An Operator Perspective On Signals And Systems
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An Operator Perspective On Signals And Systems
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Author : Arthur Frazho
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-29
An Operator Perspective On Signals And Systems written by Arthur Frazho 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 2009-12-29 with Mathematics categories.
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.
Advanced Topics In System And Signal Theory
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Author : Volker Pohl
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-10-03
Advanced Topics In System And Signal Theory written by Volker Pohl 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 2009-10-03 with Technology & Engineering categories.
The requirement of causality in system theory is inevitably accompanied by the appearance of certain mathematical operations, namely the Riesz proj- tion,theHilberttransform,andthespectralfactorizationmapping.Aclassical exampleillustratingthisisthedeterminationoftheso-calledWiener?lter(the linear, minimum means square error estimation ?lter for stationary stochastic sequences [88]). If the ?lter is not required to be causal, the transfer function of the Wiener ?lter is simply given by H(?)=? (?)/? (?),where ? (?) xy xx xx and ? (?) are certain given functions. However, if one requires that the - xy timation ?lter is causal, the transfer function of the optimal ?lter is given by 1 ? (?) xy H(?)= P ,?? (??,?] . + [? ] (?) [? ] (?) xx + xx? Here [? ] and [? ] represent the so called spectral factors of ? ,and xx + xx? xx P is the so called Riesz projection. Thus, compared to the non-causal ?lter, + two additional operations are necessary for the determination of the causal ?lter, namely the spectral factorization mapping ? ? ([? ] ,[? ] ),and xx xx + xx? the Riesz projection P .
Structure And Interpretation Of Signals And Systems
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Author : Edward A. Lee
language : en
Publisher: Lee & Seshia
Release Date : 2011
Structure And Interpretation Of Signals And Systems written by Edward A. Lee and has been published by Lee & Seshia this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Signal processing categories.
Operator Theory Functional Analysis And Applications
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Author : M. Amélia Bastos
language : en
Publisher: Springer Nature
Release Date : 2021-03-31
Operator Theory Functional Analysis And Applications written by M. Amélia Bastos and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-31 with Mathematics categories.
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.
Perspectives In Mathematical System Theory Control And Signal Processing
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Author : Jan C. Willems
language : en
Publisher: Springer
Release Date : 2010-03-10
Perspectives In Mathematical System Theory Control And Signal Processing written by Jan C. Willems and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-10 with Science categories.
This Festschrift, published on the occasion of the sixtieth birthday of Yutaka - mamoto (‘YY’ as he is occasionally casually referred to), contains a collection of articles by friends, colleagues, and former Ph.D. students of YY. They are a tribute to his friendship and his scienti?c vision and oeuvre, which has been a source of inspiration to the authors. Yutaka Yamamoto was born in Kyoto, Japan, on March 29, 1950. He studied applied mathematics and general engineering science at the Department of Applied Mathematics and Physics of Kyoto University, obtaining the B.S. and M.Sc. degrees in 1972 and 1974. His M.Sc. work was done under the supervision of Professor Yoshikazu Sawaragi. In 1974, he went to the Center for Mathematical System T- ory of the University of Florida in Gainesville. He obtained the M.Sc. and Ph.D. degrees, both in Mathematics, in 1976 and 1978, under the direction of Professor Rudolf Kalman.
Linear Operators And Linear Systems
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Author : Jonathan R. Partington
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-15
Linear Operators And Linear Systems written by Jonathan R. Partington and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-15 with Mathematics categories.
Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be entirely suitable for a course in functional analysis; at the same time, the book includes applications to partial differential equations, to the stability and stabilization of linear systems, to power signal spaces (including some recent material not previously available in books), and to delay systems, treated from an input/output point of view. Suitable for students of analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering.
Proceedings Of The International E Conference On Intelligent Systems And Signal Processing
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Author : Falgun Thakkar
language : en
Publisher: Springer Nature
Release Date : 2021-08-13
Proceedings Of The International E Conference On Intelligent Systems And Signal Processing written by Falgun Thakkar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-13 with Technology & Engineering categories.
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 Theory Analysis And The State Space Approach
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Author : Harm Bart
language : en
Publisher: Springer
Release Date : 2018-12-30
Operator Theory Analysis And The State Space Approach written by Harm Bart and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-30 with Mathematics categories.
This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski.
The Mathematics Of Signal Processing
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Author : Steven B. Damelin
language : en
Publisher: Cambridge University Press
Release Date : 2012
The Mathematics Of Signal Processing written by Steven B. Damelin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Develops mathematical and probabilistic tools needed to give rigorous derivations and applications of fundamental results in signal processing theory.
Systems Approach For Development
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Author : M. A. R. Ghonaimy
language : en
Publisher: Elsevier
Release Date : 2014-05-18
Systems Approach For Development written by M. A. R. Ghonaimy and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-18 with Social Science categories.
Systems Approach for Development presents articles in such topics as methodology, management and planning, education and transfer of technology, industrial application, energy, power systems, transportation and communication systems, urban systems and housing, and water resource systems. A sample of article in methodology is a simplified model approach in the hierarchical control systems. The book discusses such topics as dynamic economic models, creation of an optimum technology for olive oil production, systems prospective, types of technological forecasting techniques, and the use of a learning automata model in resource allocation problems. The optimal rate of transfer of technology is briefly analyzed and a systems approach to technological education is covered. An essay in the development of operator interface techniques is given. A section of the text provides the requirements of an ideal teaching system for microcomputers. The book will provide useful information to engineers, sociologists, economists, computer programmers, students and researchers in the field of science.