Birkhäuser, 2002. — 562 p. There are probably more than 100 books and monographs on the subject of wavelet/subband transforms. Many of them are good; some are excellent. So naturally, the question arises, Why another book on this topic? The easy answer is to say that we wanted to write our own book; however, there are other more practical reasons as well. The subject of...
Wiley-ISTE, 2009. — 464 p. — ISBN-10: 1848210728, ISBN-13: 978-1848210721. Scaling is a mathematical transformation that enlarges or diminishes objects. The technique is used in a variety of areas, including finance and image processing. This book is organized around the notions of scaling phenomena and scale invariance. The various stochastic models commonly used to describe...
2nd ed. — CRC, 2016. — 470 p. — ISBN: 978-1-4822-5132-6. 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...
Springer, 2018. — 249 p. — (Forum for Interdisciplinary Mathematics). — ISBN: 978-981-13-0267-1. This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space,...
2nd edition. — San Diego: Academic Press, 2001. — 499 p. The uniqueness of this book is that it covers such important aspects of modern signal processing as block transforms from subband filter banks and wavelet transforms from a common unifying standpoint, thus demonstrating the commonality among these decomposition techniques. In addition, it covers such "hot" areas as signal...
Издательство Kluwer, 2002, -578 pp. Wavelet and subband transforms have been of great interest in the fields of engineering and applied mathematics. The theories of these powerful signal processing tools have matured and many applications utilizing them are emerging in different disciplines. This book, comprised of eleven chapter contributions from prominent researchers in the...
New York: Springer, 2022. — 657 p. This textbook is unique because of its in-depth treatment of the applications of wavelets and wavelet transforms to many areas, across many disciplines. The book is written to serve the needs of a one or two semester course at either the undergraduate or graduate level. The author uses a very simplified, accessible approach that de-emphasizes...
Rijeka: InTech, 2013. — 242 p. — ISBN13: 9789535109402. This book presents a succinct compendium of some of the more recent variants of Discrete Wavelet Transform (DWT) and their use to come up with solutions to an array of problems transcending the traditional application areas of image/video processing and security to the relatively newer areas of medicine, artificial...
New Jersey: John Wiley, 2014. - 263 p. Through extensive examples and case studies, Wavelet Neural Networks provides a step-by-step introduction to modeling, training, and forecasting using wavelet networks. The acclaimed authors present a statistical model identification framework to successfully apply wavelet networks in various applications, specifically, providing the...
2nd ed. — Springer, 2014. — 577 p. — (Theoretical and Mathematical Physics). — ISBN: 9781461485346, 9781461485353. This second edition is fully updated, covering in particular new types of coherent states (the so-called Gazeau-Klauder coherent states, nonlinear coherent states, squeezed states, as used now routinely in quantum optics) and various generalizations of wavelets...
Basel: Birkhauser, 2006. - 196 p. The volume consists of eight papers, and we now review their contents: Classical theory: The theory of second order stationary processes indexed by the nodes of a tree involves deep tools from harmonic analysis; see [4], [9]. Some of these aspects are considered in the paper of H. Heyer, Stationary random fields over graphs and related...
Cambridge University Press. 2004. - 478 p. One can divide ithe contents of the book into several stages. In a first part (Chapters 1–3), we develop systematically the continuous wavelet transform, first in one dimension (briefly), then in two dimensions. The emphasis here is on the practical use of the tool, with a minimum of mathematics. Then we devote two long chapters, 4 and...
Chapman and Hall/CRC, 2021. — 255 p. — ISBN 978-0367562182. Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications. This book is suitable for master’s or PhD students, senior researchers, or scientists working in industrial settings, where wavelets are used to model...
New York: Chapman and Hall/CRC, 2021. — 255 p. Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications. This book is suitable for master’s or PhD students, senior researchers, or scientists working in industrial settings, where wavelets are used to model real-world...
Berlin, Boston, Germany: De Gruyter, 2017. — 157 p. — ISBN10: 311048109X. The goal of this monograph is to develop the theory of wavelet harmonic analysis on the sphere. By starting with orthogonal polynomials and functional Hilbert spaces on the sphere, the foundations are laid for the study of spherical harmonics such as zonal functions. The book also discusses the...
Springer, 2016. — 441. The goal of this book is to provide a universal toolbox accompanied by a MatLAB software for manipulating polynomial and discrete splines, spline-based wavelets, wavelet packets, and wavelet frames for signal/image processing applications. The book is divided into two volumes. In Volume I , periodic splines and their diverse signal processing applications...
Amsterdam: Springer, 2014. — 514 p. This volume provides universal methodologies accompanied by MatLAB software to manipulate numerous signal and image processing applications. It is done with discrete and polynomial periodic splines. Various contributions of splines to signal and image processing from a unified perspective are presented. This presentation is based on Zak...
Springer, 2019, — 302 p. This volume concludes our three-volume series titled "Spline and spline wavelet methods with applications to signal and image processing". This book provides a practical guide, complete with accompanying MatLAB software, to many different types of polynomial and discrete splines and spline-based wavelets, multiwavelets and wavelet frames in signal and...
InTech, 2012. — 646 p. Wavelets are functions fulfilling certain mathematical requirements and used in representing data or other functions. The basic idea behind wavelets is to analyze according to scale. Wavelets received considerable attention in the last years because they are very appropriate for application in practical problems in areas of Engineering, Physics and...
New York: InTAvE, 2015. - 132p. This voluve investigats the use of the progressive regressive strategy for biometrical authentication; the best wavelet packet based selection algorithm and its application in image denoising; the application of the empirical wavelet transform for seismic anomalies detection in ultralow-frequency geomagnetic signals. A new lossy image compression...
Springer, 2014. — 508 p. Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of Engineering and Technology,...
N.-Y.: Springer, 1997. - 238p.
Grobner Bases and Multidimensional FIR Multirate Systems
Reconstruction and Decomposition Algorithms for Biorthogonal Multiwavelets
Zero-Phase Filter Bank and Wavelet Code r Matrices: Properties, Triangular Decompositions, and a Fast Algorithm
On Translation Invariant Subspaces and Critically Sampled Wavelet Transforms
Low Bit-Rate Design...
Singapore: Springer, 2021. — 345 p. This book discusses the theory of wavelets on local fields of positive characteristic. The discussion starts with a thorough introduction to topological groups and local fields. It then provides a proof of the existence and uniqueness of Haar measures on locally compact groups. It later gives several examples of locally compact groups and...
Basel: Birkhäuser, 2004. — 357 p. Sampling, wavelets, and tomography are three active areas of contemporary mathematics sharing common roots that lie at the heart of harmonic and Fourier analysis. The advent of new techniques in mathematical analysis has strengthened their interdependence and led to some new and interesting results in the field. This state-of-the-art book not...
New York: Chapman and Hall/CRC, 2020. — 484 p. The textbook, Introduction to Wavelet Transforms provides basics of wavelet transforms in a self-contained manner. Applications of wavelet transform theory permeate our daily lives. Therefore it is imperative to have a strong foundation for this subject. Features No prior knowledge of the subject is assumed. Sufficient mathematical...
2 edition. — Wiley, 2009. — 336 p. — ISBN10: 0470431172. A comprehensive, self-contained treatment of Fourier analysis and wavelets — now in a new edition Through expansive coverage and easy-to-follow explanations, A First Course in Wavelets with Fourier Analysis, Second Edition provides a self-contained mathematical treatment of Fourier analysis and wavelets, while uniquely...
Springer, 2002. — 413 p. Wavelet theory stands on the interface between signal processing and harmonic analysis, the mathematical tools involved in digitizing continuous data with a view to storage, and the synthesis process, recreating, for example, a picture or time signal from stored data. The algorithms involved go under the name of filter banks, and their spectacular...
ITexLi, 2022. — 153 p. — ISBN 1803557397 9781803557397 1803557389 9781803557380 1803557400 9781803557403. Today, more sophisticated techniques are necessary for spectral analysis, reconstruction, restoration of signals, their digital and analogic processing, specialized signal diagnostics, and short intervals with occurrences that require greater speed and precision. As the...
Prentice Hall Inc., 1998. — 282 p. This book develops the ideas behind and properties of wavelets and shows how they can be used as analytical tools for signal processing, numerical analysis, and mathematical modeling. We try to present this in a way that is accessible to the engineer, scientist, and applied mathematician both as a theoretical approach and as a potentially...
Amsterdam: Springer, 1994. — 418 p. It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet. Hence, if they actually meet, that is, if they are at least so much related to each other that a real interaction can take place, then one may hope that new...
Academic Press, 1998. — 81 p. — ISBN-10: 0121745953, ISBN-13: 978-0121745950. Designed for the reader to gain hands-on experience in the subject of wavelets. This package contains simple signal processing applications, one-dimensional and two-dimensional Discrete Wavelet Transforms (DWTs) and their inverse transforms, and computations of the Continuous Wavelet Transform (CWT)...
CRC Press, 2010. — 476 p. Prevalent in animation movies and interactive games, subdivision methods allow users to design and implement simple but efficient schemes for rendering curves and surfaces. Adding to the current subdivision toolbox, Wavelet Subdivision Methods: GEMS for Rendering Curves and Surfaces introduces geometry editing and manipulation schemes (GEMS) and covers...
Academic Press, 1992. — 718 p. Wavelet analysis is a rapidly developing area in the mathematical sciences which is emerging as an independent field of investigation. Moreover, it has already created a common link between mathematicians and electrical engineers, and has even drawn a great deal of attention from scientists and engineers in other disciplines. This volume consists...
Academic Press, 1992. — 266 p. — ISBN10: 0121745848, ISBN13: 978-0121745844. An Introduction to Wavelets is the first volume in a new series, Wavelet Analysis and Its Applications. This is an introductory treatise on wavelet analysis , with an emphasis on spline-wavelets and time-frequency analysis. Among the basic topics covered in this book are time-frequency localization,...
Academic Press, 1994. — 649. Interest in wavelet analysis has been growing very rapidly in recent Advances in its theory, algorithms, and applications have greatly influenced the development of many disciplines of science and technology, including physics, engineering, geosciences, meteorology, and will continue influence other areas as well. However, while the rate of growth...
Birkhäuser, 2011. — 359 p. — ISBN10: 0817680942, ISBN13: 978-0817680947. This book is a collection of papers written or co-authored by participants in the Twenty Years of Wavelets conference held at DePaul in May, 2009. The conference attracted almost a hundred participants from five different countries over three days. There were 13 plenary lectures and 16 contributed talks....
Berlin: Springer, 1989. — 321 p. The last two subjects mentioned in the title "Wavelets" are so well established that they do not need any explanations. The first is related to them, but a short introduction is appropriate since the concept of wavelets emerged fairly recently. Roughly speaking, a wavelet decomposition is an expansion of an arbitrary function into smooth...
Springer, 2001. — 444 p. The last fifteen years have produced major advances in the mathematical theory wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at...
Kluwer, 2003. — 450 p. The mathematical theory of wavelet analysis and its applications have been a rich area of research over the past twenty years. Nowadays, wavelet analysis is an integral part of the solution to difficult problems in fields as diverse as signal processing, computer vision, data compression, pattern recognition, image processing, computer graphics, medical...
Birkhäuser Boston, 2015. — 572 p. — ISBN: 0817684174, 9780817684174, 9780817684181 This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its...
Springer International Publishing AG, 2017. — 227 p. — (Compact Textbooks in Mathematics). — ISBN: 978-3-319-59432-3. This book provides a systematic exposition of the basic ideas and results of wavelet analysis suitable for mathematicians, scientists, and engineers alike. The primary goal of this text is to show how different types of wavelets can be constructed, illustrate...
Oxford University Press, 1996. — 523 p. 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...
Springer, 2019. — 400 p. — (Industrial and Applied Mathematics). — ISBN: 978-981-13-6369-6. This book focuses on the fusion of wavelets and Walsh analysis, which involves non-trigonometric function series (or Walsh–Fourier series). The primary objective of the book is to systematically present the basic properties of non-trigonometric orthonormal systems such as the Haar...
Springer, 1999. - 501 pages. Wavelet theory is on the boundary between mathematics and engineering, making it ideal for demonstrating to students that mathematics research is thriving in the modern day. Students can see non-trivial mathematics ideas leading to natural and important applications, such as video compression and the numerical solution of differential equations. The...
Издательство Space & Signals Technical Publishing, 2009, -277 pp.
Conceptual Wavelets in Digital Signal Processing, however, is vastly different from other books in that we use numerous examples, figures, and demonstrations to show how to understand and use wavelets. This is a very complete and in-depth treatment of the subject, but from an intuitive, conceptual point of view....
Springer, 2014. — 271 p. The most useful property of wavelets is its ability to decompose a signal into its time scale components. Economics, like many other complex systems, include variables simultaneously interacting on different time scales so that relationships between variables can occur at different horizons. Hence, for example, we can find a stable relationship between...
Singapore: Wolrld Scientific Publishing Company, 2016. — 300 p. — ISBN 9814725765. This textbook for undergraduate mathematics, science, and engineering students introduces the theory and applications of discrete Fourier and wavelet transforms using elementary linear algebra , without assuming prior knowledge of signal processing or advanced analysis. It explains how to use the...
Leeds: The University of Leeds, Department of Statistics, 2008. — 118 p. Описана общая теория вейвлетов и вейвлет-преобразование, а также их применение в разных областях науки. Literature review Modelling seismic data Tomographic data modelling Multiwavelet modelling approaches Conclusions and further work
Книга подготовлена по материалам многолетней работы французско-немецкого семинара по вейвлетам и содержит изложение теоретических основ вейвлетов, описание их с позиций теории приближений и приложения вейвлет-анализа в области статистических методов. Berlin-Paris, 1997. - 266 с. Wavelets. What can wavelets o er? General remarks. Data compression. Local adaptivity. Nonlinear...
John Wiley & Sons Singapore Pte. Ltd., 2016. — 300 p. — ISBN10: 1118977009. An original reference applying wavelet analysis to power systems engineering Introduces a modern signal processing method called wavelet analysis, and more importantly, its applications to power system fault detection and protection Concentrates on its application to the power system, offering great...
Princeton: Princeton University Press, 2006. — 897 p. This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine...
CRC Press, 2014. — 220 p. This book collects fresh research results in wavelet designs on three dimensional shapes. The proposed methods can be applied to various types of three dimensional data: polygonal meshes, point clouds, manifolds, and volumetric images. The design is driven by heat diffusion. The heat diffusion process is a natural phenomenon that connects local and...
New York: Chapman and Hall/CRC, 2002. — 285 p. Traditionally, neural networks and wavelet theory have been two separate disciplines, taught separately and practiced separately. In recent years the offspring of wavelet theory and neural networks-wavelet networks-have emerged and grown vigorously both in research and applications. Yet the material needed to learn or teach wavelet...
Springer, 2001. — 209 p. This book discusses statistical applications of wavelet theory for use in signal and image processing. The emphasis is on smoothing by wavelet thresholding and extended methods. Wavelet thresholding is an example of non-linear and non-parametric smoothing. The first part discusses theoretical and practical issues concerned with minimum risk thresholding...
New York: Springer, 2005. - 142p. Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics. The Classical Wavelet Transform for Continuous-time and Discretetime Signals. The...
Springer, 2001. — 249 p. Yet another book on wavelets. There are many books on wavelets available, written for readers with different backgrounds. But the topic is becoming ever more important in mainstream signal processing, since the new JPEG2000 standard is based on wavelet techniques. Wavelet techniques are also impor tant in the MPEG-4 standard. So we thought that there...
Boston: Birkhauser, 2008. - 338 p. Motivated by applications, an underlying theme in analysis is that of finding bases and understanding the transforms that implement them. These may be based on Fourier techniques or involve wavelet tools; they may be orthogonal or have redundancies (e.g., frames from signal analysis). Representations, Wavelets, and Frames contains chapters...
Springer, 2006. — 276 p. This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that...
World SCientific Publishing, 2023. — 270 p. This book presents the mathematics of wavelet theory and its applications in a broader sense, comprising entropy encoding, lifting scheme, matrix factorization, and fractals. It also encompasses image compression examples using wavelet transform and includes the principal component analysis which is a hot topic on data dimension...
Oxford: Alpha Science, 2018. — 228 p. — ISBN: 1783323655. Presents an accessible treatment and description of discrete and generalized wavelet analysis . It begins with elementary local results, discusses basic new concepts of the multi-scale theory such as orthogonal and biorthogonal multiresolution analyses . Wavelet bases constitute a very important method for the study of...
Birkhäuser Boston, 2010. — 321 p. — ISBN: 0817681108, 9780817681104 This volume is designed as a textbook for an introductory course on wavelet analysis and time-frequency analysis aimed at graduate students or advanced undergraduates in science and engineering. It can also be used as a self-study or reference book by practicing researchers in signal analysis and related areas....
Springer, 2000. — 256 p. This book is a collection of the Lecture Notes of the School of Wavelets in the Geosciences held in Delft (The Netherlands) from 4-9 October 1998. The objective of the school was to provide the necessary information for understanding the potential and limitations of the application of wavelets in the geosciences. Three lectures were given by outstanding...
New York: Springer, 2016. — 258 p. This book presents a systematic study of multivariate wavelet frames with matrix dilation, in particular, orthogonal and bi-orthogonal bases, which are a special case of frames. Further, it provides algorithmic methods for the construction of dual and tight wavelet frames with a desirable approximation order, namely compactly supported wavelet...
Springer. 2007. - 149 p. In wavelet analysis, irregular wavelet frames have recently come to the forefront of current research due to questions concerning the robustness and stability of wavelet algorithms. A major difficulty in the study of these systems is the highly sensitive interplay between geometric properties of a sequence of time-scale indices and frame properties of...
Dissertation, Poland, 2005. In this dissertation it has tried to answer two questions: How images can be approximated better, which will lead to improving its coding and processing properties. How the most important information may by extracted from an image in an automatic way. Introduction (motivation; problem…). Classical Theory of Wavelets (… Haar wavelet; Mallat algorithm;...
Academic Press, 2008. — 832 p. Mallat's book is the undisputed reference in this field - it is the only one that covers the essential material in such breadth and depth. - Laurent Demanet, Stanford University The new edition of this classic book gives all the major concepts, techniques and applications of sparse representation, reflecting the key role the subject plays in...
Amsterdam: Elsevier, 1994. - 379p. Fractal Functions, Fractal Surfaces, and Wavelets is the first systematic exposition of the theory of fractal surfaces, a natural outgrowth of fractal sets and fractal functions. It is also the first treatment to bring these general considerations to bear on the burgeoning field of wavelets. The text is based on Massopusts work on and...
Second Edition. — Academic Press, 2016. — 410 p. — ISBN: 978-0-12-804408-7. This book, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust’s work on and contributions to the theory of fractal...
The MathWorks, Inc., 2020. — 1146 p. Wavelets, Scaling Functions, and Conjugate Quadrature Mirror Filters. Continuous Wavelet Analysis. Discrete Wavelet Analysis. Time-Frequency Analysis. Wavelet Packets. Denoising, Nonparametric Function Estimation, and Compression. Matching Pursuit. Code Generation from MatLAB Support in Wavelet Toolbox. Special Topics. Featured Examples —...
Springer, 2018. — 185 p. — (Forum for Interdisciplinary Mathematics). — ISBN: 978-981-13-2594-6. This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MatLAB toolbox, which...
Cambridge University Press, 1997. — 335 p. Now in paperback, this remains one of the classic expositions of the theory of wavelets from two of the subject's leading experts. This volume discusses the theory of paradifferential operators and the Cauchy kernel on Lipschitz curves with the emphasis firmly on their connection with wavelet bases. Sparse matrix representations of...
University of Minnesota, 2006. — 288 p. Material covered in course: Inner product spaces, Fourier series and transforms. Background theory/experience in wavelets. Multi-scale analysis, discrete wavelets, self-similarity. Computing techniques. We will start at the beginning and cover the basics thoroughly. All of the later topics will be treated in some form. We will make use of...
Издательство ISTE, 2007, -352 pp.
Wavelets are a recently developed signal processing tool enabling the analysis on several timescales of the local properties of complex signals that can present nonstationary zones. They lead to a huge number of applications in various fields, such as, for example, geophysics, astrophysics, telecommunications, imagery and video coding. They are...
The MathWorks, Inc. — 2021. — 1160 p. Wavelets, Scaling Functions, and Conjugate Quadrature Mirror Filters. Continuous Wavelet Analysis. Discrete Wavelet Analysis. Time-Frequency Analysis. Wavelet Packets. Denoising, Nonparametric Function Estimation, and Compression. Matching Pursuit. Code Generation from MatLAB Support in Wavelet Toolbox. Special Topics. Featured Examples —...
The MathWorks, 2021. — 1224 p. Wavelets, Scaling Functions, and Conjugate Quadrature Mirror Filters Continuous Wavelet Analysis Discrete Wavelet Analysis Time-Frequency Analysis Wavelet Packets Denoising, Nonparametric Function Estimation, and Compression Matching Pursuit Code Generation from MatLAB Support in Wavelet Toolbox Special Topics Featured Examples — Time-Frequency...
The MathWorks, Inc., 2022. — 1262 p. Wavelets, Scaling Functions, and Conjugate Quadrature Mirror Filters. Continuous Wavelet Analysis. Discrete Wavelet Analysis. Time-Frequency Analysis. Wavelet Packets. Denoising, Nonparametric Function Estimation, and Compression. Matching Pursuit. Code Generation from MatLAB Support in Wavelet Toolbox. Special Topics. Featured Examples —...
The MathWorks, 2022. — 1214 p. Wavelets, Scaling Functions, and Conjugate Quadrature Mirror Filters Continuous Wavelet Analysis Discrete Wavelet Analysis Time-Frequency Gallery Wavelet Packets Denoising, Nonparametric Function Estimation, and Compression Matching Pursuit Code Generation from MatLAB Support in Wavelet Toolbox Special Topics Featured Examples — Time-Frequency...
The MathWorks, 2023. — 1252 p. Acknowledgments. Wavelets, Scaling Functions, and Conjugate Quadrature Mirror Filters. Continuous Wavelet Analysis. Discrete Wavelet Analysis. Time-Frequency Gallery. Wavelet Packets. Denoising, Nonparametric Function Estimation, and Compression. Matching Pursuit. Code Generation from MatLAB Support in Wavelet Toolbox. Special Topics. Featured...
The MathWorks, Inc., 2023. — 1360 p. Acknowledgments. Wavelets, Scaling Functions, and Conjugate Quadrature Mirror Filters. Continuous Wavelet Analysis. Discrete Wavelet Analysis. Time-Frequency Gallery. Wavelet Packets. Denoising, Nonparametric Function Estimation, and Compression. Matching Pursuit. Code Generation from MatLAB Support in Wavelet Toolbox. Special Topics....
The MathWorks, 2025. — 1402 p. Acknowledgments Wavelets, Scaling Functions, and Conjugate Quadrature Mirror Filters Continuous Wavelet Analysis Discrete Wavelet Analysis Time-Frequency Gallery Wavelet Packets Denoising, Nonparametric Function Estimation, and Compression Matching Pursuit Code Generation from MatLAB Support in Wavelet Toolbox Special Topics Featured Examples —...
ITexLi, 2021. — 365 p. — ISBN 1-83881-948-7 978-1-83881-948-4 1-83881-955-X 978-1-83881-955-2. This book looks at some of the most creative and popular applications of wavelets including biomedical signal processing, image processing, communication signal processing, Internet of Things (IoT), acoustical signal processing, financial market data analysis, energy and power...
European Mathematical Society, 2008. - 119 pages. These notes introduce the central concepts surrounding wavelets and their applications. By focusing on the essential ideas and arguments, the authors enable readers to get to the heart of the matter as quickly as possible. A list of references guides readers interested in further study to the appropriate places in the literature...
New York: Springer, 2017. — 108 p. Wavelet-based procedures are key in many areas of statistics, applied mathematics, engineering, and science. This book presents wavelets in functional data analysis, offering a glimpse of problems in which they can be applied, including tumor analysis, functional magnetic resonance and meteorological data. Starting with the Haar wavelet, the...
Cambridge: Cambridge University Press, 2017. — 275 p. This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this theory is intrinsically advanced, the author's elementary approach makes it accessible at the undergraduate level. Beginning with thorough accounts of inner product spaces and...
Birkhauser, 2001. - 297 Pages. ISBN: 0817640614 , 3764340614 2nd edition This book, written at the level of a first course in calculus and linear algebra, offers a lucid and concise explanation of mathematical wavelets. Evolving from ten years of classroom use, its accessible presentation is designed for undergraduates in a variety of disciplines (computer science, engineering,...
InTech, 2011. — 378 p. The discrete wavelet transform (DWT) has an established role in multi-scale processing of biomedical signals, such as EMG and EEG. Since DWT algorithms provide both octave-scale frequency and spatial timing of the analyzed signal. Hence, DWTs are constantly used to solve and treat more and more advanced problems. The DWT algorithms were initially based on...
Rijeka: InTech, 2011. - 308 p. This book reviews the recent progress in discrete wavelet transform algorithms and applications. The book covers a wide range of methods (e.g. lifting, shift invariance, multi-scale analysis) for constructing DWTs. The book chapters are organized into four major parts. Part I describes the progress in hardware implementations of the DWT...
InTech, 2011. — 268 p. Discrete wavelet transform (DWT) algorithms have become standards tools for processing of signals and images in several areas in research and industry. The first DWT structures were based on the compactly supported conjugate quadrature filters (CQFs). However, a drawback in CQFs is related to the nonlinear phase effects such as image blurring and spatial...
Из серии Foundations and Trends in Signal Processing издательства NOWPress, 2008, -94 pp. Про кодирование путем разделения данных (акцент на вейвлеты). The purpose of this two-part monograph is to present a tutorial on set partition coding, with emphasis and examples on image wavelet transform coding systems, and describe their use in modern image coding systems. Set partition...
Springer, 2001. — 548 p. The story of wavelets is one of the most fascinating developments in the entire history of mathematics. It began in the early 1800s with the works of J. Fourier, which later became a cornerstone of modern harmonic analysis. Fourier discovered that he could superpose sines and cosines to represent other functions, including square waves. In 1910, A. Haar...
Ceremade, Université Paris-Dauphine, 2010. — 152 p. This book details advanced signal, image and surface processing methods. The focus in on the use of sparsity and variational methods to solve difficult problems such as denoising, compression, super-resolution and compressive sensing. The theoritical exposition is kept as simple as possible and the emphasis is put on numerical...
Białystok: Politechnika Białostocka, 2018. — 208 s. — ISBN 978-83-65596-79-6. W książce omówiono przekształcenia falkowe w ujęciu algorytmicznym ze szczególnym uwzględnieniem aspektów obliczeniowych w przetwarzaniu sygnałów. Ujęcie materiału adresowane jest głównie do inżynierów zajmujących się przetwarzaniem sygnałów, ale starano się zachować ścisłość matematyczną wymaganą...
ITexLi, 2024. — 88 p. — ISBN 0854662359 9780854662357 0854662367 9780854662364 0854662375 9780854662371. This book explores the use of wavelet transforms in signal processing, including image, finance, and communication systems. It covers five contemporary applications, including the interaction between inertial sensors and wavelet filtering techniques, geophysical prospecting,...
Wiley-Blackwell, 2009. - 480 pages. A self-contained, elementary introduction to wavelet theory and applications Exploring the growing relevance of wavelets in the field of mathematics, Wavelet Theory: An Elementary Approach with Applications provides an introduction to the topic, detailing the fundamental concepts and presenting its major impacts in the world beyond academia....
Artech House Publishers, 2002. — 366 p. Written from an engineering perspective, this unique resource describes the practical application of wavelets to the solution of electromagnetic field problems and in signal analysis with an even-handed treatment of the pros and cons. A key feature of this book is that the wavelet concepts have been described from the filter theory point...
CRC Press, 2022. — 501 p. — (Textbooks in Mathematics). — ISBN 1032007966. Wavelet Transforms: Kith and Kin serves as an introduction to contemporary aspects of time-frequency analysis encompassing the theories of Fourier transforms, wavelet transforms and their respective offshoots . This book is the first of its kind totally devoted to the treatment of continuous signals and...
Springer, 2013. — 97 p. Transforms occupy an important compartment of an engineer’s tool kit for solving signal processing and polynomial computation problems efficiently. By resolving a time-varying signal into sinusoidal components, engineers transform a problem from that of studying time domain phenomena to that of evaluating frequency domain properties. These properties...
PHI Learning, 2010. — 304 p. — 3rd ed. — ISBN: 8120326504, 8120340531, 9788120326507, 9788120340534. This book in its third edition additionally explores how the ubiquitous electronic spreadsheet can be utilized for wavelet based signal and image processing. Many of the intriguing properties of wavelet and scaling functions can be easily observed in the spreadsheets. Preface....
Cambridge: Cambridge University Press, 2015. — 449 p. This thoroughly updated new edition presents state of the art sparse and multiscale image and signal processing. It covers linear multiscale geometric transforms, such as wavelet, ridgelet, or curvelet transforms, and non-linear multiscale transforms based on the median and mathematical morphology operators. Along with an...
New York: Springer, 2005. — 158 p. As the applications of wavelet transform have spread to diverse areas of signal analysis and compression, students and practitioners need a practical introduction and overview. This textbook provides that concise and practical introduction to the underlying foundations and important applications. Through numerous examples and case studies from...
Seattle: Department of Computer Science and Engineering University of Washington, 1994. — 40 p. September 1994. Technical Report 94-09-11. Wavelets are a mathematical tool for hierarchically decomposing functions. Wavelets allow any function to be described in terms of a coarse overall shape, plus details that range from broad to narrow. Regardless of whether the function of...
Seattle: Department of Computer Science and Engineering University of Washington, 1994. — 9 p. September 1994. Technical Report 94-09-11. Wavelets are a mathematical tool for hierarchically decomposing functions. They allow a function to be described in terms of a coarse overall shape, plus details that range from broad to narrow. Regardless of whether the function of interest...
Wellesley-Cambridge Press. 1997. — 436 p. This text has had an overwhelming response from readers. Lauded by some as a marriage between math and engineering, the text features useful and balanced explanations of wavelets for both engineers and mathematicians. The explanations of difficult topics are informal and very approachable, yet rigor is not sacrificed in the process....
John Wiley & Sons Singapore Pte. Ltd, 2015. — 325 p. — ISBN: 1119046068. Provides easy learning and understanding of DWT from a signal processing point of view Presents DWT from a digital signal processing point of view, in contrast to the usual mathematical approach, making it highly accessible Offers a comprehensive coverage of related topics, including convolution and...
Academic Press, 1997. — 206 p. The field of multirate and wavelet signal processing finds applications in speech and image compression, the digital audio and digital video industries, adaptive signal processing, and in many other applications. The utilization of multirate techniques is becoming an indispensable tool of the electrical engineering profession. This point can be...
Birkhauser, 2006. - 588 pages.
This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical...
Birkhäuser, 1998. — 344 p. For over a decade now, wavelets have been and continue to be an evolving subject of intense interest. Their allure in signal processing is due to many factors, not the least of which is that they offer an intuitively satisfying view of signals as being composed of little pieces of wavues. Making this concept mathematically precise has resulted in a...
Birkhäuser, 2017. — 324 p. This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets. With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis. The text is written in a clear, accessible style avoiding unnecessary...
European Mathematical Society, 2008. — 267 p. This book develops a theory of wavelet bases and frames for function spaces on various types of domains (such as Euclidean n-spaces) and on related n-manifolds. Basic notation and classical results are repeated in order to make the text self-contained. The book is organised as follows. Chapter 1 deals with the usual spaces on Rn,...
London: Routledge, 1997. — 367 p. Wavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics. The theory of hypergroups can be traced back to the turn of the century, and following its formalization in the early 1970s, the area has...
Oxford University Press, 2009. — 509 p. Wavelet methods are by now a well-known tool in image processing (jpeg2000). These functions have been used successfully in other areas, however. Elliptic Partial Differential Equations which model several processes in, for example, science and engineering, is one such field. This book, based on the author's course, gives an introduction...
Издательство John Wiley, 2008, -571 pp.
How do you apply wavelets to images? This question was asked of me by a bright undergraduate student while I was a professor in the mid-1990s at Sam Houston State University. I was part of a research group there and we had written papers in the area of multiwavelets, obtained external funding to support our research, and hosted an...
2nd edition. — Hoboken: Wiley, 2019. — 602 p. Updated and Expanded Textbook Offers Accessible and Applications-First Introduction to Wavelet Theory for Students and Professionals The new edition of Discrete Wavelet Transformations continues to guide readers through the abstract concepts of wavelet theory by using Dr. Van Fleet’s highly practical, application-based approach,...
New Jersey: Prentice Hall, 2007. — 519 p.
Over the past few years, wavelets and their discrete-time cousins, filter banks, or subband coding, have been used in a variety of signal processing applications. From work in harmonic analysis and mathematical physics, and applications such as speech, image compression and computer vision, different disciplines have built up methods...
Elsevier, 2000. — 571 p.
Wavelets seem to be the most efficient tool in signal denoising and compression. They can be used in an unlimited number of applications in all fields of chemistry where the instrumental signals are the source of information about the studied chemical systems or phenomena, and in all cases where these signals have to be archived. The quality of the...
New York: Chapman&Hall/CRC, 2008. - 305 p. An easily accessible introduction to wavelet analysis, this book explains the subject using algebra and some basic calculus and stresses applications, such as speech compression, removing noise from audio and images, image compression, and image enhancement. The author offers downloadable software that permits recording, playing, and...
CRC Press, 1999. - 168 Pages. ISBN: 0849382769 The rapid growth of wavelet applications-speech compression and analysis, image compression and enhancement, and removing noise from audio and images-has created an explosion of activity in creating a theory of wavelet analysis and applying it to a wide variety of scientific and engineering problems. It becomes important, then,...
Издательство Infinity Science Press, 2007, -478 pp. Digital signal processing is an important and growing field. There have been many books written in this area, however, I was motivated to write this manuscript because none of the existing books address the needs of the computer scientist. This work attempts to fill this void, and to bridge the disciplines from which this...
Academic Press, 2003. — 321 p.
"Beyond Wavelets" presents state-of-the-art theories, methods, algorithms, and applications of mathematical extensions for classical wavelet analysis. Wavelets, introduced 20 years ago by Morlet and Grossmann and developed very rapidly during the 1980's and 1990's, has created a common link between computational mathematics and other disciplines of...
Wornell G. Signal Processing with Fractals: A Wavelet Based Approach Prentice Hall PTR Upper Saddle River, NJ 07458, 1995. — 177 p. — ISBN: 0-13-120999-X Observations of signals, time series in telecommunication, or pictures in medical imaging reveal selfsimilarity, i.e. , the signal/picture looks the same as the scale varies. Hence, the name "fractal" ! Pictures in the Intro...
Springer, 1993. — 233 p.
The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural...
Berlin: Springer, 2013. - 145p. In order to precisely model real-life systems or man-made devices, both nonlinear and dynamic properties need to be taken into account. The generic, black-box model based on Volterra and Wiener series is capable of representing fairly complicated nonlinear and dynamic interactions, however, the resulting identification algorithms are...
Учебное пособие. — Томск: Томский государственный университет, 2024. — 102 с. — ISBN 978-5-907722-67-5 Учебное пособие предназначено для студентов старших курсов механико-математических и физико-математических факультетов университетов. Объем и содержание пособия соответствует учебной программе спецкурса «Сплайны и вейвлеты сеточных функций». Оно также может быть полезно...
Учебно-методическое пособие. — Минск: БГУИР, 2014. — 134 с. Рассмотрены алгоритмы и средства вычисления одномерного, двухмерного и трехмерного вейвлет—преобразований для обработки и сжатия изображений и видеоизображений. Предназначено для студентов, изучающих учебную дисциплину «Цифровая обработка и защита мультимедийной информации». Может быть использовано при курсовом и...
Учебно-методическое пособие. — М.: МФТИ, 2007. — 138 с. — ISBN 5-7417-0195-7.
В пособии рассматриваются основы как непрерывного, так и дискретного вейвлет преобразований. Освещены основные теоретические свойства и подробно рассмотрены практические аспекты подсчета вейвлет преобразования. Примеры применения проиллюстрированы как на модельных, так и на реальных сигналах....
Учебное пособие. — СПб.: Изд-во СПбГУ, 2001. — 58 с. Рассмотрены практические аспекты использования вейвлет-преобразования в анализе временных рядов. Показаны аналогии и различия между Фурье-преобзованием и вейвлет-преобразованием. Изучены свойства скалограмм (вейвлет-спектров) для дискретного белого шума и полигармонических функций, получены критерии выделения сигнала из шума....
ВУС(Военный университет связи), СПб 1999. 206 стр. Излагаются основные вопросы теории вейвлет-преобразования; рассмотрены принципы построения вейвлет-фильтров, практические аспекты осуществления преобразования, современные направления исследований в этой области; обсуждаются алгоритмы сжатия изображений с использованием вейвлет-преобразования; приведены технические данные о...
Новосибирск : НГАСУ (Сибстрин), 2015. — 188 с. — ISBN: 978-5-7795-0755-4. Монография содержит изложение теории и практики алгоритмов вейвлет-фильтрации, в которых обработке подлежат коэффициенты разложения зашумленного сигнала или изображения по вейвлетбазису. При этом большое внимание уделяется выбору параметров алгоритмов, исходя из условия минимума среднеквадратической...
Монография. — Новосибирск: Новосибирский государственный архитектурно-строительный университет (НГАСУ Сибстрин), 2010. — 188 с. — ISBN: 978-5-7795-0519-2. Монография содержит изложение теории и практики частотных алгоритмов фильтрации, в которых обработке подлежат коэффициенты разложения зашумленного сигнала или изображения по Фурье-базису и вейвлет-базису. При этом большое...
Курс лекций. - СПб.: Изд-во С. -Пб. ун-та, 2007. - 49 c. Современные потоки информации в процессе обработки, хранения и передачи имеют электронную форму: чаще всего это последовательности нулей и единиц огромной длины. Задача сокращения объемов цифровой информации за счет отбрасывания несущественных ее составляющих весьма актуальна, причем степень важности эффективного решения...
2-е изд. — М.: Солон-Р, 2010. — 400 с.: ил. Описано новейшее направление в теории и практике обработки функций и сигналов — вейвлеты (wavelets). Они способны эффективно представлять локальные особенности функций и сигналов, обеспечивать высокую степень компрессии сигналов и изображений и вести их эффективную обработку. Впервые, наряду с теоретическими сведениями о вейвлетах,...
Монография. — Тамбов: Юком, 2019. — 84 с. — ISBN: 978-5-4480-0211-3. В монографии представлены и проанализированы методы обработки радиотехнических сигналов с помощью теории вейвлетов. Описан алгоритм быстрого вычисления вейвлет-преобразования, основанного на гауссовых вейвлетах, и проведен сравнительный анализ характеристик ВФ, построенных с применением вейвлетов первого и...
Монография. — Хабаровск: Тихоокеанский государственный университет (ТОГУ), 2020. — 175 с. — ISBN: 978-5-7389-3051-5. В монографии рассмотрена концепция построения вейвлет-фильтров на базе унифицированных модулей, предназначенных для обработки, анализа и распознавания сигналов в реальном времени. Разработаны алгоритмы вейвлет-фильтрации для однокристальных микроконтроллеров,...
Москва: Физматлит, 2003. — 176 с. — ISBN: 978-5-9221-0389-3. В книге рассматривается такой современный метод анализа временных рядов, как непрерывный вейвлетный анализ. Излагаются общие сведения и понятия вейвлетного преобразования, математический аппарат, методика численной реализации вейвлетного преобразования, вейвлетный анализ случайных процессов, способы применения...
Jacques Lewalle, Syracuse University.
Автор перевода: Грибунин В. Г.
В настоящем учебнике вейвлеты объясняются на примере анализа экспериментальных временных рядов.
Содержание:
Введение.
Простой пример.
Вейвлет.
Анализ косинусоиды.
Непрерывные вейвлет-преобразования.
Интерпретация.
Распределение энергии.
Усредненный спектр мощности.
Интерпретация.
Взаимосвязь между...
Пер. с англ. — М.: Мир, 2005. — 671 с.: ил. — ISBN: 5-03-003691-1. Книга написана известным французским ученым и является наиболее полной современной монографией в области теории вэйвлетов и их применений при обработке сигналов. В ней подробно обсуждаются как важнейшие теоретические вопросы, так и ряд наиболее актуальных практических задач: сжатие сигналов и изображений, их...
Учебное пособие. СПб.: Изд-во ООО "МОДУС+", 1999. 154 с Приведен математический аппарат, в основном применяемый в теории вейвлетов, в его инженерном изложении, т. е. на языке понятий и определений, близком для специалистов с высшим техническим образованием. Понятие вейвлет-анализа введено в терминах привычного для инженеров Фурье-анализа. Даны определения различных типов...
СПб.: БГТУ, 2012. — 73 с. Содержатся основные сведения о существующих алгоритмах вейвлет-анализа. Приведены примеры практических задач, и на их основе показан процесс разработки систем, адаптированных к специфическим особенностям решаемой задачи. Предназначено для студентов, обучающихся по специальностям: 210400 «Радиотехника», 231000 «Программная инженерия».
Санкт-Петербург: Санкт-Петербургский государственный технический университет, 1999. — 132 с. Учебное пособие по теории базисов всплесков (вейвлеты). Введение в представление нестационарных сигналов и быстрые численные алгоритмы. Современные алгоритмы сжатия сигналов и изображений. Для студентов и исследователей в области цифровой обработки сигналов (геофизика, астрономия,...
Учебное пособие с иллюстрациями, 59 стр.
Перевод: Грибунин В. Г.
Пособие адресовано инженерам и написано для новичков в данной области.
Частотная информация.
Вейвлет-преобразование.
Преобразование Фурье.
Оконное преобразование Фурье.
Кратномасштабный анализ.
Непрерывные вейвлет-преобразования, вычисление.
Теория вейвлетов.
Базисные векторы.
Скалярные произведения,...
М.: ДМК Пресс, 2014. — 628 с. — ISBN: 978-5-94074-955-4. Предлагаемая читателю книга может служить учебником по теории вейвлетов и их применениям в системе MatLAB. Она предназначена для студентов высших учебных заведений, обучающихся по направлениям и специальностям, связанным с математикой, прикладной математикой и информационными технологиями, и будет полезна...
Лекции для студентов, обучающихся по специальности ''Прикладная математика''. — М.: РГГУ, 2006. — 55 с. Учебно-практическое пособие предназначено для студентов,обучающихся по специальности "Прикладная математика". Объем и содержание пособия соответствуют учебной программе по дисциплине "Численные методы" специальности ПМ и программе спецкурса Применение интегральных...
Учебное пособие. - М.: РГГРУ, 2007. - 111 с.
Учебное пособие состоит из трех глав и содержит начальные сведения по следующим темам: ряды и преобразования Фурье; преобразование Габора; непрерывные и дискретные вейвлет-преобразования; классические ортогональные системы (Хаара, Уолша, Радемахера, Лежандра и др. ); вейвлеты Хаара, Добеши, Мейера, Котельникова-Шеннона, Батла-Лемарье...
Моск. геологоразв. акад. М. ,2001. - 72 с. Учебно-практическое пособие предназначено для студентов, обучающихся в системе дистанционного образования по специальностям: "Прикладная математика" и "Геофизические методы поисков и разведки месторождений полезных ископаемых" (08.07, 09.01, 09.02, 09.05). Объем и содержание пособия соответствуют учебной программе по дисциплине...
Учебное пособие. — Новосибирск: Изд-во НГТУ, 2003. — 104 с. Непрерывное вейвлет-преобразование сигналов. Дискретное и быстрое вейвлет-преобразование сигналов. Двумерное вейвлет-преобразование и обработка изображений. Примеры применения вейвлет-преобразования для анализа, фильтрации и сжатия сигналов и изображений.
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