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The Linear Canonical Transform And Its Broadened Scope
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Book Synopsis The Linear Canonical Transform and Its Broadened Scope by : Aamir Hamid Dar
Download or read book The Linear Canonical Transform and Its Broadened Scope written by Aamir Hamid Dar and published by Mohammed Abdul Sattar. This book was released on 2024-03-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Linear Canonical Transform (LCT) is a mathematical operation that generalizes the Fourier transform, fractional Fourier transform, and other similar transforms. It describes the transformation of signals or functions in time and frequency domains in a linear, continuous, and reversible manner. The LCT can be expressed using a 4x4 matrix, which allows for efficient computation and manipulation. The broadened scope of the LCT encompasses various applications in signal processing, optics, image processing, and quantum mechanics. Its versatility lies in its ability to handle a wide range of signal types, including non-stationary, chirp-like, and spatially varying signals. Additionally, the LCT provides a unified framework for analyzing and processing signals with different degrees of chirpiness or time-frequency characteristics. Applications of the LCT include signal modulation, filtering, feature extraction, pattern recognition, and image reconstruction. It has found particular utility in optical systems for beam shaping, propagation, and manipulation. Furthermore, the LCT has been applied in quantum mechanics to study wave-particle duality and quantum information processing.
Book Synopsis Linear Canonical Transforms by : John J. Healy
Download or read book Linear Canonical Transforms written by John J. Healy and published by Springer. This book was released on 2015-11-26 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear and accessible introduction to the essential mathematical foundations of linear canonical transforms from a signals and systems perspective. Substantial attention is devoted to how these transforms relate to optical systems and wave propagation. There is extensive coverage of sampling theory and fast algorithms for numerically approximating the family of transforms. Chapters on topics ranging from digital holography to speckle metrology provide a window on the wide range of applications. This volume will serve as a reference for researchers in the fields of image and signal processing, wave propagation, optical information processing and holography, optical system design and modeling, and quantum optics. It will be of use to graduate students in physics and engineering, as well as for scientists in other areas seeking to learn more about this important yet relatively unfamiliar class of integral transformations.
Book Synopsis Automated Technology for Verification and Analysis by : Franck Cassez
Download or read book Automated Technology for Verification and Analysis written by Franck Cassez and published by Springer. This book was released on 2014-10-24 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 12th International Symposium on Automated Technology for Verification and Analysis, ATVA 2014, held in Sydney, Australia, in November 2014. The 29 revised papers presented in this volume were carefully reviewed and selected from 76 submissions. They show current research on theoretical and practical aspects of automated analysis, verification and synthesis by providing an international forum for interaction among the researchers in academia and industry.
Book Synopsis Random Processes by : Anthony Ephremides
Download or read book Random Processes written by Anthony Ephremides and published by . This book was released on 1973 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Investigation of Nonlinear Control Systems: Continuously acting control systems by : Nicolai Minorsky
Download or read book Investigation of Nonlinear Control Systems: Continuously acting control systems written by Nicolai Minorsky and published by . This book was released on 1960 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chemical Engineering Education written by and published by . This book was released on 1975 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SVD and Signal Processing, III by : M. Moonen
Download or read book SVD and Signal Processing, III written by M. Moonen and published by Elsevier. This book was released on 1995-03-16 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix Singular Value Decomposition (SVD) and its application to problems in signal processing is explored in this book. The papers discuss algorithms and implementation architectures for computing the SVD, as well as a variety of applications such as systems and signal modeling and detection. The publication presents a number of keynote papers, highlighting recent developments in the field, namely large scale SVD applications, isospectral matrix flows, Riemannian SVD and consistent signal reconstruction. It also features a translation of a historical paper by Eugenio Beltrami, containing one of the earliest published discussions of the SVD. With contributions sourced from internationally recognised scientists, the book will be of specific interest to all researchers and students involved in the SVD and signal processing field.
Book Synopsis Phase Space Picture of Quantum Mechanics by : Y S Kim
Download or read book Phase Space Picture of Quantum Mechanics written by Y S Kim and published by World Scientific. This book was released on 1991-03-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrödinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects. Contents:Phase Space in Classical MechanicsForms of Quantum MechanicsWigner Phase- Space Distribution FunctionsLinear Canonical Transformations in Quantum MechanicsCoherent and Squeezed StatesPhase-Space Picture of Coherent and Squeezed StatesLorentz TransformationsCovariant Harmonic OscillatorsLorentz-Squeezed HadronsSpace-Time Geometry of Extended Particles Readership: Physicists, applied physicists and mathematical physicists. keywords:Lorentz Transformations;Wigner's Little Groups;Quantum Optics;Relativistic Quantum Mechanics;Phase Space;Wigner Function;Squeezed States;Feynman's Parton Picture;Covariant Harmonic Oscillators;Space-Time Geometry;Hadrons;Group Theory “… if Casimir invariants and Lorentz groups excite you, you'll be at home in Kim and Noz's lecture notes…” Contemporary Physics
Book Synopsis Universal Concept of Complexity by the Dynamic Redundance Paradigm by : Andrei P. Kirilyuk
Download or read book Universal Concept of Complexity by the Dynamic Redundance Paradigm written by Andrei P. Kirilyuk and published by . This book was released on 1997 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Data-Driven Fault Detection for Industrial Processes by : Zhiwen Chen
Download or read book Data-Driven Fault Detection for Industrial Processes written by Zhiwen Chen and published by Springer. This book was released on 2017-01-02 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zhiwen Chen aims to develop advanced fault detection (FD) methods for the monitoring of industrial processes. With the ever increasing demands on reliability and safety in industrial processes, fault detection has become an important issue. Although the model-based fault detection theory has been well studied in the past decades, its applications are limited to large-scale industrial processes because it is difficult to build accurate models. Furthermore, motivated by the limitations of existing data-driven FD methods, novel canonical correlation analysis (CCA) and projection-based methods are proposed from the perspectives of process input and output data, less engineering effort and wide application scope. For performance evaluation of FD methods, a new index is also developed.
Book Synopsis Linear State-Space Control Systems by : Robert L. Williams, II
Download or read book Linear State-Space Control Systems written by Robert L. Williams, II and published by John Wiley & Sons. This book was released on 2007-02-09 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book blends readability and accessibility common to undergraduate control systems texts with the mathematical rigor necessary to form a solid theoretical foundation. Appendices cover linear algebra and provide a Matlab overivew and files. The reviewers pointed out that this is an ambitious project but one that will pay off because of the lack of good up-to-date textbooks in the area.
Book Synopsis Applied and Industrial Mathematics by : Renato Spigler
Download or read book Applied and Industrial Mathematics written by Renato Spigler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Venice-1 symposium on applied and industrial mathematics, 1989
Book Synopsis Canonical Equational Proofs by : Bachmair
Download or read book Canonical Equational Proofs written by Bachmair and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Equations occur in many computer applications, such as symbolic compu tation, functional programming, abstract data type specifications, program verification, program synthesis, and automated theorem proving. Rewrite systems are directed equations used to compute by replacing subterms in a given formula by equal terms until a simplest form possible, called a normal form, is obtained. The theory of rewriting is concerned with the compu tation of normal forms. We shall study the use of rewrite techniques for reasoning about equations. Reasoning about equations may, for instance, involve deciding whether an equation is a logical consequence of a given set of equational axioms. Convergent rewrite systems are those for which the rewriting process de fines unique normal forms. They can be thought of as non-deterministic functional programs and provide reasonably efficient decision procedures for the underlying equational theories. The Knuth-Bendix completion method provides a means of testing for convergence and can often be used to con struct convergent rewrite systems from non-convergent ones. We develop a proof-theoretic framework for studying completion and related rewrite based proof procedures. We shall view theorem provers as proof transformation procedures, so as to express their essential properties as proof normalization theorems.
Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1967-11 with total page 874 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nature: A Weekly Illustrated Journal of Science by :
Download or read book Nature: A Weekly Illustrated Journal of Science written by and published by . This book was released on 1911 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nature written by Sir Norman Lockyer and published by . This book was released on 1911 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Review by : Society for Industrial and Applied Mathematics
Download or read book SIAM Review written by Society for Industrial and Applied Mathematics and published by . This book was released on 1959 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Articles include expository or survey papers focusing on important advances in applied or computational mathematics, or papers outlining the mathematical and computational challenges in scientific or engineering applications. Other features include essays, book reviews, classroom and industrial notes, and problems and solutions.
