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Author: Andrey Popoff Publisher: CRC Press ISBN: 1000572005 Category : Technology & Engineering Languages : en Pages : 839
Book Description
Exploring the interrelations between generalized metric spaces, lattice-ordered groups, and order statistics, the book contains a new algebraic approach to Signal Processing Theory. It describes mathematical concepts and results important in the development, analysis, and optimization of signal processing algorithms intended for various applications. The book offers a solution of large-scale Signal Processing Theory problems of increasing both signal processing efficiency under prior uncertainty conditions and signal processing rate that is provided by multiplication-free signal processing algorithms based on lattice-ordered group operations. From simple basic relationships to computer simulation, the text covers a wide range of new mathematical techniques essential for understanding the proposed signal processing algorithms developed for solving the following problems: signal parameter and spectral estimation, signal filtering, detection, classification, and resolution; array signal processing; demultiplexing and demodulation in multi-channel communication systems and multi-station networks; wavelet analysis of 1D/ 2D signals. Along with discussing mathematical aspects, each chapter presents examples illustrating operation of signal processing algorithms developed for various applications. The book helps readers understand relations between known classic and obtained results as well as recent research trends in Signal Processing Theory and its applications, providing all necessary mathematical background concerning lattice-ordered groups to prepare readers for independent work in the marked directions including more advanced research and development.
Author: Andrey Popoff Publisher: CRC Press ISBN: 1000572005 Category : Technology & Engineering Languages : en Pages : 839
Book Description
Exploring the interrelations between generalized metric spaces, lattice-ordered groups, and order statistics, the book contains a new algebraic approach to Signal Processing Theory. It describes mathematical concepts and results important in the development, analysis, and optimization of signal processing algorithms intended for various applications. The book offers a solution of large-scale Signal Processing Theory problems of increasing both signal processing efficiency under prior uncertainty conditions and signal processing rate that is provided by multiplication-free signal processing algorithms based on lattice-ordered group operations. From simple basic relationships to computer simulation, the text covers a wide range of new mathematical techniques essential for understanding the proposed signal processing algorithms developed for solving the following problems: signal parameter and spectral estimation, signal filtering, detection, classification, and resolution; array signal processing; demultiplexing and demodulation in multi-channel communication systems and multi-station networks; wavelet analysis of 1D/ 2D signals. Along with discussing mathematical aspects, each chapter presents examples illustrating operation of signal processing algorithms developed for various applications. The book helps readers understand relations between known classic and obtained results as well as recent research trends in Signal Processing Theory and its applications, providing all necessary mathematical background concerning lattice-ordered groups to prepare readers for independent work in the marked directions including more advanced research and development.
Author: Andrey Popoff Publisher: CRC Press ISBN: 1351597132 Category : Mathematics Languages : en Pages : 418
Book Description
Exploring the interrelation between information theory and signal processing theory, the book contains a new algebraic approach to signal processing theory. Readers will learn this new approach to constructing the unified mathematical fundamentals of both information theory and signal processing theory in addition to new methods of evaluating quality indices of signal processing. The book discusses the methodology of synthesis and analysis of signal processing algorithms providing qualitative increase of signal processing efficiency under parametric and nonparametric prior uncertainty conditions. Examples are included throughout the book to further emphasize new material.
Author: Zheng Xu Publisher: Springer Nature ISBN: 3030969088 Category : Technology & Engineering Languages : en Pages : 1080
Book Description
This book presents the outcomes of the 2022 4th International Conference on Cyber Security Intelligence and Analytics (CSIA 2022), an international conference dedicated to promoting novel theoretical and applied research advances in the interdisciplinary field of cyber-security, particularly focusing on threat intelligence, analytics, and countering cyber-crime. The conference provides a forum for presenting and discussing innovative ideas, cutting-edge research findings and novel techniques, methods and applications on all aspects of cyber-security intelligence and analytics. Due to COVID-19, authors, keynote speakers and PC committees will attend the conference online.
Author: Martin Vetterli Publisher: ISBN: 9781139904889 Category : Signal processing Languages : en Pages : 745
Book Description
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.
Author: Ronald L. Allen Publisher: John Wiley & Sons ISBN: 0471660361 Category : Technology & Engineering Languages : en Pages : 961
Book Description
Offers a well-rounded, mathematical approach to problems in signal interpretation using the latest time, frequency, and mixed-domain methods Equally useful as a reference, an up-to-date review, a learning tool, and a resource for signal analysis techniques Provides a gradual introduction to the mathematics so that the less mathematically adept reader will not be overwhelmed with instant hard analysis Covers Hilbert spaces, complex analysis, distributions, random signals, analog Fourier transforms, and more
Author: XINGCHAO;JI JIAN (FENG;TAY, WEE PENG.) Publisher: ISBN: 9781638281511 Category : TECHNOLOGY & ENGINEERING Languages : en Pages : 0
Book Description
In modern data analysis, massive measurements from a network require novel signal processing techniques, which are expected to be adapted to the network topology, have distributed implementation, and are flexible enough for various applications. Graph signal processing (GSP) theories and techniques are geared towards these goals.GSP has seen rapid developments in recent years. Since its introduction around ten years ago, we have seen numerous new ideas and practical applications related to the field. In this monograph, an overview of recent advances in generalizing GSP is presented, with a focus on the extension to high-dimensional spaces, models, and structures. Alongside new frameworks proposed to tackle such problems, many new mathematical tools are introduced.In the first part of the monograph, traditional GSP is reviewed, challenges that it faces are highlighted, and efforts in overcoming such challenges are motivated. These efforts then become the theme for the rest of the publication. Included are the generalization of GSP to high dimensional vertex signal spaces, the theory of random shift operators and the wide-sense stationary (WSS) statistical signal models, and the treatment of high dimensionality in graph structures and generalized graph-like structures. The monograph concludes with an outline of possible future directions.
Author: J. G. McWhirter Publisher: ISBN: Category : Mathematics Languages : en Pages : 408
Book Description
This volume provides an overview of the wide range of mathematical topics in signal processing. The focus is on alternative algebras for signal processing, particularly multilinear and geometric algebra and Gröbner bases. Other topics include array processing and digital communications, wavelets, nonlinear signal processing, Padé approximation, convex optimization, and generalized eigenvalue decomposition. Blending theory and practice, the volume will appeal to a wide range of engineers and mathematicians.
Author: Martin Vetterli Publisher: Cambridge University Press ISBN: 1139916572 Category : Technology & Engineering Languages : en Pages : 745
Book Description
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.
Author: Arild Lacroix Publisher: Springer Verlag ISBN: 9783540413400 Category : Technology & Engineering Languages : en Pages : 262
Book Description
This book not only deals with the fundamental aspects of Digital Signal Processing. Moreover, it provides an in-depth presentation of the state of the art in the processing of one-dimensional signals. It is written for students on a graduate level, as well as for scientists and research engineers. The first part covers discrete time signals. The fundamental relations and theorems of the Z-transform are explained and examples are provided as illustration. Different signal types such as deterministic and stochastic, periodic and transient, and single and multirate signals are considered. In the second part discrete time systems are in-vestigated. Topics such as impulse response, system function, and frequence response are derived for linear time-invariant systems. Recursive and nonrecursive systems, linear phase, and allpass systems are analysed in detail.
Author: Chong-Yung Chi Publisher: CRC Press ISBN: 9780367573928 Category : Convex functions Languages : en Pages : 432
Book Description
Convex Optimization for Signal Processing and Communications: From Fundamentals to Applications provides fundamental background knowledge of convex optimization, while striking a balance between mathematical theory and applications in signal processing and communications. In addition to comprehensive proofs and perspective interpretations for core convex optimization theory, this book also provides many insightful figures, remarks, illustrative examples, and guided journeys from theory to cutting-edge research explorations, for efficient and in-depth learning, especially for engineering students and professionals. With the powerful convex optimization theory and tools, this book provides you with a new degree of freedom and the capability of solving challenging real-world scientific and engineering problems.
Author: Andrey Popoff
Author: Andrey Popoff
Author: Andrey Popoff
Author: Zheng Xu
Author: Martin Vetterli
Author: Ronald L. Allen
Author: XINGCHAO;JI JIAN (FENG;TAY, WEE PENG.)
Author: J. G. McWhirter
Author: Martin Vetterli
Author: Arild Lacroix
Author: Chong-Yung Chi