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Author: Daniel J. Greenhoe
Publisher: Abstract Space Publishing
Published: 2013-08-21
Total Pages: 451
ISBN-13: 0983801134
DOWNLOAD EBOOKThis book presents the structure of wavelets, principles of wavelet design, and mathematical structure that supports wavelet theory.
Author: Liang-gee Chen
Publisher: World Scientific
Published: 2006-12-09
Total Pages: 301
ISBN-13: 1911299263
DOWNLOAD EBOOKDiscrete wavelet transforms (DWTs) have led the revolutions in image and video coding systems over the past decade. In this book, the DWT is presented from the VLSI design perspective, and the related theories, algorithms, and architectures are discussed for 1D, 2D, and 3D DWT.The book provides a comprehensive analysis and discussion of DWTs and their applications including important materials and the newest developments in wavelet processing. For example, the architecture designs of 2D DWT in JPEG 2000 and the development of motion-compensated temporal filtering (MCTF) are explored./a
Author: Eric J. Stollnitz
Publisher: Morgan Kaufmann
Published: 1996
Total Pages: 292
ISBN-13: 9781558603752
DOWNLOAD EBOOKThis introduction to wavelets provides computer graphics professionals and researchers with the mathematical foundations for understanding and applying this powerful tool.
Author: Homayoun Nikookar
Publisher: Cambridge University Press
Published: 2013-03-21
Total Pages: 211
ISBN-13: 110731092X
DOWNLOAD EBOOKThe first book to provide a detailed discussion of the application of wavelets in wireless communications, this is an invaluable source of information for graduate students, researchers, and telecommunications engineers, managers and strategists. It overviews applications, explains how to design new wavelets and compares wavelet technology with existing OFDM technology. • Addresses the applications and challenges of wavelet technology for a range of wireless communication domains • Aids in the understanding of Wavelet Packet Modulation and compares it with OFDM • Includes tutorials on convex optimisation, spectral factorisation and the design of wavelets • Explains design methods for new wavelet technologies for wireless communications, addressing many challenges, such as peak-to-average power ratio reduction, interference mitigation, reduction of sensitivity to time, frequency and phase offsets, and efficient usage of wireless resources • Describes the application of wavelet radio in spectrum sensing of cognitive radio systems.
Author: Amir-Homayoon Najmi
Publisher: JHU Press
Published: 2012-04-15
Total Pages: 303
ISBN-13: 1421405598
DOWNLOAD EBOOKIntroduced nearly three decades ago as a variable resolution alternative to the Fourier transform, a wavelet is a short oscillatory waveform for analysis of transients. The discrete wavelet transform has remarkable multi-resolution and energy-compaction properties. Amir-Homayoon Najmi’s introduction to wavelet theory explains this mathematical concept clearly and succinctly. Wavelets are used in processing digital signals and imagery from myriad sources. They form the backbone of the JPEG2000 compression standard, and the Federal Bureau of Investigation uses biorthogonal wavelets to compress and store its vast database of fingerprints. Najmi provides the mathematics that demonstrate how wavelets work, describes how to construct them, and discusses their importance as a tool to investigate and process signals and imagery. He reviews key concepts such as frames, localizing transforms, orthogonal and biorthogonal bases, and multi-resolution. His examples include the Haar, the Shannon, and the Daubechies families of orthogonal and biorthogonal wavelets. Our capacity and need for collecting and transmitting digital data is increasing at an astonishing rate. So too is the importance of wavelets to anyone working with and analyzing digital data. Najmi’s primer will be an indispensable resource for those in computer science, the physical sciences, applied mathematics, and engineering who wish to obtain an in-depth understanding and working knowledge of this fascinating and evolving field.
Author: Charles K. Chui
Publisher: Elsevier
Published: 2016-06-03
Total Pages: 281
ISBN-13: 1483282864
DOWNLOAD EBOOKWavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on "wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.
Author: Bin Han
Publisher: Springer
Published: 2018-01-04
Total Pages: 750
ISBN-13: 3319685309
DOWNLOAD EBOOKMarking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide. As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises. Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets. Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing.
Author: S. Gopalakrishnan
Publisher: CRC Press
Published: 2010-03-17
Total Pages: 299
ISBN-13: 1439804621
DOWNLOAD EBOOKEmploys a Step-by-Step Modular Approach to Structural ModelingConsidering that wavelet transforms have also proved useful in the solution and analysis of engineering mechanics problems, up to now there has been no sufficiently comprehensive text on this use. Wavelet Methods for Dynamical Problems: With Application to Metallic, Composite and Nano-co
Author: Yuan Y. Tang
Publisher: World Scientific
Published: 2000
Total Pages: 372
ISBN-13: 9789812385529
DOWNLOAD EBOOKThis is not a purely mathematical book. It presents the basic principle of wavelet theory to electrical and electronic engineers, computer scientists, and students, as well as the ideas of how wavelets can be applied to pattern recognition. It also contains many novel research results from the authors'' research team.
Author: Efi Foufoula-Georgiou
Publisher: Elsevier
Published: 2014-06-28
Total Pages: 388
ISBN-13: 0080520871
DOWNLOAD EBOOKApplications 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
