Wavelet Transforms

Download Wavelet Transforms full books in PDF, epub, and Kindle. Read online Wavelet Transforms ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Wavelet Transforms and Their Applications

Author : Lokenath Debnath
Publisher : Springer
ISBN 13 : 0817684182
Total Pages : 553 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!

Book Synopsis Wavelet Transforms and Their Applications by : Lokenath Debnath

Download or read book Wavelet Transforms and Their Applications written by Lokenath Debnath and published by Springer. This book was released on 2014-11-25 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 applications to a wide variety of problems as encountered in various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands’s Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers 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 exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.

Introduction to Wavelets and Wavelet Transforms

Author : C. S. Burrus
Publisher : Pearson
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis Introduction to Wavelets and Wavelet Transforms by : C. S. Burrus

Download or read book Introduction to Wavelets and Wavelet Transforms written by C. S. Burrus and published by Pearson. This book was released on 1998 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced undergraduate and beginning graduate students, faculty, researchers and practitioners in signal processing, telecommunications, and computer science, and applied mathematics. It assumes a background of Fourier series and transforms and of linear algebra and matrix methods. This primer presents a well balanced blend of the mathematical theory underlying wavelet techniques and a discussion that gives insight into why wavelets are successful in signal analysis, compression, dection, numerical analysis, and a wide variety of other theoretical and practical applications. It fills a gap in the existing wavelet literature with its unified view of expansions of signals into bases and frames, as well as the use of filter banks as descriptions and algorithms.

Introduction to Wavelet Transforms

Author : Nirdosh Bhatnagar
Publisher : CRC Press
ISBN 13 : 1000768619
Total Pages : 456 pages
Book Rating : 4.0/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Introduction to Wavelet Transforms by : Nirdosh Bhatnagar

Download or read book Introduction to Wavelet Transforms written by Nirdosh Bhatnagar and published by CRC Press. This book was released on 2020-02-18 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 background is provided to complete the discussion of different topics. Different topics have been properly segmented for easy learning. This makes the textbook pedagogical and unique. Notation is generally introduced in the definitions. Relatively easy consequences of the definitions are listed as observations, and important results are stated as theorems. Examples are provided for clarity and to enhance reader's understanding of the subject. Each chapter also has a problem section. A majority of the problems are provided with sufficient hints. The textbook can be used either in an upper-level undergraduate or first-year graduate class in electrical engineering, or computer science, or applied mathematics. It can also be used by professionals and researchers in the field who would like a quick review of the basics of the subject. About the Author Nirdosh Bhatnagar works in both academia and industry in Silicon Valley, California. He is also the author of a comprehensive two-volume work: Mathematical Principles of the Internet, published by the CRC Press in the year 2019. Nirdosh earned M.S. in Operations Research, and M.S. and Ph.D. in electrical engineering, all from Stanford University, Stanford, California.

Discrete Wavelet Transformations

Author : Patrick J. Van Fleet
Publisher : John Wiley & Sons
ISBN 13 : 1118030664
Total Pages : 570 pages
Book Rating : 4.1/5 (18 download)

DOWNLOAD NOW!

Book Synopsis Discrete Wavelet Transformations by : Patrick J. Van Fleet

Download or read book Discrete Wavelet Transformations written by Patrick J. Van Fleet and published by John Wiley & Sons. This book was released on 2011-03-01 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: An "applications first" approach to discrete wavelettransformations Discrete Wavelet Transformations provides readers with a broadelementary introduction to discrete wavelet transformations andtheir applications. With extensive graphical displays, thisself-contained book integrates concepts from calculus and linearalgebra into the construction of wavelet transformations and theirvarious applications, including data compression, edge detection inimages, and signal and image denoising. The book begins with a cursory look at wavelet transformationdevelopment and illustrates its allure in digital signal and imageapplications. Next, a chapter on digital image basics, quantitativeand qualitative measures, and Huffman coding equips readers withthe tools necessary to develop a comprehensive understanding of theapplications. Subsequent chapters discuss the Fourier series,convolution, and filtering, as well as the Haar wavelet transformto introduce image compression and image edge detection. Thedevelopment of Daubechies filtersis presented in addition tocoverage of wavelet shrinkage in the area of image and signaldenoising. The book concludes with the construction of biorthogonalfilters and also describes their incorporation in the JPEG2000image compression standard. The author's "applications first" approach promotes a hands-ontreatment of wavelet transforma-tion construction, and over 400exercises are presented in a multi-part format that guide readersthrough the solution to each problem. Over sixty computer labs andsoftware development projects provide opportunities for readers towrite modules and experiment with the ideas discussed throughoutthe text. The author's software package, DiscreteWavelets, is usedto perform various imaging and audio tasks, compute wavelettransformations and inverses, and visualize the output of thecomputations. Supplementary material is also available via thebook's related Web site, which includes an audio and videorepository, final project modules, and softwarefor reproducingexamples from the book. All software, including theDiscreteWavelets package, is available for use withMathematica®, MATLAB®, and Maple. Discrete Wavelet Transformations strongly reinforces the use ofmathematics in digital data applications, sharpens programmingskills, and provides a foundation for further study of moreadvanced topics, such as real analysis. This book is ideal forcourses on discrete wavelet transforms and their applications atthe undergraduate level and also serves as an excellent referencefor mathematicians, engineers, and scientists who wish to learnabout discrete wavelet transforms at an elementary level.

Wavelet Transforms and Localization Operators

Author : M.-W. Wong
Publisher : Birkhäuser
ISBN 13 : 3034882173
Total Pages : 164 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!

Book Synopsis Wavelet Transforms and Localization Operators by : M.-W. Wong

Download or read book Wavelet Transforms and Localization Operators written by M.-W. Wong and published by Birkhäuser. This book was released on 2012-12-06 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on lectures given at the Global Analysis Research Center (GARC) of Seoul National University in 1999and at Peking University in 1999and 2000. Preliminary versions of the book have been used for various topics courses in analysis for graduate students at York University. We study in this book wavelet transforms and localization operators in the context of infinite-dimensional and square-integrable representations of locally compact and Hausdorffgroups. The wavelet transforms studied in this book, which include the ones that come from the Weyl-Heisenberg group and the well-known affine group, are the building blocks of localization operators. The theme that dominates the book is the spectral theory of wavelet transforms and localization operators in the form of Schatten-von Neumann norm inequalities. Several chap ters are also devoted to the product formulas for concrete localization operators such as Daubechies operators and wavelet multipliers. This book is a natural sequel to the book on pseudo-differential operators [103] and the book on Weyl transforms [102] by the author. Indeed, localization operators on the Weyl-Heisenberg group are Weyl transforms, which are in fact pseudo-differential operators. Details on the perspective and the organization of the book are laid out in the first chapter. This is a book on mathematics and is written for anyone who has taken basic graduate courses in measure theory and functional analysis. Some knowledge of group theory and general topology at the undergraduate level is also assumed.

Abstract Harmonic Analysis of Continuous Wavelet Transforms

Author : Hartmut Führ
Publisher : Springer
ISBN 13 : 3540315527
Total Pages : 193 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Abstract Harmonic Analysis of Continuous Wavelet Transforms by : Hartmut Führ

Download or read book Abstract Harmonic Analysis of Continuous Wavelet Transforms written by Hartmut Führ and published by Springer. This book was released on 2005-01-17 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a systematic discussion of wavelet-type inversion formulae based on group representations, and their close connection to the Plancherel formula for locally compact groups. The connection is demonstrated by the discussion of a toy example, and then employed for two purposes: Mathematically, it serves as a powerful tool, yielding existence results and criteria for inversion formulae which generalize many of the known results. Moreover, the connection provides the starting point for a – reasonably self-contained – exposition of Plancherel theory. Therefore, the volume can also be read as a problem-driven introduction to the Plancherel formula.

The Illustrated Wavelet Transform Handbook

Author : Paul S Addison
Publisher : CRC Press
ISBN 13 : 9781420033397
Total Pages : 384 pages
Book Rating : 4.0/5 (333 download)

DOWNLOAD NOW!

Book Synopsis The Illustrated Wavelet Transform Handbook by : Paul S Addison

Download or read book The Illustrated Wavelet Transform Handbook written by Paul S Addison and published by CRC Press. This book was released on 2002-07-15 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance provides an overview of the theory and practical applications of wavelet transform methods. The author uses several hundred illustrations, some in color, to convey mathematical concepts and the results of applications. The first chapter presents a brief overview of the wavelet transform, including a short history. The remainder of the book is split into two parts: the first part discusses the mathematics of both discrete and continuous wavelet transforms while the second part deals with applications in a variety of subject areas, such as geophysics, medicine, fluid turbulence, engineering testing, speech and sound analysis, image analysis, and data compression. These application chapters make the reader aware of the similarities that exist in the use of wavelet transform analysis across disciplines. A comprehensive list of more than 700 references provides a valuable resource for further study. The book is designed specifically for the applied reader in science, engineering, medicine, finance, or any other of the growing number of application areas. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, providing a large number of examples of their use across a wide range of disciplines. Readers already acquainted with wavelets can use the book to broaden their perspective.

An Introduction to Wavelets

Author : Charles K. Chui
Publisher : Elsevier
ISBN 13 : 1483282864
Total Pages : 278 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Wavelets by : Charles K. Chui

Download or read book An Introduction to Wavelets written by Charles K. Chui and published by Elsevier. This book was released on 2016-06-03 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelet 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.

Ten Lectures on Wavelets

Author : Ingrid Daubechies
Publisher : SIAM
ISBN 13 : 9781611970104
Total Pages : 357 pages
Book Rating : 4.9/5 (71 download)

DOWNLOAD NOW!

Book Synopsis Ten Lectures on Wavelets by : Ingrid Daubechies

Download or read book Ten Lectures on Wavelets written by Ingrid Daubechies and published by SIAM. This book was released on 1992-01-01 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets are a mathematical development that may revolutionize the world of information storage and retrieval according to many experts. They are a fairly simple mathematical tool now being applied to the compression of data--such as fingerprints, weather satellite photographs, and medical x-rays--that were previously thought to be impossible to condense without losing crucial details. This monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. The author has worked on several aspects of the wavelet transform and has developed a collection of wavelets that are remarkably efficient.

Subband and Wavelet Transforms

Author : Ali N. Akansu
Publisher : Springer Science & Business Media
ISBN 13 : 1461304830
Total Pages : 459 pages
Book Rating : 4.4/5 (613 download)

DOWNLOAD NOW!

Book Synopsis Subband and Wavelet Transforms by : Ali N. Akansu

Download or read book Subband and Wavelet Transforms written by Ali N. Akansu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scientists and engineers of today are relentless in their continuing study and analysis of the world about us from the microcosm to the macrocosm. A central purpose of this study is to gain sufficient scientific information and insight to enable the development of both representative and useful models of the superabundance of physical processes that surround us. The engineers need these models and the associated insight in order to build the information processing systems and control systems that comprise these new and emerging technologies. Much of the early modeling work that has been done on these systems has been based on the linear time-invariant system theory and its extensive use of Fourier transform theory for both continuous and discrete systems and signals. However many of the signals arising in nature and real systems are neither stationary nor linear but tend to be concentrated in both time and frequency. Hence a new methodology is needed to take these factors properly into account.

THE WAVELET TRANSFORM

Author : Ram Shankar Pathak
Publisher : Springer Science & Business Media
ISBN 13 : 9491216244
Total Pages : 189 pages
Book Rating : 4.4/5 (912 download)

DOWNLOAD NOW!

Book Synopsis THE WAVELET TRANSFORM by : Ram Shankar Pathak

Download or read book THE WAVELET TRANSFORM written by Ram Shankar Pathak and published by Springer Science & Business Media. This book was released on 2009-11-01 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The wavelet transform has emerged as one of the most promising function transforms with great potential in applications during the last four decades. The present monograph is an outcome of the recent researches by the author and his co-workers, most of which are not available in a book form. Nevertheless, it also contains the results of many other celebrated workers of the ?eld. The aim of the book is to enrich the theory of the wavelet transform and to provide new directions for further research in theory and applications of the wavelet transform. The book does not contain any sophisticated Mathematics. It is intended for graduate students of Mathematics, Physics and Engineering sciences, as well as interested researchers from other ?elds. The Fourier transform has wide applications in Pure and Applied Mathematics, Physics and Engineering sciences; but sometimes one has to make compromise with the results obtainedbytheFouriertransformwiththephysicalintuitions. ThereasonisthattheFourier transform does not re?ect the evolution over time of the (physical) spectrum and thus it contains no local information. The continuous wavelet transform (W f)(b,a), involving ? wavelet ?, translation parameterb and dilation parametera, overcomes these drawbacks of the Fourier transform by representing signals (time dependent functions) in the phase space (time/frequency) plane with a local frequency resolution. The Fourier transform is p n restricted to the domain L (R ) with 1 p 2, whereas the wavelet transform can be de?ned for 1 p

Wavelet Transforms and Time-Frequency Signal Analysis

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
ISBN 13 : 1461201373
Total Pages : 444 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Wavelet Transforms and Time-Frequency Signal Analysis by : Lokenath Debnath

Download or read book Wavelet Transforms and Time-Frequency Signal Analysis written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last fifteen years have produced major advances in the mathematical theory of wavelet transforms and their applications to science and engineering. In an effort to inform researchers in mathematics, physics, statistics, computer science, and engineering and to stimulate furtherresearch, an NSF-CBMS Research Conference on Wavelet Analysis was organized at the University of Central Florida in May 1998. Many distinguished mathematicians and scientists from allover the world participated in the conference and provided a digest of recent developments, open questions, and unsolved problems in this rapidly growing and important field. As a follow-up project, this monograph was developed from manuscripts sub mitted by renowned mathematicians and scientists who have made important contributions to the subject of wavelets, wavelet transforms, and time-frequency signal analysis. This publication brings together current developments in the theory and applications of wavelet transforms and in the field of time-frequency signal analysis that are likely to determine fruitful directions for future advanced study and research.

Discrete Wavelet Transform

Author : D. Sundararajan
Publisher : John Wiley & Sons
ISBN 13 : 1119046068
Total Pages : 339 pages
Book Rating : 4.1/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Discrete Wavelet Transform by : D. Sundararajan

Download or read book Discrete Wavelet Transform written by D. Sundararajan and published by John Wiley & Sons. This book was released on 2016-03-07 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 correlation, Fourier transform, FIR filter, orthogonal and biorthogonal filters Organized systematically, starting from the fundamentals of signal processing to the more advanced topics of DWT and Discrete Wavelet Packet Transform. Written in a clear and concise manner with abundant examples, figures and detailed explanations Features a companion website that has several MATLAB programs for the implementation of the DWT with commonly used filters “This well-written textbook is an introduction to the theory of discrete wavelet transform (DWT) and its applications in digital signal and image processing.” -- Prof. Dr. Manfred Tasche - Institut für Mathematik, Uni Rostock Full review at https://zbmath.org/?q=an:06492561

The Illustrated Wavelet Transform Handbook

Author : Paul S. Addison
Publisher : CRC Press
ISBN 13 : 1315355280
Total Pages : 551 pages
Book Rating : 4.3/5 (153 download)

DOWNLOAD NOW!

Book Synopsis The Illustrated Wavelet Transform Handbook by : Paul S. Addison

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 551 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.

Multiresolution Signal Decomposition

Author : Paul A. Haddad
Publisher : Academic Press
ISBN 13 : 0323138365
Total Pages : 376 pages
Book Rating : 4.3/5 (231 download)

DOWNLOAD NOW!

Book Synopsis Multiresolution Signal Decomposition by : Paul A. Haddad

Download or read book Multiresolution Signal Decomposition written by Paul A. Haddad and published by Academic Press. This book was released on 2012-12-02 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth, integrated, and up-to-date exposition of the topic of signal decomposition techniques. Application areas of these techniques include speech and image processing, machine vision, information engineering, High-Definition Television, and telecommunications. The book will serve as the major reference for those entering the field, instructors teaching some or all of the topics in an advanced graduate course and researchers needing to consult an authoritative source. n The first book to give a unified and coherent exposition of multiresolutional signal decomposition techniques n Classroom tested textbook clearly describes the commonalities among three key methods-transform coding, and wavelet transforms n Gives comparative performance evaluations of many proposed techniques

Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing

Author : Roe W Goodman
Publisher : World Scientific Publishing Company
ISBN 13 : 981472579X
Total Pages : 300 pages
Book Rating : 4.8/5 (147 download)

DOWNLOAD NOW!

Book Synopsis Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing by : Roe W Goodman

Download or read book Discrete Fourier And Wavelet Transforms: An Introduction Through Linear Algebra With Applications To Signal Processing written by Roe W Goodman and published by World Scientific Publishing Company. This book was released on 2016-01-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Fourier matrix to extract frequency information from a digital signal and how to use circulant matrices to emphasize selected frequency ranges. It introduces discrete wavelet transforms for digital signals through the lifting method and illustrates through examples and computer explorations how these transforms are used in signal and image processing. Then the general theory of discrete wavelet transforms is developed via the matrix algebra of two-channel filter banks. Finally, wavelet transforms for analog signals are constructed based on filter bank results already presented, and the mathematical framework of multiresolution analysis is examined.

Wavelet Transforms

Author : Firdous A. Shah
Publisher : CRC Press
ISBN 13 : 100077161X
Total Pages : 502 pages
Book Rating : 4.0/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Wavelet Transforms by : Firdous A. Shah

Download or read book Wavelet Transforms written by Firdous A. Shah and published by CRC Press. This book was released on 2022-11-28 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 it systematically encompasses the theory of Fourier transforms, wavelet transforms, geometrical wavelet transforms and their ramifications. The authors intend to motivate and stimulate interest among mathematicians, computer scientists, engineers and physical, chemical and biological scientists. The text is written from the ground up with target readers being senior undergraduate and first-year graduate students and it can serve as a reference for professionals in mathematics, engineering and applied sciences. Features Flexibility in the book’s organization enables instructors to select chapters appropriate to courses of different lengths, emphasis and levels of difficulty Self-contained, the text provides an impetus to the contemporary developments in the signal processing aspects of wavelet theory at the forefront of research A large number of worked-out examples are included Every major concept is presented with explanations, limitations and subsequent developments, with emphasis on applications in science and engineering A wide range of exercises are incoporated in varying levels from elementary to challenging so readers may develop both manipulative skills in theory wavelets and deeper insight Answers and hints for selected exercises appear at the end The origin of the theory of wavelet transforms dates back to the 1980s as an outcome of the intriguing efforts of mathematicians, physicists and engineers. Owing to the lucid mathematical framework and versatile applicability, the theory of wavelet transforms is now a nucleus of shared aspirations and ideas.