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Polynomial Signal Processing
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Book Synopsis Polynomial Signal Processing by : V. John Mathews
Download or read book Polynomial Signal Processing written by V. John Mathews and published by Wiley-Interscience. This book was released on 2000-05 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite our growing understanding of the properties and capabilities of nonlinear filters, there persists the belief among engineers that these filters are too complex to implement. This book debunks the myth that all nonlinear filters are complex with its coverage of the polynomial filter. It examines all major aspects of the technology, including system modeling, speed analysis, image processing, communications, biological signal processing, semiconductor modeling, neutral sets, and more.
Book Synopsis Signal Processing Applications Using Multidimensional Polynomial Splines by : Dhananjay Singh
Download or read book Signal Processing Applications Using Multidimensional Polynomial Splines written by Dhananjay Singh and published by Springer. This book was released on 2018-12-07 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights new methods, algorithms and software for the digital processing and recovery of signals. In addition, it describes a new method for modeling one dimensional and multidimensional signals as successions of local polynomial splines and their spectral characteristics. It provides examples of how the proposed methods can be applied in specific cases, together with signal processing software examples in the MATLAB environment, and models of special processes in the Simulink environment. The book’s goal is to make it easier for beginners to understand the subject matter; it is intended for engineers, undergraduate and graduate students engaged in research or the evaluation and design of hardware and software for the digital processing and recovery of signals.
Book Synopsis Positive Trigonometric Polynomials and Signal Processing Applications by : Bogdan Dumitrescu
Download or read book Positive Trigonometric Polynomials and Signal Processing Applications written by Bogdan Dumitrescu and published by Springer. This book was released on 2017-03-20 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The book has two parts: theory and applications. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set). The applications part is organized as a collection of related problems that use systematically the theoretical results.
Author :Bogdan Alexandru Dumitrescu Publisher :Springer Science & Business Media ISBN 13 :1402051255 Total Pages :253 pages Book Rating :4.4/5 (2 download)
Book Synopsis Positive Trigonometric Polynomials and Signal Processing Applications by : Bogdan Alexandru Dumitrescu
Download or read book Positive Trigonometric Polynomials and Signal Processing Applications written by Bogdan Alexandru Dumitrescu and published by Springer Science & Business Media. This book was released on 2007-04-27 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The book has two parts: theory and applications. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set). The applications part is organized as a collection of related problems that use systematically the theoretical results.
Book Synopsis Algorithms for Polynomial-based Signal Processing by : David Starer
Download or read book Algorithms for Polynomial-based Signal Processing written by David Starer and published by . This book was released on 1990 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Polynomial Transforms by : John E. Haggerty
Download or read book Polynomial Transforms written by John E. Haggerty and published by . This book was released on 1994 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this thesis is to provide a tutorial of the discrete polynomial transforms and to show some applications of these transforms in the fields of signal processing and image processing.
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.
Book Synopsis Optimum Signal Processing by : Sophocles J. Orfanidis
Download or read book Optimum Signal Processing written by Sophocles J. Orfanidis and published by . This book was released on 2007 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Science & Business Media. This book was released on 2012-12-06 with total page 150 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.
Book Synopsis Digital Signal Processing Algorithms by : Hari Krishna
Download or read book Digital Signal Processing Algorithms written by Hari Krishna and published by CRC Press. This book was released on 1998-03-25 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Signal Processing Algorithms describes computational number theory and its applications to deriving fast algorithms for digital signal processing. It demonstrates the importance of computational number theory in the design of digital signal processing algorithms and clearly describes the nature and structure of the algorithms themselves. The book has two primary focuses: first, it establishes the properties of discrete-time sequence indices and their corresponding fast algorithms; and second, it investigates the properties of the discrete-time sequences and the corresponding fast algorithms for processing these sequences. Digital Signal Processing Algorithms examines three of the most common computational tasks that occur in digital signal processing; namely, cyclic convolution, acyclic convolution, and discrete Fourier transformation. The application of number theory to deriving fast and efficient algorithms for these three and related computationally intensive tasks is clearly discussed and illustrated with examples. Its comprehensive coverage of digital signal processing, computer arithmetic, and coding theory makes Digital Signal Processing Algorithms an excellent reference for practicing engineers. The authors' intent to demystify the abstract nature of number theory and the related algebra is evident throughout the text, providing clear and precise coverage of the quickly evolving field of digital signal processing.
Book Synopsis Polynomial Methods in Optimal Control and Filtering by : Kenneth J. Hunt
Download or read book Polynomial Methods in Optimal Control and Filtering written by Kenneth J. Hunt and published by IET. This book was released on 1993 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to demonstrate the power and breadth of polynomial methods in control and filtering. Direct polynomial methods have previously received little attention compared with the alternative Wiener-Hopf transfer-function method and the statespace methods which rely on Riccati equations. The book provides a broad coverage of the polynomial equation approach in a range of linear control and filtering problems. The principal feature of the approach is the description of systems in fractional form using transfer functions. This representation leads quite naturally and directly to the parameterisation of all 'acceptable' feedback controllers for a given problem in the form of a Diophantine equation over polynomials. In the polynomial equation approach, this direct parameterisation is explicitly carried through to the synthesis of controllers and filters and, further, to the computer implementation of numerical algorithms. The book is likely to be of interest to students, researchers and engineers with some control and systems theory or signal processing background. It could be used as the basis of a graduate-level course in optimal control and filtering. The book proceeds from the necessary background material presented at a tutorial level, through recent theoretical and practical developments, to a detailed presentation of numerical algorithms.
Book Synopsis Polynomial Decomposition Algorithms in Signal Processing by : Guolong Su (S.M.)
Download or read book Polynomial Decomposition Algorithms in Signal Processing written by Guolong Su (S.M.) and published by . This book was released on 2013 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomial decomposition has attracted considerable attention in computational mathematics. In general, the field identifies polynomials f(x) and g(x) such that their composition f(g(x)) equals or approximates a given polynomial h(x). Despite potentially promising applications, polynomial decomposition has not been significantly utilized in signal processing. This thesis studies the sensitivities of polynomial composition and decomposition to explore their robustness in potential signal processing applications and develops effective polynomial decomposition algorithms to be applied in a signal processing context. First, we state the problems of sensitivity, exact decomposition, and approximate decomposition. After that, the sensitivities of the composition and decomposition operations are theoretically derived from the perspective of robustness. In particular, we present and validate an approach to decrease certain sensitivities by using equivalent compositions, and a practical rule for parameter selection is proposed to get to a point that is near the minimum of these sensitivities. Then, new algorithms are proposed for the exact decomposition problems, and simulations are performed to make comparison with existing approaches. Finally, existing and new algorithms for the approximate decomposition problems are presented and evaluated using numerical simulations.
Book Synopsis Positive Trigonometric Polynomials and Signal Processing Applications by : Bogdan Alexandru Dumitrescu
Download or read book Positive Trigonometric Polynomials and Signal Processing Applications written by Bogdan Alexandru Dumitrescu and published by Springer. This book was released on 2009-09-03 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the main recent results on positive trigonometric polynomials within a unitary framework. The book has two parts: theory and applications. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set). The applications part is organized as a collection of related problems that use systematically the theoretical results.
Book Synopsis Digital Signal Processing Demystified by : James D. Broesch
Download or read book Digital Signal Processing Demystified written by James D. Broesch and published by Elsevier. This book was released on 2000-02-20 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: James D. Broesch is a staff engineer for General Atomics, where he is responsible for the design and development of several advanced control systems used on fusion control programs. He also teaches classes in signal processing and hardware design at the University of California-San Diego. · Integrated book/software package allows readers to simulate digital signal processing (DSP) situations and experiment with effects of different DSP techniques.· Gives an applications-oriented approach to DSP instead of a purely mathematical one.· The accompanying CD includes a DSP "calculator" to help solve design problems
Book Synopsis Introduction to Digital Filters by : Julius Orion Smith
Download or read book Introduction to Digital Filters written by Julius Orion Smith and published by Julius Smith. This book was released on 2007 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: A digital filter can be pictured as a "black box" that accepts a sequence of numbers and emits a new sequence of numbers. In digital audio signal processing applications, such number sequences usually represent sounds. For example, digital filters are used to implement graphic equalizers and other digital audio effects. This book is a gentle introduction to digital filters, including mathematical theory, illustrative examples, some audio applications, and useful software starting points. The theory treatment begins at the high-school level, and covers fundamental concepts in linear systems theory and digital filter analysis. Various "small" digital filters are analyzed as examples, particularly those commonly used in audio applications. Matlab programming examples are emphasized for illustrating the use and development of digital filters in practice.
Book Synopsis Digital Signal Processing Algorithms by : Hari Krishna
Download or read book Digital Signal Processing Algorithms written by Hari Krishna and published by Routledge. This book was released on 2017-11-22 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Signal Processing Algorithms describes computational number theory and its applications to deriving fast algorithms for digital signal processing. It demonstrates the importance of computational number theory in the design of digital signal processing algorithms and clearly describes the nature and structure of the algorithms themselves. The book has two primary focuses: first, it establishes the properties of discrete-time sequence indices and their corresponding fast algorithms; and second, it investigates the properties of the discrete-time sequences and the corresponding fast algorithms for processing these sequences. Digital Signal Processing Algorithms examines three of the most common computational tasks that occur in digital signal processing; namely, cyclic convolution, acyclic convolution, and discrete Fourier transformation. The application of number theory to deriving fast and efficient algorithms for these three and related computationally intensive tasks is clearly discussed and illustrated with examples. Its comprehensive coverage of digital signal processing, computer arithmetic, and coding theory makes Digital Signal Processing Algorithms an excellent reference for practicing engineers. The authors' intent to demystify the abstract nature of number theory and the related algebra is evident throughout the text, providing clear and precise coverage of the quickly evolving field of digital signal processing.
Book Synopsis New Digital Signal Processing Methods by : Raoul R. Nigmatullin
Download or read book New Digital Signal Processing Methods written by Raoul R. Nigmatullin and published by Springer Nature. This book was released on 2020-05-23 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
