Fundamentals Of Signal Processing In Generalized Metric Spaces PDF Download
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Author | : Andrey Popoff |
Publisher | : CRC Press |
Total Pages | : 839 |
Release | : 2022-04-19 |
Genre | : Technology & Engineering |
ISBN | : 1000572005 |
Download Fundamentals of Signal Processing in Generalized Metric Spaces Book in PDF, ePub and Kindle
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 |
Total Pages | : 449 |
Release | : 2022-04-19 |
Genre | : Technology & Engineering |
ISBN | : 1000571971 |
Download Fundamentals of Signal Processing in Generalized Metric Spaces Book in PDF, ePub and Kindle
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 |
Total Pages | : 418 |
Release | : 2017-11-03 |
Genre | : Mathematics |
ISBN | : 1351597132 |
Download Fundamentals of Signal Processing in Metric Spaces with Lattice Properties Book in PDF, ePub and Kindle
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 |
Total Pages | : 1080 |
Release | : 2022-02-26 |
Genre | : Technology & Engineering |
ISBN | : 3030969088 |
Download Cyber Security Intelligence and Analytics Book in PDF, ePub and Kindle
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 | : Erchin Serpedin |
Publisher | : CRC Press |
Total Pages | : 859 |
Release | : 2017-12-04 |
Genre | : Computers |
ISBN | : 1466514086 |
Download Mathematical Foundations for Signal Processing, Communications, and Networking Book in PDF, ePub and Kindle
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.
Author | : Martin Vetterli |
Publisher | : |
Total Pages | : 745 |
Release | : 2014 |
Genre | : Signal processing |
ISBN | : 9781139904889 |
Download Foundations of Signal Processing Book in PDF, ePub and Kindle
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 | : XINGCHAO;JI JIAN (FENG;TAY, WEE PENG.) |
Publisher | : |
Total Pages | : 0 |
Release | : 2023 |
Genre | : TECHNOLOGY & ENGINEERING |
ISBN | : 9781638281511 |
Download Generalizing Graph Signal Processing Book in PDF, ePub and Kindle
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 | : Todd K. Moon |
Publisher | : Pearson |
Total Pages | : 990 |
Release | : 2000 |
Genre | : Computers |
ISBN | : |
Download Mathematical Methods and Algorithms for Signal Processing Book in PDF, ePub and Kindle
This previously included a CD. The CD contents can be accessed via World Wide Web.
Author | : J. G. McWhirter |
Publisher | : |
Total Pages | : 408 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : |
Download Mathematics in Signal Processing Four Book in PDF, ePub and Kindle
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 | : Raoul R. Nigmatullin |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2020-05-24 |
Genre | : Technology & Engineering |
ISBN | : 9783030453589 |
Download New Digital Signal Processing Methods Book in PDF, ePub and Kindle
This book is intended as a manual on modern advanced statistical methods for signal processing. The objectives of signal processing are the analysis, synthesis, and modification of signals measured from different natural phenomena, including engineering applications as well. Often the measured signals are affected by noise, distortion and incompleteness, and this makes it difficult to extract significant signal information. The main topic of the book is the extraction of significant information from measured data, with the aim of reducing the data size while keeping the basic information/knowledge about the peculiarities and properties of the analyzed system; to this aim, advanced and recently developed methods in signal analysis and treatment are introduced and described in depth. More in details, the book covers the following new advanced topics (and the corresponding algorithms), including detailed descriptions and discussions: the Eigen-Coordinates (ECs) method, The statistics of the fractional moments, The quantitative "universal" label (QUL) and the universal distribution function for the relative fluctuations (UDFRF), the generalized Prony spectrum, the Non-orthogonal Amplitude Frequency Analysis of the Smoothed Signals (NAFASS), the discrete geometrical invariants (DGI) serving as the common platform for quantitative comparison of different random functions. Although advanced topics are discussed in signal analysis, each subject is introduced gradually, with the use of only the necessary mathematics, and avoiding unnecessary abstractions. Each chapter presents testing and verification examples on real data for each proposed method. In comparison with other books, here it is adopted a more practical approach with numerous real case studies.