An Operator Perspective On Signals And Systems

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An Operator Perspective on Signals and Systems

Arthur Frazho,Wisuwat Bhosri
An Operator Perspective on Signals and Systems Book PDF

Author : Arthur Frazho,Wisuwat Bhosri
Publisher : Springer Science & Business Media
Page : 430 pages
File Size : 43,7 Mb
Release : 2009-12-29
Category : Mathematics
ISBN : 9783034602921

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An Operator Perspective on Signals and Systems by Arthur Frazho,Wisuwat Bhosri Pdf

In this monograph, we combine operator techniques with state space methods to solve factorization, spectral estimation, and interpolation problems arising in control and signal processing. We present both the theory and algorithms with some Matlab code to solve these problems. A classical approach to spectral factorization problems in control theory is based on Riccati equations arising in linear quadratic control theory and Kalman ?ltering. One advantage of this approach is that it readily leads to algorithms in the non-degenerate case. On the other hand, this approach does not easily generalize to the nonrational case, and it is not always transparent where the Riccati equations are coming from. Operator theory has developed some elegant methods to prove the existence of a solution to some of these factorization and spectral estimation problems in a very general setting. However, these techniques are in general not used to develop computational algorithms. In this monograph, we will use operator theory with state space methods to derive computational methods to solve factorization, sp- tral estimation, and interpolation problems. It is emphasized that our approach is geometric and the algorithms are obtained as a special application of the theory. We will present two methods for spectral factorization. One method derives al- rithms based on ?nite sections of a certain Toeplitz matrix. The other approach uses operator theory to develop the Riccati factorization method. Finally, we use isometric extension techniques to solve some interpolation problems.

Operator Theory, Functional Analysis and Applications

M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich
Operator Theory Functional Analysis and Applications Book PDF

Author : M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich
Publisher : Springer Nature
Page : 654 pages
File Size : 50,8 Mb
Release : 2021-03-31
Category : Mathematics
ISBN : 9783030519452

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Operator Theory, Functional Analysis and Applications by M. Amélia Bastos,Luís Castro,Alexei Yu. Karlovich Pdf

This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.

Operator Theory in Different Settings and Related Applications

Roland Duduchava,Marinus A. Kaashoek,Nikolai Vasilevski,Victor Vinnikov
Operator Theory in Different Settings and Related Applications Book PDF

Author : Roland Duduchava,Marinus A. Kaashoek,Nikolai Vasilevski,Victor Vinnikov
Publisher : Birkhäuser
Page : 309 pages
File Size : 52,7 Mb
Release : 2018-03-28
Category : Mathematics
ISBN : 9783319625270

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Operator Theory in Different Settings and Related Applications by Roland Duduchava,Marinus A. Kaashoek,Nikolai Vasilevski,Victor Vinnikov Pdf

This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields. The latter include singular integral equations, ordinary and partial differential equations, complex analysis, numerical linear algebra, and real algebraic geometry – all of which were among the topics presented at the 26th International Workshop in Operator Theory and its Applications, held in Tbilisi, Georgia, in the summer of 2015. Moreover, the volume includes three special commemorative articles. One of them is dedicated to the memory of Leiba Rodman, another to Murray Marshall, and a third to Boris Khvedelidze, an outstanding Georgian mathematician and one of the founding fathers of the theory of singular integral equations. The book will be of interest to a broad range of mathematicians, from graduate students to researchers, whose primary interests lie in operator theory, complex analysis and applications, as well as specialists in mathematical physics.

Function Spaces, Theory and Applications

Ilia Binder,Damir Kinzebulatov,Javad Mashreghi
Function Spaces Theory and Applications Book PDF

Author : Ilia Binder,Damir Kinzebulatov,Javad Mashreghi
Publisher : Springer Nature
Page : 487 pages
File Size : 48,8 Mb
Release : 2024-01-12
Category : Mathematics
ISBN : 9783031392702

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Function Spaces, Theory and Applications by Ilia Binder,Damir Kinzebulatov,Javad Mashreghi Pdf

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They also have several essential applications in other fields of mathematics and engineering, e.g., robust control engineering, signal and image processing, and theory of communication. The most important Hilbert space of analytic functions is the Hardy class H2. However, its close cousins, e.g. the Bergman space A2, the Dirichlet space D, the model subspaces Kt, and the de Branges-Rovnyak spaces H(b), have also been the center of attention in the past two decades. Studying the Hilbert spaces of analytic functions and the operators acting on them, as well as their applications in other parts of mathematics or engineering were the main subjects of this program. During the program, the world leading experts on function spaces gathered and discussed the new achievements and future venues of research on analytic function spaces, their operators, and their applications in other domains. With more than 250 hours of lectures by prominent mathematicians, a wide variety of topics were covered. More explicitly, there were mini-courses and workshops on Hardy Spaces, Dirichlet Spaces, Bergman Spaces, Model Spaces, Interpolation and Sampling, Riesz Bases, Frames and Signal Processing, Bounded Mean Oscillation, de Branges-Rovnyak Spaces, Operators on Function Spaces, Truncated Toeplitz Operators, Blaschke Products and Inner Functions, Discrete and Continuous Semigroups of Composition Operators, The Corona Problem, Non-commutative Function Theory, Drury-Arveson Space, and Convergence of Scattering Data and Non-linear Fourier Transform. At the end of each week, there was a high profile colloquium talk on the current topic. The program also contained two semester-long advanced courses on Schramm Loewner Evolution and Lattice Models and Reproducing Kernel Hilbert Space of Analytic Functions. The current volume features a more detailed version of some of the talks presented during the program.

Signals and Systems: An Engineering Perspective

Andrew Burton
Signals and Systems An Engineering Perspective Book PDF

Author : Andrew Burton
Publisher : Unknown
Page : 233 pages
File Size : 45,6 Mb
Release : 2020-09-08
Category : Technology & Engineering
ISBN : 164172398X

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Signals and Systems: An Engineering Perspective by Andrew Burton Pdf

A signal is a function that gives information about a phenomenon. The field of electrical engineering that studies output and input signals, and mathematical representations between systems is known as signals and systems. The four main domains of signals and systems are frequency, time, s and z. It is a subset of mathematical modeling. Signal processing involves analyzing, synthesizing and modifying signals. Its techniques are used to improve efficiency and subjective quality, and transmission. It receives signals as well as produces them. System is a physical set of components. It has one or more input and output signals. In signals and systems, signals are classified according to many criteria. Different types of signals include analog, digital, deterministic, random, energy, power, etc. The book aims to shed light on some of the unexplored aspects of signals and systems. Such selected concepts that redefine the subject have been presented in it. For all those who are interested in signals and systems, this book can prove to be an essential guide.

Continuous-Time Signals and Systems (Version 2013-09-11)

Michael D. Adams
Continuous Time Signals and Systems Version 2013 09 11 Book PDF

Author : Michael D. Adams
Publisher : Michael Adams
Page : 342 pages
File Size : 49,8 Mb
Release : 2013-09-11
Category : Electronic
ISBN : 9781550585063

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Continuous-Time Signals and Systems (Version 2013-09-11) by Michael D. Adams Pdf

This book is intended for use in teaching undergraduate courses on continuous-time signals and systems in engineering (and related) disciplines. It has been used for several years for teaching purposes in the Department of Electrical and Computer Engineering at the University of Victoria and has been very well received by students. This book provides a detailed introduction to continuous-time signals and systems, with a focus on both theory and applications. The mathematics underlying signals and systems is presented, including topics such as: properties of signals, properties of systems, convolution, Fourier series, the Fourier transform, frequency spectra, and the bilateral and unilateral Laplace transforms. Applications of the theory are also explored, including: filtering, equalization, amplitude modulation, sampling, feedback control systems, circuit analysis, and Laplace-domain techniques for solving differential equations. Other supplemental material is also included, such as: a detailed introduction to MATLAB, a review of complex analysis, and an exploration of time-domain techniques for solving differential equations. Throughout the book, many worked-through examples are provided. Problem sets are also provided for each major topic covered.

Proceedings of the International e-Conference on Intelligent Systems and Signal Processing

Falgun Thakkar,Geetali Saha,Celia Shahnaz,Yu-Chen Hu
Proceedings of the International e Conference on Intelligent Systems and Signal Processing Book PDF

Author : Falgun Thakkar,Geetali Saha,Celia Shahnaz,Yu-Chen Hu
Publisher : Springer Nature
Page : 799 pages
File Size : 52,7 Mb
Release : 2021-08-13
Category : Technology & Engineering
ISBN : 9789811621239

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Proceedings of the International e-Conference on Intelligent Systems and Signal Processing by Falgun Thakkar,Geetali Saha,Celia Shahnaz,Yu-Chen Hu Pdf

This book provides insights into the Third International Conference on Intelligent Systems and Signal Processing (eISSP 2020) held By Electronics & Communication Engineering Department of G H Patel College of Engineering & Technology, Gujarat, India, during 28–30 December 2020. The book comprises contributions by the research scholars and academicians covering the topics in signal processing and communication engineering, applied electronics and emerging technologies, Internet of Things (IoT), robotics, machine learning, deep learning and artificial intelligence. The main emphasis of the book is on dissemination of information, experience and research results on the current topics of interest through in-depth discussions and contribution of researchers from all over world. The book is useful for research community, academicians, industrialists and postgraduate students across the globe.

Operator Algebras, Toeplitz Operators and Related Topics

Wolfram Bauer,Roland Duduchava,Sergei Grudsky,Marinus A. Kaashoek
Operator Algebras Toeplitz Operators and Related Topics Book PDF

Author : Wolfram Bauer,Roland Duduchava,Sergei Grudsky,Marinus A. Kaashoek
Publisher : Springer Nature
Page : 467 pages
File Size : 43,8 Mb
Release : 2020-09-01
Category : Mathematics
ISBN : 9783030446512

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Operator Algebras, Toeplitz Operators and Related Topics by Wolfram Bauer,Roland Duduchava,Sergei Grudsky,Marinus A. Kaashoek Pdf

This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Señales y sistemas

Alan V. Oppenheim,Alan S. Willsky,S. Hamid Nawab
Se ales y sistemas Book PDF

Author : Alan V. Oppenheim,Alan S. Willsky,S. Hamid Nawab
Publisher : Pearson Educación
Page : 994 pages
File Size : 47,5 Mb
Release : 1998
Category : Mathematics
ISBN : 970170116X

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Señales y sistemas by Alan V. Oppenheim,Alan S. Willsky,S. Hamid Nawab Pdf

1. Señales y sistemas 2. Sistemas lineales invariantes en el tiempo 3. Representación de señales periódicas en series de Fourier 4. La transformada contínua de Fourier 5. La transformada de Fourier de tiempo discreto 6. Caracterización en tiempo y frecuencia de señales y sistemas 7. Muestreo 8. Sistemas de comunicación 9. La transformada de Laplace 10. La transformada z 11. Sistemas lineales retroalimentados.

Linear Systems and Control

Martin J. Corless,Art Frazho
Linear Systems and Control Book PDF

Author : Martin J. Corless,Art Frazho
Publisher : CRC Press
Page : 368 pages
File Size : 45,8 Mb
Release : 2003-03-27
Category : Mathematics
ISBN : 0203911377

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Linear Systems and Control by Martin J. Corless,Art Frazho Pdf

Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.

Signals and Systems (Edition 3.0)

Michael D. Adams
Signals and Systems Edition 3 0 Book PDF

Author : Michael D. Adams
Publisher : Michael Adams
Page : 728 pages
File Size : 43,8 Mb
Release : 2020-12-15
Category : Technology & Engineering
ISBN : 9781550586749

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Signals and Systems (Edition 3.0) by Michael D. Adams Pdf

This book is intended for use in teaching undergraduate courses on continuous-time and/or discrete-time signals and systems in engineering (and related) disciplines. It provides a detailed introduction to continuous-time and discrete-time signals and systems, with a focus on both theory and applications. The mathematics underlying signals and systems is presented, including topics such as: signal properties, elementary signals, system properties, continuous-time and discrete-time linear time-invariant systems, convolution, continuous-time and discrete-time Fourier series, the continuous-time and discrete-time Fourier transforms, frequency spectra, and the bilateral and unilateral Laplace and z transforms. Applications of the theory are also explored, including: filtering, equalization, amplitude modulation, sampling, feedback control systems, circuit analysis, Laplace-domain techniques for solving differential equations, and z-domain techniques for solving difference equations. Other supplemental material is also included, such as: a detailed introduction to MATLAB, a review of complex analysis, an introduction to partial fraction expansions, an exploration of time-domain techniques for solving differential equations, and information on online video-lecture content for material covered in the book. Throughout the book, many worked-through examples are provided. Problem sets are also provided for each major topic covered.

Controlling Risk in a Dangerous World

Jim Wetherbee
Controlling Risk in a Dangerous World Book PDF

Author : Jim Wetherbee
Publisher : Morgan James Publishing
Page : 363 pages
File Size : 44,9 Mb
Release : 2016-07-12
Category : Business & Economics
ISBN : 9781630479527

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Controlling Risk in a Dangerous World by Jim Wetherbee Pdf

A five-time Space Shuttle commander reveals what astronauts know about improving performance and productivity under pressure. Jim Wetherbee, the only five-time Space Shuttle commander, presents thirty techniques that astronauts use—not only to stay alive in the unforgiving and deadly environment of space, but also to conduct high-quality operations and accomplish complex missions. These same techniques, based on the foundational principles of operating excellence, can help anyone be successful in high-hazard endeavors, ordinary business, and everyday life. Controlling Risk in a Dangerous World shows you how to embrace these techniques as a way of operating and living your life, so you can predict and prevent your next accident, while improving performance and productivity to take your company higher.

Essentials of Signals and Systems

Emiliano R. Martins
Essentials of Signals and Systems Book PDF

Author : Emiliano R. Martins
Publisher : John Wiley & Sons
Page : 341 pages
File Size : 53,6 Mb
Release : 2023-02-22
Category : Science
ISBN : 9781119909217

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Essentials of Signals and Systems by Emiliano R. Martins Pdf

Novel approach to the theory of signals and systems in an introductory, accessible textbook Signals and Systems have the reputation of being a difficult subject. Essentials of Signals and Systems is a standalone textbook aiming to change this reputation with a novel approach to this subject, teaching the essential concepts of signals and systems in a clear, friendly, intuitive, and accessible way. The overall vision of the book is that traditional approaches to signals and systems are unnecessarily convoluted, and that students’ learning experiences are much improved by making a clear connection between the theory of representation of signal and systems, and the theory of representation of vectors and matrices in linear algebra. The author begins by reviewing the theory of representation in linear algebra, emphasizing that vectors are represented by different coordinates when the basis is changed, and that the basis of eigenvectors is special because it diagonalizes the operator. Thus, in each step of the theory of representation of signals and systems, the author shows the analogous step in linear algebra. With such an approach, students can easily understand that signals are analogous to vectors, that systems are analogous to matrices, and that Fourier transforms are a change to the basis that diagonalizes LTI operators. The text emphasizes the key concepts in the analysis of linear and time invariant systems, demonstrating both the algebraic and physical meaning of Fourier transforms. The text carefully connects the most important transforms (Fourier series, Discrete Time Fourier Transform, Discrete Fourier Transforms, Laplace and z-transforms), emphasizing their relationships and motivations. The continuous and discrete time domains are neatly connected, and the students are shown step-by-step how to use the fft function, using simple examples. Incorporating learning objectives and problems, and supported with simple Matlab codes to illustrate concepts, the text presents to students the foundations to allow the reader to pursue more advanced topics in later courses. Developed from lecture notes already tested with more than 600 students over six years, Essentials of Signals and Systems covers sample topics such as: Basic concepts of linear algebra that are pertinent to signals and systems. Theory of representation of signals, with an emphasis on the notion of Fourier transforms as a change of basis, and on their physical meaning. Theory of representation of linear and time invariant systems, emphasizing the role of Fourier transforms as a change to the basis of eigenvectors, and the physical meaning of the impulse and frequency responses. What signals and systems have to do with phasors and impedances, and the basics of filter design. The Laplace transform as an extension of Fourier transforms. Discrete signals and systems, the sampling theorem, the Discrete Time Fourier Transform (DTFT), the Discrete Fourier Transform (DFT), and how to use the fast fourier transform (fft). The z-transform as an extension of the Discrete Time Fourier Transform. Essentials of Signals and Systems is an immensely helpful textbook on the subject for undergraduate students of electrical and computer engineering. The information contained within is also pertinent to those in physics and related fields involved in the understanding of signals and system processing, including those working on related practical applications.

Signals and Systems For Dummies

Mark Wickert
Signals and Systems For Dummies Book PDF

Author : Mark Wickert
Publisher : John Wiley & Sons
Page : 387 pages
File Size : 42,8 Mb
Release : 2013-05-17
Category : Technology & Engineering
ISBN : 9781118475669

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Signals and Systems For Dummies by Mark Wickert Pdf

Getting mixed signals in your signals and systems course? The concepts covered in a typical signals and systems course are often considered by engineering students to be some of the most difficult to master. Thankfully, Signals & Systems For Dummies is your intuitive guide to this tricky course, walking you step-by-step through some of the more complex theories and mathematical formulas in a way that is easy to understand. From Laplace Transforms to Fourier Analyses, Signals & Systems For Dummies explains in plain English the difficult concepts that can trip you up. Perfect as a study aid or to complement your classroom texts, this friendly, hands-on guide makes it easy to figure out the fundamentals of signal and system analysis. Serves as a useful tool for electrical and computer engineering students looking to grasp signal and system analysis Provides helpful explanations of complex concepts and techniques related to signals and systems Includes worked-through examples of real-world applications using Python, an open-source software tool, as well as a custom function module written for the book Brings you up-to-speed on the concepts and formulas you need to know Signals & Systems For Dummies is your ticket to scoring high in your introductory signals and systems course.

Signal Processing and Systems Theory

Charles K. Chui,Guanrong Chen
Signal Processing and Systems Theory Book PDF

Author : Charles K. Chui,Guanrong Chen
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642974069

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Signal Processing and Systems Theory by Charles K. Chui,Guanrong Chen Pdf

"Signal Processing and Systems Theory" is concerned with the study of H-optimization for digital signal processing and discrete-time control systems. The first three chapters present the basic theory and standard methods in digital filtering and systems from the frequency-domain approach, followed by a discussion of the general theory of approximation in Hardy spaces. AAK theory is introduced, first for finite-rank operators and then more generally, before being extended to the multi-input/multi-output setting. This mathematically rigorous book is self-contained and suitable for self-study. The advanced mathematical results derived here are applicable to digital control systems and digital filtering.