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Fundamentals of Wavelets

Author : Jaideva C. Goswami

Publisher : John Wiley & Sons

Page : 310 pages

File Size : 27,36 MB

Release : 2011-03-08

Category : Computers

ISBN : 0470934646

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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



Fundamentals Of Wavelets:Theory, Algorithms And Applications

Author : Goswami

Publisher :

Page : 324 pages

File Size : 36,42 MB

Release : 2006-11-21

Category :

ISBN : 9788126510320

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Book Description

Fundamentals of Wavelets offer a practical, up-to-date overview of wavelet theory from an engineering point of view. Based on courses taught by the authors at Texas A&M University and at professional, international, technical conferences, this accessible yet detailed treatment provides readers with a clear understanding of the theory and the application of wavelet analysis in many areas of engineering. · Mathematical Preliminaries· Fourier Analysis· Time-Frequency Analysis· Multi resolution Analysis· Construction of Wavelets· Discrete Wavelet Transform and Filter Bank Algorithms· Fast Integral Transform and Applications· Digital Signal Processing Applications· Wavelets in Boundary Value Problems



Wavelets and Subbands

Author : Agostino Abbate

Publisher : Springer Science & Business Media

Page : 562 pages

File Size : 43,37 MB

Release : 2012-12-06

Category : Mathematics

ISBN : 1461201136

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Book Description

This book presents connections between the different aspects of wavelet and subband theory.



Wavelets

Author : John J. Benedetto

Publisher : CRC Press

Page : 586 pages

File Size : 23,39 MB

Release : 2021-07-28

Category : Mathematics

ISBN : 1000443469

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Book Description

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.



Computational Signal Processing with Wavelets

Author : Anthony Teolis

Publisher : Birkhäuser

Page : 345 pages

File Size : 36,31 MB

Release : 2017-10-02

Category : Mathematics

ISBN : 331965747X

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Book Description

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 abstractions and details. From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification. Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) that is available on the World Wide Web. Topics and Features Continuous wavelet and Gabor transforms Frame-based theory of discretization and reconstruction of analog signals is developed New and efficient "overcomplete" wavelet transform is introduced and applied Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) available This book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems. Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools. The present, softcover reprint is designed to make this classic textbook available to a wider audience. A self-contained text that is theoretically rigorous while maintaining contact with interesting applications. A particularly noteworthy topic...is a class of ‘overcomplete wavelets’. These functions are not orthonormal and they lead to many useful results. —Journal of Mathematical Psychology



Wavelets

Author : Amir-Homayoon Najmi

Publisher : JHU Press

Page : 303 pages

File Size : 39,61 MB

Release : 2012-04-15

Category : Mathematics

ISBN : 1421405598

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Book Description

Introduced nearly three decades ago as a variable resolution alternative to the Fourier transform, a wavelet is a short oscillatory waveform for analysis of transients. The discrete wavelet transform has remarkable multi-resolution and energy-compaction properties. Amir-Homayoon Najmi’s introduction to wavelet theory explains this mathematical concept clearly and succinctly. Wavelets are used in processing digital signals and imagery from myriad sources. They form the backbone of the JPEG2000 compression standard, and the Federal Bureau of Investigation uses biorthogonal wavelets to compress and store its vast database of fingerprints. Najmi provides the mathematics that demonstrate how wavelets work, describes how to construct them, and discusses their importance as a tool to investigate and process signals and imagery. He reviews key concepts such as frames, localizing transforms, orthogonal and biorthogonal bases, and multi-resolution. His examples include the Haar, the Shannon, and the Daubechies families of orthogonal and biorthogonal wavelets. Our capacity and need for collecting and transmitting digital data is increasing at an astonishing rate. So too is the importance of wavelets to anyone working with and analyzing digital data. Najmi’s primer will be an indispensable resource for those in computer science, the physical sciences, applied mathematics, and engineering who wish to obtain an in-depth understanding and working knowledge of this fascinating and evolving field.



Ten Lectures on Wavelets

Author : Ingrid Daubechies

Publisher : SIAM

Page : 357 pages

File Size : 43,34 MB

Release : 1992-01-01

Category : Science

ISBN : 9781611970104

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Book Description

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.



Wavelet Theory

Author : Somayeh Mohammady

Publisher : BoD – Books on Demand

Page : 399 pages

File Size : 26,79 MB

Release : 2021-02-24

Category : Mathematics

ISBN : 1838819479

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Book Description

The wavelet is a powerful mathematical tool that plays an important role in science and technology. 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 management, and COVID-19 pandemic measurements and calculations. The editor’s personal interest is the application of wavelet transform to identify time domain changes on signals and corresponding frequency components and in improving power amplifier behavior.



Radio Propagation and Adaptive Antennas for Wireless Communication Networks

Author : Nathan Blaunstein

Publisher : John Wiley & Sons

Page : 40 pages

File Size : 22,19 MB

Release : 2014-04-03

Category : Technology & Engineering

ISBN : 1118816722

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Book Description

Radio Propagation and Adaptive Antennas for Wireless Communication Networks, 2nd Edition, presents a comprehensive overview of wireless communication system design, including the latest updates to considerations of over-the-terrain, atmospheric, and ionospheric communication channels. New features include the latest experimentally-verified stochastic approach, based on several multi-parametric models; all-new chapters on wireless network fundamentals, advanced technologies, and current and modern multiple access networks; and helpful problem sets at the conclusion of each chapter to enhance clarity. The volume’s emphasis remains on a thorough examination of the role of obstructions on the corresponding propagation phenomena that influence the transmission of radio signals through line-of-sight (LOS) and non-line-of-sight (NLOS) propagation conditions along the radio path between the transmitter and the receiver antennas—and how adaptive antennas, used at the link terminals, can be used to minimize the deleterious effects of such obstructions. With its focus on 3G, 4G, MIMO, and the latest wireless technologies, Radio Propagation and Adaptive Antennas for Wireless Communication Networks represents an invaluable resource to topics critical to the design of contemporary wireless communication systems. Explores novel wireless networks beyond 3G, and advanced 4G technologies, such as MIMO, via propagation phenomena and the fundamentals of adapted antenna usage. Explains how adaptive antennas can improve GoS and QoS for any wireless channel, with specific examples and applications in land, aircraft and satellite communications. Introduces new stochastic approach based on several multi-parametric models describing various terrestrial scenarios, which have been experimentally verified in different environmental conditions New chapters on fundamentals of wireless networks, cellular and non-cellular, multiple access networks, new applications of adaptive antennas for positioning, and localization of subscribers Includes the addition of problem sets at the end of chapters describing fundamental aspects of wireless communication and antennas.



Microwave Noncontact Motion Sensing and Analysis

Author : Changzhi Li

Publisher : John Wiley & Sons

Page : 238 pages

File Size : 25,18 MB

Release : 2013-09-05

Category : Technology & Engineering

ISBN : 1118742567

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Book Description

An authoritative guide to the theory, technologies, and state-of-the-art applications in microwave noncontact sensing and analysis Engineering researchers have recently developed exciting advances in microwave noncontact sensing and analysis, with new applications in fields ranging from medicine to structural engineering, manufacturing to transportation. This book provides an authoritative look at the current state-of-the-art in the field. Drawing upon their years of experience in both cutting-edge research and industry applications, the authors address microwave radar for both noncontact vital sign detection and mechanical movement measurement. They explore key advances in everyday applications of microwave and Doppler radar, especially in the areas of radio frequency technologies, microelectronic fabrication processes, and signal processing hardware and algorithms. Microwave Noncontact Motion Sensing and Analysis: Reviews the theory and technical basics, from electromagnetic propagation to signal processing Discusses all major types of motion sensing radar, including Doppler, pulse, and FMCW Explores important advances in detection and analysis techniques Uses numerous case studies to illustrate current applications in an array of fields Provides integrated coverage of human vital sign detection, through-wall radar, and Doppler vibrometry Offers a well-informed look at emerging technologies and the shape of things to come An important resource for engineers and researchers with a professional interest in micro-wave sensing technology, Microwave Noncontact Motion Sensing and Analysis is also a source of insight and guidance for professionals in healthcare, transportation safety, the military, and law enforcement.