Wavelet Theory: An Elementary Approach with Applications
()
About this ebook
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. Drawing on concepts from calculus and linear algebra, this book helps readers sharpen their mathematical proof writing and reading skills through interesting, real-world applications.
The book begins with a brief introduction to the fundamentals of complex numbers and the space of square-integrable functions. Next, Fourier series and the Fourier transform are presented as tools for understanding wavelet analysis and the study of wavelets in the transform domain. Subsequent chapters provide a comprehensive treatment 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 two chapters that carefully detail the transition from wavelet theory to the discrete wavelet transformations. To illustrate the relevance of wavelet theory in the digital age, the book includes two in-depth sections on current applications: the FBI Wavelet Scalar Quantization Standard and image segmentation.
In order to facilitate mastery of the content, the book features more than 400 exercises that range from theoretical to computational in nature and are structured in a multi-part format in order to assist readers with the correct proof or solution. These problems provide an opportunity for readers to further investigate various applications of wavelets. All problems are compatible with software packages and computer labs that are available on the book's related Web site, allowing readers to perform various imaging/audio tasks, explore computer wavelet transformations and their inverses, and visualize the applications discussed throughout the book.
Requiring only a prerequisite knowledge of linear algebra and calculus, Wavelet Theory is an excellent book for courses in mathematics, engineering, and physics at the upper-undergraduate level. It is also a valuable resource for mathematicians, engineers, and scientists who wish to learn about wavelet theory on an elementary level.
Related to Wavelet Theory
Related ebooks
An Introduction to Numerical Analysis for Electrical and Computer Engineers Rating: 0 out of 5 stars0 ratingsDiscrete Wavelet Transformations: An Elementary Approach with Applications Rating: 0 out of 5 stars0 ratingsBuilding and Solving Mathematical Programming Models in Engineering and Science Rating: 4 out of 5 stars4/5Analysis in Vector Spaces Rating: 0 out of 5 stars0 ratingsIEEE 802 Wireless Systems: Protocols, Multi-Hop Mesh / Relaying, Performance and Spectrum Coexistence Rating: 0 out of 5 stars0 ratingsGreen's Functions and Boundary Value Problems Rating: 0 out of 5 stars0 ratingsSolution Processing of Inorganic Materials Rating: 0 out of 5 stars0 ratingsDesign of Integrated Circuits for Optical Communications Rating: 0 out of 5 stars0 ratingsWave Scattering by Time-Dependent Perturbations: An Introduction Rating: 5 out of 5 stars5/5Random Graphs for Statistical Pattern Recognition Rating: 0 out of 5 stars0 ratingsA Matrix Handbook for Statisticians Rating: 0 out of 5 stars0 ratingsIntroduction to RF Propagation Rating: 5 out of 5 stars5/5Modern Receiver Front-Ends: Systems, Circuits, and Integration Rating: 0 out of 5 stars0 ratingsNumerical Sound Synthesis: Finite Difference Schemes and Simulation in Musical Acoustics Rating: 0 out of 5 stars0 ratingsAsynchronous Circuit Design Rating: 0 out of 5 stars0 ratingsMicrowave Devices, Circuits and Subsystems for Communications Engineering Rating: 4 out of 5 stars4/5Geometrical Foundations of Asymptotic Inference Rating: 0 out of 5 stars0 ratingsPrinciples of Laser Materials Processing Rating: 0 out of 5 stars0 ratingsStatistical Modeling by Wavelets Rating: 0 out of 5 stars0 ratingsTopology: Point-Set and Geometric Rating: 0 out of 5 stars0 ratingsIntroduction to Electromagnetic Compatibility Rating: 3 out of 5 stars3/5Fundamentals of Distributed Object Systems: The CORBA Perspective Rating: 0 out of 5 stars0 ratingsA First Course in Applied Mathematics Rating: 0 out of 5 stars0 ratingsUltra Wideband Signals and Systems in Communication Engineering Rating: 0 out of 5 stars0 ratingsWave Propagation: From Electrons to Photonic Crystals and Left-Handed Materials Rating: 0 out of 5 stars0 ratingsAn Introduction to Linear Programming and Game Theory Rating: 0 out of 5 stars0 ratingsDesigning Indoor Solar Products: Photovoltaic Technologies for AES Rating: 0 out of 5 stars0 ratingsiPhone SDK 3 Programming: Advanced Mobile Development for Apple iPhone and iPod touch Rating: 0 out of 5 stars0 ratingsIntroduction to Digital Signal Processing and Filter Design Rating: 0 out of 5 stars0 ratingsPeriodically Correlated Random Sequences: Spectral Theory and Practice Rating: 0 out of 5 stars0 ratings
Mathematics For You
Algebra - The Very Basics Rating: 5 out of 5 stars5/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5What If?: Serious Scientific Answers to Absurd Hypothetical Questions Rating: 5 out of 5 stars5/5Algorithms to Live By: The Computer Science of Human Decisions Rating: 4 out of 5 stars4/5Summary of The Black Swan: by Nassim Nicholas Taleb | Includes Analysis Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5How to Solve It: A New Aspect of Mathematical Method Rating: 4 out of 5 stars4/5Calculus For Dummies Rating: 4 out of 5 stars4/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5My Best Mathematical and Logic Puzzles Rating: 4 out of 5 stars4/5Think Like A Maths Genius: The Art of Calculating in Your Head Rating: 0 out of 5 stars0 ratingsMathematics for the Nonmathematician Rating: 4 out of 5 stars4/5The Art of Statistical Thinking Rating: 5 out of 5 stars5/5How Minds Change: The New Science of Belief, Opinion and Persuasion Rating: 0 out of 5 stars0 ratingsLearn Game Theory: Strategic Thinking Skills, #1 Rating: 5 out of 5 stars5/5Introductory Discrete Mathematics Rating: 4 out of 5 stars4/5Fermat’s Last Theorem Rating: 4 out of 5 stars4/5Statistics: a QuickStudy Laminated Reference Guide Rating: 0 out of 5 stars0 ratingsThe Art of Logic: How to Make Sense in a World that Doesn't Rating: 0 out of 5 stars0 ratingsVedic Mathematics Made Easy Rating: 4 out of 5 stars4/5The Shape of a Life: One Mathematician's Search for the Universe's Hidden Geometry Rating: 3 out of 5 stars3/5Geometry For Dummies Rating: 4 out of 5 stars4/5Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5The Cartoon Introduction to Calculus Rating: 5 out of 5 stars5/5Calculus Made Easy Rating: 4 out of 5 stars4/5
Reviews for Wavelet Theory
0 ratings0 reviews