turbulence Structures written by and published by . This book was released on 1995 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors examined three specific methods for using the wavelet transform to derive information on the turbulence structure in the atmospheric boundary layer from raw data. The scale-time cross section method yields a qualitative picture of turbulence structures occurring at different times and different scales, the wavelet variance method provides a relatively objective estimate of principal scales associated with organized structures, and the wavelet cross correlation helps in identifying motions that are most important in turbulent transport and spatial coherence. The wavelet analysis can also be used to decompose the data for different scales and to detect coherent structures objectively by using the transform coefficient at the principal scale detected by the variance method (Collineau and Brunet, 1993; Coulter and Li, 1995). These methods can improve their capability to unfold the data for hidden information that is difficult to obtain from traditional spectral analysis and thus can provide a useful tool for understanding multiscale phenomena in the atmospheric boundary layer.
Download or read book The World According to Wavelets written by Barbara Burke Hubbard and published by CRC Press. This book was released on 1998-05-30 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development. Organized in hypertext fashion, the book tells a story of scientific dis
