Applications Of Algebra To Communications Control And Signal Processing

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Applications of Algebra to Communications, Control, and Signal Processing

Author : Nigel Boston
Publisher : Springer Science & Business Media
ISBN 13 : 1461438632
Total Pages : 56 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Applications of Algebra to Communications, Control, and Signal Processing by : Nigel Boston

Download or read book Applications of Algebra to Communications, Control, and Signal Processing written by Nigel Boston and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last 50 years there have been an increasing number of applications of algebraic tools to solve problems in communications, in particular in the fields of error-control codes and cryptography. More recently, broader applications have emerged, requiring quite sophisticated algebra - for example, the Alamouti scheme in MIMO communications is just Hamilton's quaternions in disguise and has spawned the use of PhD-level algebra to produce generalizations. Likewise, in the absence of credible alternatives, the industry has in many cases been forced to adopt elliptic curve cryptography. In addition, algebra has been successfully applied to problems in signal processing such as face recognition, biometrics, control design, and signal design for radar. This book introduces the reader to the algebra they need to appreciate these developments and to various problems solved by these techniques.

Digital Signal Processing

Author : Salvatore Morgera
Publisher : Elsevier
ISBN 13 : 0323158935
Total Pages : 254 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Digital Signal Processing by : Salvatore Morgera

Download or read book Digital Signal Processing written by Salvatore Morgera and published by Elsevier. This book was released on 2012-12-02 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Signal Processing: Applications to Communications and Algebraic Coding Theories discusses the design of computationally efficient digital signal processing algorithms over finite fields and the relation of these algorithms to algebraic error-correcting codes. The book provides chapters that cover such topics as signal processing techniques employed for modeling, synthesis, and analysis; systems of bilinear forms; efficient finite field algorithms; the design and study of long length cyclic convolutions and some preliminary results on their relation to linear codes; the study of the algebraic structure of the class of linear codes obtained from bilinear cyclic and aperiodic convolution algorithms over the finite field of interest; and the concept of a generalized hybrid Automatic- Repeat-Request (ARQ) scheme for adaptive error control in digital communication systems. Engineers, mathematicians, and computer scientists will find the text invaluable.

Mathematical Foundations for Signal Processing, Communications, and Networking

Author : Erchin Serpedin
Publisher : CRC Press
ISBN 13 : 1439855145
Total Pages : 852 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Foundations for Signal Processing, Communications, and Networking by : Erchin Serpedin

Download or read book Mathematical Foundations for Signal Processing, Communications, and Networking written by Erchin Serpedin and published by CRC Press. This book was released on 2017-12-04 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.

Algebraic Methods for Signal Processing and Communications Coding

Author : Richard E. Blahut
Publisher : Springer
ISBN 13 : 9780387976730
Total Pages : 0 pages
Book Rating : 4.9/5 (767 download)

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Book Synopsis Algebraic Methods for Signal Processing and Communications Coding by : Richard E. Blahut

Download or read book Algebraic Methods for Signal Processing and Communications Coding written by Richard E. Blahut and published by Springer. This book was released on 1991-12-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms for computation are a central part of both digital signal pro cessing and decoders for error-control codes and the central algorithms of the two subjects share many similarities. Each subject makes extensive use of the discrete Fourier transform, of convolutions, and of algorithms for the inversion of Toeplitz systems of equations. Digital signal processing is now an established subject in its own right; it no longer needs to be viewed as a digitized version of analog signal process ing. Algebraic structures are becoming more important to its development. Many of the techniques of digital signal processing are valid in any algebraic field, although in most cases at least part of the problem will naturally lie either in the real field or the complex field because that is where the data originate. In other cases the choice of field for computations may be up to the algorithm designer, who usually chooses the real field or the complex field because of familiarity with it or because it is suitable for the particular application. Still, it is appropriate to catalog the many algebraic fields in a way that is accessible to students of digital signal processing, in hopes of stimulating new applications to engineering tasks.

Communications, Computation, Control, and Signal Processing

Author : Arogyaswami Paulraj
Publisher : Springer Science & Business Media
ISBN 13 : 1461562813
Total Pages : 572 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Communications, Computation, Control, and Signal Processing by : Arogyaswami Paulraj

Download or read book Communications, Computation, Control, and Signal Processing written by Arogyaswami Paulraj and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: A. Paulraj*, V. Roychowdhury**, and C. Schaper* * Dept. of Electrical Engineering, Stanford University ** Dept. of Electrical Engineering, UCLA Innumerable conferences are held around the world on the subjects of commu nications, computation, control and signal processing, and on their numerous subdisciplines. Therefore one might not envision a coherent conference encom passing all these areas. However, such an event did take place June 22-26, 1995, at an international symposium held at Stanford University to celebrate Professor Thomas Kailath's sixtieth birthday and to honor the notable con tributions made by him and his students and associates. The depth of these contributions was evident from the participation of so many leading figures in each of these fields. Over the five days of the meeting, there were about 200 at tendees, from eighteen countries, more than twenty government and industrial organizations, and various engineering, mathematics and statistics faculties at nearly 50 different academic institutions. They came not only to celebrate but also to learn and to ponder the threads and the connections that Professor Kailath has discovered and woven among so many apparently disparate areas. The organizers received many comments about the richness of the occasion. A distinguished academic wrote of the conference being "the single most rewarding professional event of my life. " The program is summarized in Table 1. 1; a letter of reflections by Dr. C. Rohrs appears a little later.

Numerical Linear Algebra in Signals, Systems and Control

Author : Paul Van Dooren
Publisher : Springer
ISBN 13 : 9789400706033
Total Pages : 480 pages
Book Rating : 4.7/5 (6 download)

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Book Synopsis Numerical Linear Algebra in Signals, Systems and Control by : Paul Van Dooren

Download or read book Numerical Linear Algebra in Signals, Systems and Control written by Paul Van Dooren and published by Springer. This book was released on 2011-06-02 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.

Signal Processing for Communications

Author : Paolo Prandoni
Publisher : Collection Savoir suisse
ISBN 13 : 2940222207
Total Pages : 392 pages
Book Rating : 4.9/5 (42 download)

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Book Synopsis Signal Processing for Communications by : Paolo Prandoni

Download or read book Signal Processing for Communications written by Paolo Prandoni and published by Collection Savoir suisse. This book was released on 2008-06-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a novel, less classical approach to the subject, the authors have written a book with the conviction that signal processing should be taught to be fun. The treatment is therefore less focused on the mathematics and more on the conceptual aspects, the idea being to allow the readers to think about the subject at a higher conceptual level, thus building the foundations for more advanced topics. The book remains an engineering text, with the goal of helping students solve real-world problems. In this vein, the last chapter pulls together the individual topics as discussed throughout the book into an in-depth look at the development of an end-to-end communication system, namely, a modem for communicating digital information over an analog channel.

Numerical Linear Algebra in Signals, Systems and Control

Author : Paul Van Dooren
Publisher : Springer Science & Business Media
ISBN 13 : 9400706022
Total Pages : 481 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Numerical Linear Algebra in Signals, Systems and Control by : Paul Van Dooren

Download or read book Numerical Linear Algebra in Signals, Systems and Control written by Paul Van Dooren and published by Springer Science & Business Media. This book was released on 2011-05-21 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of Numerical Linear Algebra in Signals, Systems and Control is to present an interdisciplinary book, blending linear and numerical linear algebra with three major areas of electrical engineering: Signal and Image Processing, and Control Systems and Circuit Theory. Numerical Linear Algebra in Signals, Systems and Control will contain articles, both the state-of-the-art surveys and technical papers, on theory, computations, and applications addressing significant new developments in these areas. The goal of the volume is to provide authoritative and accessible accounts of the fast-paced developments in computational mathematics, scientific computing, and computational engineering methods, applications, and algorithms. The state-of-the-art surveys will benefit, in particular, beginning researchers, graduate students, and those contemplating to start a new direction of research in these areas. A more general goal is to foster effective communications and exchange of information between various scientific and engineering communities with mutual interests in concepts, computations, and workable, reliable practices.

Algebra for Secure and Reliable Communication Modeling

Author : Mustapha Lahyane
Publisher :
ISBN 13 : 9781470425661
Total Pages : 240 pages
Book Rating : 4.4/5 (256 download)

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Book Synopsis Algebra for Secure and Reliable Communication Modeling by : Mustapha Lahyane

Download or read book Algebra for Secure and Reliable Communication Modeling written by Mustapha Lahyane and published by . This book was released on 2015 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied and Computational Control, Signals, and Circuits

Author : Biswa N. Datta
Publisher : Springer Science & Business Media
ISBN 13 : 1461205719
Total Pages : 557 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Applied and Computational Control, Signals, and Circuits by : Biswa N. Datta

Download or read book Applied and Computational Control, Signals, and Circuits written by Biswa N. Datta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this annual series, Applied and Computational Control, Signals, and Circuits, is to keep abreast of the fast-paced developments in computational mathematics and scientific computing and their increasing use by researchers and engineers in control, signals, and circuits. The series is dedicated to fostering effective communication between mathematicians, computer scientists, computational scientists, software engineers, theorists, and practicing engineers. This interdisciplinary scope is meant to blend areas of mathematics (such as linear algebra, operator theory, and certain branches of analysis) and computational mathematics (numerical linear algebra, numerical differential equations, large scale and parallel matrix computations, numerical optimization) with control and systems theory, signal and image processing, and circuit analysis and design. The disciplines mentioned above have long enjoyed a natural synergy. There are distinguished journals in the fields of control and systems the ory, as well as signal processing and circuit theory, which publish high quality papers on mathematical and engineering aspects of these areas; however, articles on their computational and applications aspects appear only sporadically. At the same time, there has been tremendous recent growth and development of computational mathematics, scientific comput ing, and mathematical software, and the resulting sophisticated techniques are being gradually adapted by engineers, software designers, and other scientists to the needs of those applied disciplines.

Group Theory, Combinatorics, and Computing

Author : Robert Fitzgerald Morse
Publisher : American Mathematical Soc.
ISBN 13 : 0821894358
Total Pages : 202 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Group Theory, Combinatorics, and Computing by : Robert Fitzgerald Morse

Download or read book Group Theory, Combinatorics, and Computing written by Robert Fitzgerald Morse and published by American Mathematical Soc.. This book was released on 2014-02-13 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the International Conference on Group Theory, Combinatorics and Computing held from October 3-8, 2012, in Boca Raton, Florida. The papers cover a number of areas in group theory and combinatorics. Topics include finite simple groups, groups acting on structured sets, varieties of algebras, classification of groups generated by 3-state automata over a 2-letter alphabet, new methods for construction of codes and designs, groups with constraints on the derived subgroups of its subgroups, graphs related to conjugacy classes in groups, and lexicographical configurations. Application of computer algebra programs is incorporated in several of the papers. This volume includes expository articles on finite coverings of loops, semigroups and groups, and on the application of algebraic structures in the theory of communications. This volume is a valuable resource for researchers and graduate students working in group theory and combinatorics. The articles provide excellent examples of the interplay between the two areas.

Signal Processing

Author : Charles L. Byrne
Publisher : CRC Press
ISBN 13 : 1482241846
Total Pages : 441 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Signal Processing by : Charles L. Byrne

Download or read book Signal Processing written by Charles L. Byrne and published by CRC Press. This book was released on 2014-11-12 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Signal Processing: A Mathematical Approach is designed to show how many of the mathematical tools the reader knows can be used to understand and employ signal processing techniques in an applied environment. Assuming an advanced undergraduate- or graduate-level understanding of mathematics—including familiarity with Fourier series, matrices, probability, and statistics—this Second Edition: Contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters Expands the material on Fourier analysis to three new chapters to provide additional background information Presents real-world examples of applications that demonstrate how mathematics is used in remote sensing Featuring problems for use in the classroom or practice, Signal Processing: A Mathematical Approach, Second Edition covers topics such as Fourier series and transforms in one and several variables; applications to acoustic and electro-magnetic propagation models, transmission and emission tomography, and image reconstruction; sampling and the limited data problem; matrix methods, singular value decomposition, and data compression; optimization techniques in signal and image reconstruction from projections; autocorrelations and power spectra; high-resolution methods; detection and optimal filtering; and eigenvector-based methods for array processing and statistical filtering, time-frequency analysis, and wavelets.

Complex-valued Matrix Derivatives

Author : Are Hjrungnes
Publisher :
ISBN 13 :
Total Pages : 247 pages
Book Rating : 4.:/5 (19 download)

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Book Synopsis Complex-valued Matrix Derivatives by : Are Hjrungnes

Download or read book Complex-valued Matrix Derivatives written by Are Hjrungnes and published by . This book was released on 2011 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this complete introduction to the theory of finding derivatives of scalar-, vector- and matrix-valued functions with respect to complex matrix variables, Hjrungnes describes an essential set of mathematical tools for solving research problems where unknown parameters are contained in complex-valued matrices. The first book examining complex-valued matrix derivatives from an engineering perspective, it uses numerous practical examples from signal processing and communications to demonstrate how these tools can be used to analyze and optimize the performance of engineering systems. Covering un-patterned and certain patterned matrices, this self-contained and easy-to-follow reference deals with applications in a range of areas including wireless communications, control theory, adaptive filtering, resource management and digital signal processing. Over 80 end-of-chapter exercises are provided, with a complete solutions manual available online"

Foundations of Signal Processing

Author : Martin Vetterli
Publisher : Cambridge University Press
ISBN 13 : 1139916572
Total Pages : 745 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Foundations of Signal Processing by : Martin Vetterli

Download or read book Foundations of Signal Processing written by Martin Vetterli and published by Cambridge University Press. This book was released on 2014-09-04 with total page 745 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive and engaging textbook introduces the basic principles and techniques of signal processing, from the fundamental ideas of signals and systems theory to real-world applications. Students are introduced to the powerful foundations of modern signal processing, including the basic geometry of Hilbert space, the mathematics of Fourier transforms, and essentials of sampling, interpolation, approximation and compression The authors discuss real-world issues and hurdles to using these tools, and ways of adapting them to overcome problems of finiteness and localization, the limitations of uncertainty, and computational costs. It includes over 160 homework problems and over 220 worked examples, specifically designed to test and expand students' understanding of the fundamentals of signal processing, and is accompanied by extensive online materials designed to aid learning, including Mathematica® resources and interactive demonstrations.

Data Science and Security

Author : Samiksha Shukla
Publisher : Springer Nature
ISBN 13 : 981192211X
Total Pages : 505 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Data Science and Security by : Samiksha Shukla

Download or read book Data Science and Security written by Samiksha Shukla and published by Springer Nature. This book was released on 2022-07-01 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents best selected papers presented at the International Conference on Data Science for Computational Security (IDSCS 2022), organized by the Department of Data Science, CHRIST (Deemed to be University), Pune Lavasa Campus, India, during 11 – 12 February 2022. The book proposes new technologies and discusses future solutions and applications of data science, data analytics and security. The book targets current research works in the areas of data science, data security, data analytics, artificial intelligence, machine learning, computer vision, algorithms design, computer networking, data mining, big data, text mining, knowledge representation, soft computing and cloud computing.

Advanced Linear Algebra for Engineers with MATLAB

Author : Sohail A. Dianat
Publisher : CRC Press
ISBN 13 : 1420095242
Total Pages : 346 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Advanced Linear Algebra for Engineers with MATLAB by : Sohail A. Dianat

Download or read book Advanced Linear Algebra for Engineers with MATLAB written by Sohail A. Dianat and published by CRC Press. This book was released on 2017-12-19 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arming readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers with MATLAB® provides real-life problems that readers can use to model and solve engineering and scientific problems in fields ranging from signal processing and communications to electromagnetics and social and health sciences. Facilitating a unique understanding of rapidly evolving linear algebra and matrix methods, this book: Outlines the basic concepts and definitions behind matrices, matrix algebra, elementary matrix operations, and matrix partitions, describing their potential use in signal and image processing applications Introduces concepts of determinants, inverses, and their use in solving linear equations that result from electrical and mechanical-type systems Presents special matrices, linear vector spaces, and fundamental principles of orthogonality, using an appropriate blend of abstract and concrete examples and then discussing associated applications to enhance readers’ visualization of presented concepts Discusses linear operators, eigenvalues, and eigenvectors, and explores their use in matrix diagonalization and singular value decomposition Extends presented concepts to define matrix polynomials and compute functions using several well-known methods, such as Sylvester’s expansion and Cayley-Hamilton Introduces state space analysis and modeling techniques for discrete and continuous linear systems, and explores applications in control and electromechanical systems, to provide a complete solution for the state space equation Shows readers how to solve engineering problems using least square, weighted least square, and total least square techniques Offers a rich selection of exercises and MATLAB® assignments that build a platform to enhance readers’ understanding of the material Striking the appropriate balance between theory and real-life applications, this book provides both advanced students and professionals in the field with a valuable reference that they will continually consult.

Gröbner Bases in Control Theory and Signal Processing

Author : Hyungju Park
Publisher : Walter de Gruyter
ISBN 13 : 311090974X
Total Pages : 261 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Gröbner Bases in Control Theory and Signal Processing by : Hyungju Park

Download or read book Gröbner Bases in Control Theory and Signal Processing written by Hyungju Park and published by Walter de Gruyter. This book was released on 2011-12-22 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains survey and original articles presenting the state of the art on the application of Gröbner bases in control theory and signal processing. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods at the Johann Radon Institute of Computational and Applied Mathematics (RICAM), Linz, Austria, in May 2006.