Symmetries And Groups In Signal Processing
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Symmetries And Groups In Signal Processing
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Author : Virendra P. Sinha
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-23
Symmetries And Groups In Signal Processing written by Virendra P. Sinha and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-23 with Technology & Engineering categories.
Symmetries and Groups in Signal Processing: An Introduction deals with the subject of symmetry, and with its place and role in modern signal processing. In the sciences, symmetry considerations and related group theoretic techniques have had a place of central importance since the early twenties. In engineering, however, a matching recognition of their power is a relatively recent development. Despite that, the related literature, in the form of journal papers and research monographs, has grown enormously. A proper understanding of the concepts that have emerged in the process requires a mathematical background that goes beyond what is traditionally covered in an engineering undergraduate curriculum. Admittedly, there is a wide selection of excellent introductory textbooks on the subject of symmetry and group theory. But they are all primarily addressed to students of the sciences and mathematics, or to students of courses in mathematics. Addressed to students with an engineering background, this book is meant to help bridge the gap.
Symmetries And Groups In Contemporary Physics
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Author : Chengming Bai
language : en
Publisher: World Scientific
Release Date : 2013
Symmetries And Groups In Contemporary Physics written by Chengming Bai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics.
Numbers And Symmetry
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Author : Bernard L. Johnston
language : en
Publisher: CRC Press
Release Date : 2020-07-24
Numbers And Symmetry written by Bernard L. Johnston and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-24 with Education categories.
This textbook presents modern algebra from the ground up using numbers and symmetry. The idea of a ring and of a field are introduced in the context of concrete number systems. Groups arise from considering transformations of simple geometric objects. The analysis of symmetry provides the student with a visual introduction to the central algebraic notion of isomorphism. Designed for a typical one-semester undergraduate course in modern algebra, it provides a gentle introduction to the subject by allowing students to see the ideas at work in accessible examples, rather than plunging them immediately into a sea of formalism. The student is involved at once with interesting algebraic structures, such as the Gaussian integers and the various rings of integers modulo n, and is encouraged to take the time to explore and become familiar with those structures. In terms of classical algebraic structures, the text divides roughly into three parts:
Fractional Order Modeling Of Dynamic Systems With Applications In Optimization Signal Processing And Control
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Author : Ahmed G. Radwan
language : en
Publisher: Academic Press
Release Date : 2021-10-22
Fractional Order Modeling Of Dynamic Systems With Applications In Optimization Signal Processing And Control written by Ahmed G. Radwan and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-22 with Technology & Engineering categories.
Fractional-order Modelling of Dynamic Systems with Applications in Optimization, Signal Processing and Control introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems. - Presents a simple and comprehensive understanding of the field of fractional-order systems - Offers practical knowledge on the design of fractional-order systems for different applications - Exposes users to possible new applications for fractional-order systems
Multidimensional Signal And Color Image Processing Using Lattices
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Author : Eric Dubois
language : en
Publisher: John Wiley & Sons
Release Date : 2019-03-19
Multidimensional Signal And Color Image Processing Using Lattices written by Eric Dubois and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Technology & Engineering categories.
An Innovative Approach to Multidimensional Signals and Systems Theory for Image and Video Processing In this volume, Eric Dubois further develops the theory of multi-D signal processing wherein input and output are vector-value signals. With this framework, he introduces the reader to crucial concepts in signal processing such as continuous- and discrete-domain signals and systems, discrete-domain periodic signals, sampling and reconstruction, light and color, random field models, image representation and more. While most treatments use normalized representations for non-rectangular sampling, this approach obscures much of the geometrical and scale information of the signal. In contrast, Dr. Dubois uses actual units of space-time and frequency. Basis-independent representations appear as much as possible, and the basis is introduced where needed to perform calculations or implementations. Thus, lattice theory is developed from the beginning and rectangular sampling is treated as a special case. This is especially significant in the treatment of color and color image processing and for discrete transform representations based on symmetry groups, including fast computational algorithms. Other features include: An entire chapter on lattices, giving the reader a thorough grounding in the use of lattices in signal processing Extensive treatment of lattices as used to describe discrete-domain signals and signal periodicities Chapters on sampling and reconstruction, random field models, symmetry invariant signals and systems and multidimensional Fourier transformation properties Supplemented throughout with MATLAB examples and accompanying downloadable source code Graduate and doctoral students as well as senior undergraduates and professionals working in signal processing or video/image processing and imaging will appreciate this fresh approach to multidimensional signals and systems theory, both as a thorough introduction to the subject and as inspiration for future research.
Exploiting Hidden Structure In Matrix Computations Algorithms And Applications
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Author : Michele Benzi
language : en
Publisher: Springer
Release Date : 2017-01-24
Exploiting Hidden Structure In Matrix Computations Algorithms And Applications written by Michele Benzi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-24 with Mathematics categories.
Focusing on special matrices and matrices which are in some sense `near’ to structured matrices, this volume covers a broad range of topics of current interest in numerical linear algebra. Exploitation of these less obvious structural properties can be of great importance in the design of efficient numerical methods, for example algorithms for matrices with low-rank block structure, matrices with decay, and structured tensor computations. Applications range from quantum chemistry to queuing theory. Structured matrices arise frequently in applications. Examples include banded and sparse matrices, Toeplitz-type matrices, and matrices with semi-separable or quasi-separable structure, as well as Hamiltonian and symplectic matrices. The associated literature is enormous, and many efficient algorithms have been developed for solving problems involving such matrices. The text arose from a C.I.M.E. course held in Cetraro (Italy) in June 2015 which aimed to present this fast growing field to young researchers, exploiting the expertise of five leading lecturers with different theoretical and application perspectives.
Group Theory
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Author : Parthiban Srinivasan
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Group Theory written by Parthiban Srinivasan and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Group Theory: Foundations and Applications" is a comprehensive guide designed to demystify the fascinating subject of Group Theory. We explore this foundational branch of mathematics that examines symmetry and structure through the study of mathematical groups. In this book, we take readers on a journey through the fundamental concepts and applications of Group Theory, starting with the basics and gradually building up to more advanced topics. We begin by introducing essential definitions and properties of groups, exploring their algebraic structures and fundamental theorems. From there, we delve into group homomorphisms, isomorphisms, and subgroups, providing clear explanations and illustrative examples to aid understanding. As we progress, we explore various types of groups, including permutation groups, cyclic groups, and symmetry groups, showcasing their applications in areas such as chemistry, physics, cryptography, and computer science. Throughout the book, we emphasize Group Theory's importance in elucidating patterns, symmetries, and relationships in mathematical structures and real-world phenomena. With a balance of theory, examples, and exercises, "Group Theory: Foundations and Applications" engages and empowers undergraduate students. Whether you are a mathematics major, a student in a related field, or simply curious about the beauty of mathematical structures, this book will be your comprehensive guide to understanding Group Theory and its myriad applications.
Basics Of Representation Theory
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Author : Udayan Bhattacharya
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Basics Of Representation Theory written by Udayan Bhattacharya and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
Delve into the captivating world of "Basics of Representation Theory," a comprehensive guide designed for students, researchers, and enthusiasts eager to explore the intricate symmetries and structures that underpin modern mathematics. Our book offers a detailed introduction to foundational concepts, providing a solid understanding of group actions, linear representations, and character theory. From there, it explores the algebraic structures of irreducible representations, breaking down the decomposition into irreducible components and examining the properties of characters. Readers will journey through diverse topics, including the representation theory of symmetric groups, Lie groups, and algebraic groups, as well as advanced topics such as the representation theory of finite groups, the Langlands program, and applications in quantum mechanics and number theory. With a wealth of examples, illustrations, and exercises, "Basics of Representation Theory" ensures a hands-on approach to learning, encouraging practical exploration and problem-solving. The book also includes numerous references and further reading suggestions for those who wish to delve deeper into specific topics. Written in a clear and accessible style, this book caters to all levels, from undergraduate students encountering representation theory for the first time to experienced researchers seeking fresh insights. With its comprehensive coverage and diverse applications, "Basics of Representation Theory" is an invaluable resource for anyone interested in the beauty and depth of this field.
International Tables For Crystallography Volume B
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Author : U. Shmueli
language : en
Publisher: John Wiley & Sons
Release Date : 2008-08-25
International Tables For Crystallography Volume B written by U. Shmueli and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-25 with Science categories.
International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science. Volume B presents accounts of the numerous aspects of reciprocal space in crystallographic research. This volume is a vital addition to the library of scientists engaged in crystal structure determination, crystallographic computing, crystal physics and other fields of crystallographic research. Graduate students specializing in crystallography will find much material suitable for self-study and a rich source of references to the relevant literature. New to this edition: A new chapter on modern extensions of the Ewald method for Coulomb interactions in crystals. Three new sections on electron diffraction and electron microscopy in structure determination, describing point-group and space-group determination by convergent-beam electron diffraction, three-dimensional reconstruction, and single-particle reconstruction. Substantial revisions to the chapters on space-group representations in reciprocal space, direct methods, Patterson and molecular replacement techniques, and disorder diffuse scattering More information on the series can be found at: http://it.iucr.org
Recent Advances In Mathematics And Technology
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Author : Serge Dos Santos
language : en
Publisher: Springer Nature
Release Date : 2020-02-21
Recent Advances In Mathematics And Technology written by Serge Dos Santos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-21 with Mathematics categories.
The chapters in this volume are based on talks given at the inaugural Technology, Engineering and Mathematics Conference (TEM18), held from March 26 to 27, 2018 in Kenitra, Morocco. Advances in mathematical modeling, optimization, numerical analysis, signal processing, and computer science are presented by leading experts in these fields. There is a particular emphasis on stochastic analysis, machine learning algorithms, and deep learning models, which are highly relevant to the state-of-the-art in augmented, virtual, and mixed realities. Topics include: Harmonic analysis Big data analytics and applications Biomathematics Computer engineering and applications Economics and financial engineering Medical imaging and non-destructive testing This volume is ideal for engineers and researchers working in technological fields that need to be modeled and simulated using the tools of modern mathematics.