Haar Wavelets PDF Download
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| Author | : Ülo Lepik |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 209 |
| Release | : 2014-01-09 |
| Genre | : Technology & Engineering |
| ISBN | : 3319042955 |
Download Haar Wavelets Book in PDF, ePub and Kindle
This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems. Haar wavelet-based solutions for a wide range of problems, such as various differential and integral equations, fractional equations, optimal control theory, buckling, bending and vibrations of elastic beams are considered. Numerical examples demonstrating the efficiency and accuracy of the Haar method are provided for all solutions.
| Author | : P. Wojtaszczyk |
| Publisher | : Cambridge University Press |
| Total Pages | : 280 |
| Release | : 1997-02-13 |
| Genre | : Mathematics |
| ISBN | : 9780521578943 |
Download A Mathematical Introduction to Wavelets Book in PDF, ePub and Kindle
The only introduction to wavelets that doesn't avoid the tough mathematical questions.
| Author | : Przemysław Sliwinski |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 146 |
| Release | : 2012-10-12 |
| Genre | : Mathematics |
| ISBN | : 3642293964 |
Download Nonlinear System Identification by Haar Wavelets Book in PDF, ePub and Kindle
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 impractical, mainly due to their computational complexity. One of the alternatives offering fast identification algorithms is the block-oriented approach, in which systems of relatively simple structures are considered. The book provides nonparametric identification algorithms designed for such systems together with the description of their asymptotic and computational properties.
| Author | : Yves Nievergelt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 303 |
| Release | : 2012-11-09 |
| Genre | : Mathematics |
| ISBN | : 1461460069 |
Download Wavelets Made Easy Book in PDF, ePub and Kindle
Originally published in 1999, Wavelets Made Easy offers a lucid and concise explanation of mathematical wavelets. Written at the level of a first course in calculus and linear algebra, its accessible presentation is designed for undergraduates in a variety of disciplines—computer science, engineering, mathematics, mathematical sciences—as well as for practicing professionals in these areas. The present softcover reprint retains the corrections from the second printing (2001) and makes this unique text available to a wider audience. The first chapter starts with a description of the key features and applications of wavelets, focusing on Haar's wavelets but using only high-school mathematics. The next two chapters introduce one-, two-, and three-dimensional wavelets, with only the occasional use of matrix algebra. The second part of this book provides the foundations of least-squares approximation, the discrete Fourier transform, and Fourier series. The third part explains the Fourier transform and then demonstrates how to apply basic Fourier analysis to designing and analyzing mathematical wavelets. Particular attention is paid to Daubechies wavelets. Numerous exercises, a bibliography, and a comprehensive index combine to make this book an excellent text for the classroom as well as a valuable resource for self-study.
| Author | : John J. Benedetto |
| Publisher | : CRC Press |
| Total Pages | : 590 |
| Release | : 1993-09-27 |
| Genre | : Mathematics |
| ISBN | : 9780849382710 |
Download Wavelets Book in PDF, ePub and Kindle
Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete settings is covered. The theory of frames, dilation equations, and local Fourier bases are also presented. The second part of the book discusses applications in signal analysis, while the third part covers operator analysis and partial differential equations. Each chapter in these sections provides an up-to-date introduction to such topics as sampling theory, probability and statistics, compression, numerical analysis, turbulence, operator theory, and harmonic analysis. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians.
| Author | : Charles K. Chui |
| Publisher | : SIAM |
| Total Pages | : 223 |
| Release | : 1997-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898713846 |
Download Wavelets Book in PDF, ePub and Kindle
Mathematically rigorous monograph on wavelets, written specifically for nonspecialists. Places the reader at the forefront of current research.
| Author | : Alexander D. Poularikas |
| Publisher | : CRC Press |
| Total Pages | : 911 |
| Release | : 2018-09-03 |
| Genre | : Mathematics |
| ISBN | : 1420066536 |
Download Transforms and Applications Handbook Book in PDF, ePub and Kindle
Updating the original, Transforms and Applications Handbook, Third Edition solidifies its place as the complete resource on those mathematical transforms most frequently used by engineers, scientists, and mathematicians. Highlighting the use of transforms and their properties, this latest edition of the bestseller begins with a solid introduction to signals and systems, including properties of the delta function and some classical orthogonal functions. It then goes on to detail different transforms, including lapped, Mellin, wavelet, and Hartley varieties. Written by top experts, each chapter provides numerous examples and applications that clearly demonstrate the unique purpose and properties of each type. The material is presented in a way that makes it easy for readers from different backgrounds to familiarize themselves with the wide range of transform applications. Revisiting transforms previously covered, this book adds information on other important ones, including: Finite Hankel, Legendre, Jacobi, Gengenbauer, Laguerre, and Hermite Fraction Fourier Zak Continuous and discrete Chirp-Fourier Multidimensional discrete unitary Hilbert-Huang Most comparable books cover only a few of the transforms addressed here, making this text by far the most useful for anyone involved in signal processing—including electrical and communication engineers, mathematicians, and any other scientist working in this field.
| Author | : Gilbert Strang |
| Publisher | : SIAM |
| Total Pages | : 556 |
| Release | : 1996-10-01 |
| Genre | : Technology & Engineering |
| ISBN | : 9780961408879 |
Download Wavelets and Filter Banks Book in PDF, ePub and Kindle
A comprehensive treatment of wavelets for both engineers and mathematicians.
| Author | : Yves Nievergelt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 297 |
| Release | : 2013-11-27 |
| Genre | : Mathematics |
| ISBN | : 1461205735 |
Download Wavelets Made Easy Book in PDF, ePub and Kindle
This book explains the nature and computation of mathematical wavelets, which provide a framework and methods for the analysis and the synthesis of signals, images, and other arrays of data. The material presented here addresses the au dience of engineers, financiers, scientists, and students looking for explanations of wavelets at the undergraduate level. It requires only a working knowledge or memories of a first course in linear algebra and calculus. The first part of the book answers the following two questions: What are wavelets? Wavelets extend Fourier analysis. How are wavelets computed? Fast transforms compute them. To show the practical significance of wavelets, the book also provides transitions into several applications: analysis (detection of crashes, edges, or other events), compression (reduction of storage), smoothing (attenuation of noise), and syn thesis (reconstruction after compression or other modification). Such applications include one-dimensional signals (sounds or other time-series), two-dimensional arrays (pictures or maps), and three-dimensional data (spatial diffusion). The ap plications demonstrated here do not constitute recipes for real implementations, but aim only at clarifying and strengthening the understanding of the mathematics of wavelets.
| Author | : Paul S. Addison |
| Publisher | : CRC Press |
| Total Pages | : 465 |
| Release | : 2017-01-06 |
| Genre | : Mathematics |
| ISBN | : 1482251337 |
Download The Illustrated Wavelet Transform Handbook Book in PDF, ePub and Kindle
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.
