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Author: Raghuveer M. Rao Publisher: Pearson Education India ISBN: 9788131705315 Category : Signal processing Languages : en Pages : 320
Book Description
This Book Identifies Problems For Which Wavelet Transform Techniques Are Well-Suited, Shows How To Implement Wavelet Transforms Efficiently, And Explains How To Choose Or Design Appropriate Wavelets For A Given Application. Practical In Their Approach, The Authors Present The Material In A Visual And Comprehensive Manner, Using Geometric Analogies And Filtering Concepts. The Book Is Written In A Language Familiar To Readers With A Basic Undergraduate Engineering Degree.
Author: Raghuveer M. Rao Publisher: Pearson Education India ISBN: 9788131705315 Category : Signal processing Languages : en Pages : 320
Book Description
This Book Identifies Problems For Which Wavelet Transform Techniques Are Well-Suited, Shows How To Implement Wavelet Transforms Efficiently, And Explains How To Choose Or Design Appropriate Wavelets For A Given Application. Practical In Their Approach, The Authors Present The Material In A Visual And Comprehensive Manner, Using Geometric Analogies And Filtering Concepts. The Book Is Written In A Language Familiar To Readers With A Basic Undergraduate Engineering Degree.
Author: Charles K. Chui Publisher: Elsevier ISBN: 1483282864 Category : Science Languages : en Pages : 278
Book Description
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.
Author: Lokenath Debnath Publisher: Springer ISBN: 0817684182 Category : Technology & Engineering Languages : en Pages : 553
Book Description
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.
Author: David F. Walnut Publisher: Springer Science & Business Media ISBN: 1461200016 Category : Computers Languages : en Pages : 453
Book Description
This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases. It motivates the central ideas of wavelet theory by offering a detailed exposition of the Haar series, then shows how a more abstract approach allows readers to generalize and improve upon the Haar series. It then presents a number of variations and extensions of Haar construction.
Author: Jaideva C. Goswami Publisher: John Wiley & Sons ISBN: 9780470934647 Category : Computers Languages : en Pages : 359
Book Description
Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of: a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc a section on lifting algorithms Sections on Edge Detection and Geophysical Applications Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems
Author: David K. Ruch Publisher: John Wiley & Sons ISBN: 1118165667 Category : Mathematics Languages : en Pages : 504
Book Description
A self-contained, elementary introduction to wavelet theory andapplications Exploring the growing relevance of wavelets in the field ofmathematics, Wavelet Theory: An Elementary Approach withApplications provides an introduction to the topic, detailing thefundamental concepts and presenting its major impacts in the worldbeyond academia. Drawing on concepts from calculus and linearalgebra, this book helps readers sharpen their mathematical proofwriting and reading skills through interesting, real-worldapplications. The book begins with a brief introduction to the fundamentals ofcomplex numbers and the space of square-integrable functions. Next,Fourier series and the Fourier transform are presented as tools forunderstanding wavelet analysis and the study of wavelets in thetransform domain. Subsequent chapters provide a comprehensivetreatment of various types of wavelets and their related concepts,such as Haar spaces, multiresolution analysis, Daubechies wavelets,and biorthogonal wavelets. In addition, the authors include twochapters that carefully detail the transition from wavelet theoryto the discrete wavelet transformations. To illustrate therelevance of wavelet theory in the digital age, the book includestwo in-depth sections on current applications: the FBI WaveletScalar Quantization Standard and image segmentation. In order to facilitate mastery of the content, the book featuresmore than 400 exercises that range from theoretical tocomputational in nature and are structured in a multi-part formatin order to assist readers with the correct proof or solution.These problems provide an opportunity for readers to furtherinvestigate various applications of wavelets. All problems arecompatible with software packages and computer labs that areavailable on the book's related Web site, allowing readers toperform various imaging/audio tasks, explore computer wavelettransformations and their inverses, and visualize the applicationsdiscussed throughout the book. Requiring only a prerequisite knowledge of linear algebra andcalculus, Wavelet Theory is an excellent book for courses inmathematics, engineering, and physics at the upper-undergraduatelevel. It is also a valuable resource for mathematicians,engineers, and scientists who wish to learn about wavelet theory onan elementary level.
Author: Roe W Goodman Publisher: World Scientific Publishing Company ISBN: 981472579X Category : Mathematics Languages : en Pages : 300
Book Description
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.
Author: C. S. Burrus Publisher: Pearson ISBN: Category : Mathematics Languages : en Pages : 294
Book Description
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.
Author: Nirdosh Bhatnagar Publisher: CRC Press ISBN: 1000768619 Category : Computers Languages : en Pages : 456
Book Description
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.
Author: Raghuveer M. Rao
Author: Raghuveer M. Rao
Author: Raghuveer M. Rao
Author: Charles K. Chui
Author: Lokenath Debnath
Author: David F. Walnut
Author: Jaideva C. Goswami
Author: David K. Ruch
Author: Roe W Goodman
Author: C. S. Burrus
Author: Nirdosh Bhatnagar