Fundamentals Of Signal Processing In Generalized Metric Spaces

Author : Andrey Popoff
Publisher : CRC Press
Page : 839 pages
File Size : 45,6 Mb
Release : 2022-04-19
Category : Technology & Engineering
ISBN : 9781000572001

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Fundamentals of Signal Processing in Generalized Metric Spaces by Andrey Popoff Pdf

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
Page : 418 pages
File Size : 40,6 Mb
Release : 2017-11-03
Category : Mathematics
ISBN : 9781351597135

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Fundamentals of Signal Processing in Metric Spaces with Lattice Properties by Andrey Popoff Pdf

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,Saed Alrabaee,Octavio Loyola-González,Xiaolu Zhang,Niken Dwi Wahyu Cahyani,Nurul Hidayah Ab Rahman
Publisher : Springer Nature
Page : 1080 pages
File Size : 51,8 Mb
Release : 2022-02-26
Category : Technology & Engineering
ISBN : 9783030969080

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Cyber Security Intelligence and Analytics by Zheng Xu,Saed Alrabaee,Octavio Loyola-González,Xiaolu Zhang,Niken Dwi Wahyu Cahyani,Nurul Hidayah Ab Rahman Pdf

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,Jelena Kovačević,Vivek K Goyal
Publisher : Cambridge University Press
Page : 745 pages
File Size : 44,9 Mb
Release : 2014-09-04
Category : Computers
ISBN : 9781107038608

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Foundations of Signal Processing by Martin Vetterli,Jelena Kovačević,Vivek K Goyal Pdf

This comprehensive and accessible textbook introduces students to the basics of modern signal processing techniques.

Author : Martin Vetterli,Jelena Kovačević,Vivek K. Goyal
Publisher : Unknown
Page : 745 pages
File Size : 55,7 Mb
Release : 2014
Category : Signal processing
ISBN : 1139904884

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Foundations of Signal Processing by Martin Vetterli,Jelena Kovačević,Vivek K. Goyal Pdf

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.),Feng Ji,Wee Peng Tay
Publisher : Unknown
Page : 0 pages
File Size : 47,6 Mb
Release : 2023
Category : TECHNOLOGY & ENGINEERING
ISBN : 1638281513

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Generalizing Graph Signal Processing by XINGCHAO;JI JIAN (FENG;TAY, WEE PENG.),Feng Ji,Wee Peng Tay Pdf

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 : Arild Lacroix
Publisher : Springer Verlag
Page : 262 pages
File Size : 43,8 Mb
Release : 2006-01
Category : Technology & Engineering
ISBN : 3540413405

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Fundamentals of Digital Signal Processing by Arild Lacroix Pdf

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 : Paolo Prandoni,Martin Vetterli
Publisher : Collection Savoir suisse
Page : 392 pages
File Size : 46,7 Mb
Release : 2008-06-17
Category : Signal processing
ISBN : 9782940222209

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Signal Processing for Communications by Paolo Prandoni,Martin Vetterli Pdf

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.

Author : Lewis Embree Franks
Publisher : Unknown
Page : 344 pages
File Size : 43,6 Mb
Release : 1981
Category : Signal theory (Telecommunication).
ISBN : CORNELL:31924073197349

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Signal Theory by Lewis Embree Franks Pdf

Author : Steven M. Kay (Statistiek)
Publisher : Unknown
Page : 128 pages
File Size : 46,9 Mb
Release : 1993
Category : Estimation theory
ISBN : OCLC:915914107

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Fundamentals of Statistical Signal Processing by Steven M. Kay (Statistiek) Pdf

Author : Michael D. Adams
Publisher : Michael Adams
Page : 580 pages
File Size : 42,7 Mb
Release : 2013-09-26
Category : Electric filters
ISBN : 9781550585087

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Multiresolution Signal and Geometry Processing: Filter Banks, Wavelets, and Subdivision (Version: 2013-09-26) by Michael D. Adams Pdf

This book is intended for use in the teaching of graduate and senior undergraduate courses on multiresolution signal and geometry processing in the 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 well received by students. This book provides a comprehensive introduction to multiresolution signal and geometry processing, with a focus on both theory and applications. The book has two main components, corresponding to multiresolution processing in the contexts of: 1) signal processing and 2) geometry processing. The signal-processing component of the book studies one-dimensional and multi-dimensional multirate systems, considering multirate structures such as sampling-rate converters, filter banks, and transmultiplexers. A particularly strong emphasis is placed on filter banks. Univariate and multivariate wavelet systems are examined, with the biorthogonal and orthonormal cases both being considered. The relationship between filter banks and wavelet systems is established. Several applications of filter banks and wavelets in signal processing are covered, including signal coding, image compression, and noise reduction. For readers interested in image compression, a detailed overview of the JPEG-2000 standard is also provided. Some other applications of multirate systems are considered, such as transmultiplexers for communication systems (e.g., multicarrier modulation). The geometry-processing component of the book studies subdivision surfaces and subdivision wavelets. Some mathematical background relating to geometry processing is provided, including topics such as homogeneous coordinate transformations, manifolds, surface representations, and polygon meshes. Several subdivision schemes are examined in detail, including the Loop, Kobbelt sqrt(3), and Catmull-Clark methods. The application of subdivision surfaces in computer graphics is considered. A detailed introduction to functional analysis is provided, for those who would like a deeper understanding of the mathematics underlying wavelets and filter banks. For those who are interested in software applications of the material covered in the book, appendices are included that introduce the CGAL and OpenGL libraries. Also, an appendix on the SPL library (which was developed for use with this book) is included. Throughout the book, many worked-through examples are provided. Problem sets are also provided for each major topic covered.

Author : Robert M. Gray,Lee D. Davisson
Publisher : Cambridge University Press
Page : 479 pages
File Size : 52,8 Mb
Release : 2004-12-02
Category : Technology & Engineering
ISBN : 9781139456289

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An Introduction to Statistical Signal Processing by Robert M. Gray,Lee D. Davisson Pdf

This book describes the essential tools and techniques of statistical signal processing. At every stage theoretical ideas are linked to specific applications in communications and signal processing using a range of carefully chosen examples. The book begins with a development of basic probability, random objects, expectation, and second order moment theory followed by a wide variety of examples of the most popular random process models and their basic uses and properties. Specific applications to the analysis of random signals and systems for communicating, estimating, detecting, modulating, and other processing of signals are interspersed throughout the book. Hundreds of homework problems are included and the book is ideal for graduate students of electrical engineering and applied mathematics. It is also a useful reference for researchers in signal processing and communications.

Author : Steven M. Kay
Publisher : Unknown
Page : 128 pages
File Size : 44,7 Mb
Release : 2010
Category : Electronic
ISBN : OCLC:778241266

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Fundamentals of Statistical Signal Processing by Steven M. Kay Pdf

Author : Charles L. Byrne
Publisher : CRC Press
Page : 436 pages
File Size : 49,9 Mb
Release : 2014-11-12
Category : Computers
ISBN : 9781482241853

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Signal Processing by Charles L. Byrne Pdf

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, probab

Author : Anonim
Publisher : Unknown
Page : 612 pages
File Size : 45,9 Mb
Release : 1998
Category : Mathematical analysis
ISBN : UCAL:B4585802

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SIAM Journal on Matrix Analysis and Applications by Anonim Pdf