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Nonlinear Digital Filters

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Nonlinear Digital Filters

Nonlinear Digital Filters Book
Author : Wing-Kuen Ling
Publisher : Academic Press
Release : 2007
ISBN : 9780123725363
Language : En, Es, Fr & De

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Book Description :

This book provides an easy to understand overview of nonlinear behavior in digital filters, showing how it can be utilized or avoided when operating nonlinear digital filters. It gives techniques for analyzing discrete-time systems with discontinuous linearity, enabling the analysis of other nonlinear discrete-time systems, such as sigma delta modulators, digital phase lock loops and turbo coders. Features: • Uses new methods based on symbolic dynamics, enabling the engineer more easily to operate reliable nonlinear digital filters • Gives practical, 'real-world' applications of nonlinear digital filter • Includes many examples, together with Matlab source code available on an accompanying website Nonlinear Digital Filters: Analysis and Applications is ideal for professional engineers working with signal processing applications, as well as advanced undergraduates and graduates conducting a nonlinear filter analysis project. Companion website at http://books.elsevier.com/9780123725363 · Uses new methods based on symbolic dynamics, enabling the engineer more easily to operate reliable nonlinear digital filters · Gives practical, 'real-world' applications of nonlinear digital filter · Includes many examples, together with Matlab source code available on an accompanying website

Fundamentals of Nonlinear Digital Filtering

Fundamentals of Nonlinear Digital Filtering Book
Author : Jaakko Astola,Pauli Kuosmanen
Publisher : CRC Press
Release : 1997-05-21
ISBN : 9780849325700
Language : En, Es, Fr & De

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Book Description :

Fundamentals of Nonlinear Digital Filtering is the first book of its kind, presenting and evaluating current methods and applications in nonlinear digital filtering. Written for professors, researchers, and application engineers, as well as for serious students of signal processing, this is the only book available that functions as both a reference handbook and a textbook. Solid introductory material, balanced coverage of theoretical and practical aspects, and dozens of examples provide you with a self-contained, comprehensive information source on nonlinear filtering and its applications.

Nonlinear Digital Filters

Nonlinear Digital Filters Book
Author : W. K. Ling
Publisher : Academic Press
Release : 2010-07-27
ISBN : 9780080550015
Language : En, Es, Fr & De

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Book Description :

Nonlinear Digital Filters provides an easy to understand overview of nonlinear behavior in digital filters, showing how it can be utilized or avoided when operating nonlinear digital filters. It gives techniques for analyzing discrete-time systems with discontinuous linearity, enabling the analysis of other nonlinear discrete-time systems, such as sigma delta modulators, digital phase lock loops, and turbo coders. It uses new methods based on symbolic dynamics, enabling the engineer to easily operate reliable nonlinear digital filters. It gives practical, 'real-world' applications of nonlinear digital filters and contains many examples. The book is ideal for professional engineers working with signal processing applications, as well as advanced undergraduates and graduates conducting a nonlinear filter analysis project. Uses new methods based on symbolic dynamics, enabling the engineer more easily to operate reliable nonlinear digital filters Gives practical, "real-world" applications of nonlinear digital filter Includes many examples.

Nonlinear Digital Filters

Nonlinear Digital Filters Book
Author : Ioannis Pitas,Anastasios N. Venetsanopoulos
Publisher : Springer Science & Business Media
Release : 2013-03-14
ISBN : 1475760175
Language : En, Es, Fr & De

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Book Description :

The function of a filter is to transform a signal into another one more suit able for a given purpose. As such, filters find applications in telecommunica tions, radar, sonar, remote sensing, geophysical signal processing, image pro cessing, and computer vision. Numerous authors have considered deterministic and statistical approaches for the study of passive, active, digital, multidimen sional, and adaptive filters. Most of the filters considered were linear although the theory of nonlinear filters is developing rapidly, as it is evident by the numerous research papers and a few specialized monographs now available. Our research interests in this area created opportunity for cooperation and co authored publications during the past few years in many nonlinear filter families described in this book. As a result of this cooperation and a visit from John Pitas on a research leave at the University of Toronto in September 1988, the idea for this book was first conceived. The difficulty in writing such a mono graph was that the area seemed fragmented and no general theory was available to encompass the many different kinds of filters presented in the literature. However, the similarities of some families of nonlinear filters and the need for such a monograph providing a broad overview of the whole area made the pro ject worthwhile. The result is the book now in your hands, typeset at the Department of Electrical Engineering of the University of Toronto during the summer of 1989.

Nonlinear Digital Filtering with Python

Nonlinear Digital Filtering with Python Book
Author : Ronald K. Pearson,Moncef Gabbouj
Publisher : CRC Press
Release : 2018-09-03
ISBN : 1498714137
Language : En, Es, Fr & De

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Book Description :

Nonlinear Digital Filtering with Python: An Introduction discusses important structural filter classes including the median filter and a number of its extensions (e.g., weighted and recursive median filters), and Volterra filters based on polynomial nonlinearities. Adopting both structural and behavioral approaches in characterizing and designing nonlinear digital filters, this book: Begins with an expedient introduction to programming in the free, open-source computing environment of Python Uses results from algebra and the theory of functional equations to construct and characterize behaviorally defined nonlinear filter classes Analyzes the impact of a range of useful interconnection strategies on filter behavior, providing Python implementations of the presented filters and interconnection strategies Proposes practical, bottom-up strategies for designing more complex and capable filters from simpler components in a way that preserves the key properties of these components Illustrates the behavioral consequences of allowing recursive (i.e., feedback) interconnections in nonlinear digital filters while highlighting a challenging but promising research frontier Nonlinear Digital Filtering with Python: An Introduction supplies essential knowledge useful for developing and implementing data cleaning filters for dynamic data analysis and time-series modeling.

Introduction to Digital Filters

Introduction to Digital Filters Book
Author : Julius Orion Smith
Publisher : Julius Smith
Release : 2007
ISBN : 0974560715
Language : En, Es, Fr & De

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Book Description :

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.

Complex Valued Nonlinear Adaptive Filters

Complex Valued Nonlinear Adaptive Filters Book
Author : Danilo P. Mandic,Vanessa Su Lee Goh
Publisher : John Wiley & Sons
Release : 2009-04-20
ISBN : 0470742631
Language : En, Es, Fr & De

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Book Description :

This book was written in response to the growing demand for a text that provides a unified treatment of linear and nonlinear complex valued adaptive filters, and methods for the processing of general complex signals (circular and noncircular). It brings together adaptive filtering algorithms for feedforward (transversal) and feedback architectures and the recent developments in the statistics of complex variable, under the powerful frameworks of CR (Wirtinger) calculus and augmented complex statistics. This offers a number of theoretical performance gains, which is illustrated on both stochastic gradient algorithms, such as the augmented complex least mean square (ACLMS), and those based on Kalman filters. This work is supported by a number of simulations using synthetic and real world data, including the noncircular and intermittent radar and wind signals.

Nonlinear Filtering

Nonlinear Filtering Book
Author : Jitendra R. Raol,Girija Gopalratnam,Bhekisipho Twala
Publisher : CRC Press
Release : 2017-07-12
ISBN : 1498745180
Language : En, Es, Fr & De

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Book Description :

Nonlinear Filtering covers linear and nonlinear filtering in a comprehensive manner, with appropriate theoretic and practical development. Aspects of modeling, estimation, recursive filtering, linear filtering, and nonlinear filtering are presented with appropriate and sufficient mathematics. A modeling-control-system approach is used when applicable, and detailed practical applications are presented to elucidate the analysis and filtering concepts. MATLAB routines are included, and examples from a wide range of engineering applications - including aerospace, automated manufacturing, robotics, and advanced control systems - are referenced throughout the text.

Binary Polynomial Transforms and Non Linear Digital Filters

Binary Polynomial Transforms and Non Linear Digital Filters Book
Author : S. Agaian,Jaakko Astola,Karen Egiazarian
Publisher : CRC Press
Release : 1995-04-27
ISBN : 9780824796426
Language : En, Es, Fr & De

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Book Description :

This work offers a unified presentation of the theory of binary polynomial transforms and details their numerous applications in nonlinear signal processing. The book also: introduces the Rademacher logical functions; considers fast algorithms for computing Rademacher and polynomial logical functions; focuses attention on general auto- and cross-correlation functions; and more.;The work is intended for applied mathematicians; electrical, electronics and other engineers; computer scientists; and upper-level undergraduate and graduate students in these disciplines.

Nonlinear Signal Processing

Nonlinear Signal Processing Book
Author : Gonzalo R. Arce
Publisher : John Wiley & Sons
Release : 2005-01-03
ISBN : 0471691844
Language : En, Es, Fr & De

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Book Description :

Nonlinear Signal Processing: A Statistical Approach focuses onunifying the study of a broad and important class of nonlinearsignal processing algorithms which emerge from statisticalestimation principles, and where the underlying signals arenon-Gaussian, rather than Gaussian, processes. Notably, byconcentrating on just two non-Gaussian models, a large set of toolsis developed that encompass a large portion of the nonlinear signalprocessing tools proposed in the literature over the past severaldecades. Key features include: * Numerous problems at the end of each chapter to aid developmentand understanding * Examples and case studies provided throughout the book in a widerange of applications bring the text to life and place the theoryinto context * A set of 60+ MATLAB software m-files allowing the reader toquickly design and apply any of the nonlinear signal processingalgorithms described in the book to an application of interest isavailable on the accompanying FTP site.

Nonlinear Digital Encoders for Data Communications

Nonlinear Digital Encoders for Data Communications Book
Author : Calin Vladeanu,Safwan El Assad
Publisher : John Wiley & Sons
Release : 2014-03-06
ISBN : 111881584X
Language : En, Es, Fr & De

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Book Description :

This book presents digital encoders for data communications. After an introduction on data communications and different sequences, the authors present the frey encoder as a digital filter followed by the trellis-coded and parallel turbo trellis-coded modulation schemes using nonlinear digital encoders. The book contains many numerical examples that complete the description of the analyzed schemes. Also, some performance simulation results are provided. Appendixes include demonstrations for the mathematical apparatus used throughout the book and some Matlab/Simulink source files used to run the simulations. Therefore, students can easily understand the concepts presented in the book and to simulate the schemes.

Digital Image Processing Methods

Digital Image Processing Methods Book
Author : Edward R. Dougherty
Publisher : CRC Press
Release : 2020-08-27
ISBN : 1000148866
Language : En, Es, Fr & De

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Book Description :

This unique reference presents in-depth coverage of the latest methods and applications of digital image processing describing various computer architectures ideal for satisfying specific image processing demands.

Passive Active and Digital Filters

Passive  Active  and Digital Filters Book
Author : Wai-Kai Chen
Publisher : CRC Press
Release : 2018-10-08
ISBN : 142005886X
Language : En, Es, Fr & De

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Book Description :

Upon its initial publication, The Circuits and Filters Handbook broke new ground. It quickly became the resource for comprehensive coverage of issues and practical information that can be put to immediate use. Not content to rest on his laurels, in addition to updating the second edition, editor Wai-Kai Chen divided it into tightly-focused texts that made the information easily accessible and digestible. These texts have been revised, updated, and expanded so that they continue to provide solid coverage of standard practices and enlightened perspectives on new and emerging techniques. Passive, Active, and Digital Filters provides an introduction to the characteristics of analog filters and a review of the design process and the tasks that need to be undertaken to translate a set of filter specifications into a working prototype. Highlights include discussions of the passive cascade synthesis and the synthesis of LCM and RC one-port networks; a summary of two-port synthesis by ladder development; a comparison of the cascade approach, the multiple-loop feedback topology, and ladder simulations; an examination of four types of finite wordlength effects; and coverage of methods for designing two-dimensional finite-extent impulse response (FIR) discrete-time filters. The book includes coverage of the basic building blocks involved in low- and high-order filters, limitations and practical design considerations, and a brief discussion of low-voltage circuit design. Revised Chapters: Sensitivity and Selectivity Switched-Capacitor Filters FIR Filters IIR Filters VLSI Implementation of Digital Filters Two-Dimensional FIR Filters Additional Chapters: 1-D Multirate Filter Banks Directional Filter Banks Nonlinear Filtering Using Statistical Signal Models Nonlinear Filtering for Image Denoising Video Demosaicking Filters This volume will undoubtedly take its place as the engineer's first choice in looking for solutions to problems encountered when designing filters.

The Scientist and Engineer s Guide to Digital Signal Processing

The Scientist and Engineer s Guide to Digital Signal Processing Book
Author : Steven W. Smith
Publisher : Unknown
Release : 1999
ISBN : 9780966017649
Language : En, Es, Fr & De

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Book Description :

Download The Scientist and Engineer s Guide to Digital Signal Processing book written by Steven W. Smith, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Nonlinear Filters

Nonlinear Filters Book
Author : Hisashi Tanizaki
Publisher : Springer Science & Business Media
Release : 2013-03-09
ISBN : 3662032236
Language : En, Es, Fr & De

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Book Description :

Nonlinear and nonnormal filters are introduced and developed. Traditional nonlinear filters such as the extended Kalman filter and the Gaussian sum filter give biased filtering estimates, and therefore several nonlinear and nonnormal filters have been derived from the underlying probability density functions. The density-based nonlinear filters introduced in this book utilize numerical integration, Monte-Carlo integration with importance sampling or rejection sampling and the obtained filtering estimates are asymptotically unbiased and efficient. By Monte-Carlo simulation studies, all the nonlinear filters are compared. Finally, as an empirical application, consumption functions based on the rational expectation model are estimated for the nonlinear filters, where US, UK and Japan economies are compared.

Signal Processing for Neuroscientists

Signal Processing for Neuroscientists Book
Author : Wim van Drongelen
Publisher : Elsevier
Release : 2006-12-18
ISBN : 9780080467757
Language : En, Es, Fr & De

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Book Description :

Signal Processing for Neuroscientists introduces analysis techniques primarily aimed at neuroscientists and biomedical engineering students with a reasonable but modest background in mathematics, physics, and computer programming. The focus of this text is on what can be considered the ‘golden trio’ in the signal processing field: averaging, Fourier analysis, and filtering. Techniques such as convolution, correlation, coherence, and wavelet analysis are considered in the context of time and frequency domain analysis. The whole spectrum of signal analysis is covered, ranging from data acquisition to data processing; and from the mathematical background of the analysis to the practical application of processing algorithms. Overall, the approach to the mathematics is informal with a focus on basic understanding of the methods and their interrelationships rather than detailed proofs or derivations. One of the principle goals is to provide the reader with the background required to understand the principles of commercially available analyses software, and to allow him/her to construct his/her own analysis tools in an environment such as MATLAB®. Multiple color illustrations are integrated in the text Includes an introduction to biomedical signals, noise characteristics, and recording techniques Basics and background for more advanced topics can be found in extensive notes and appendices A Companion Website hosts the MATLAB scripts and several data files: http://www.elsevierdirect.com/companion.jsp?ISBN=9780123708670

Digital Synthesis of Nonlinear Filters

Digital Synthesis of Nonlinear Filters Book
Author : Richard S. Bucy,Kenneth D. Senne,UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF AEROSPACE ENGINEERING.
Publisher : Unknown
Release : 1970
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The paper presents a technique for constructing the optimal nonlinear filter using a digital computer. The viewpoint differs fundamentally from almost all previous work in that the state of the nonlinear estimator, the conditional density of the signal given the observations, is represented as a set of point masses on a moving grid. Although the method leads to very accurate realizations of optimal nonlinear filters, there is an inherent drawback in that on exponential dependency of computation time upon dimension rapidly causes the proposed method to become computationally intentable as the dimension increases. This paper describes the methods in detail and indicate how they apply to a particular problem of a passive receiver design. For the particular problem, a Monte Carlo error analysis shows that the optimal filter achieves an order of magnitude mean-square error improvement over the extended Kalman-Bucy filter and at least two orders of magnitude improvement over the least squares filter. Finally a discussion of the implications of these studies on the design of digital machines for filtering purposes is presented. (Author).

DAFX

DAFX Book
Author : Udo Zölzer
Publisher : John Wiley & Sons
Release : 2011-03-16
ISBN : 0470979674
Language : En, Es, Fr & De

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Book Description :

The rapid development in various fields of Digital Audio Effects, or DAFX, has led to new algorithms and this second edition of the popular book, DAFX: Digital Audio Effects has been updated throughout to reflect progress in the field. It maintains a unique approach to DAFX with a lecture-style introduction into the basics of effect processing. Each effect description begins with the presentation of the physical and acoustical phenomena, an explanation of the signal processing techniques to achieve the effect, followed by a discussion of musical applications and the control of effect parameters. Topics covered include: filters and delays, modulators and demodulators, nonlinear processing, spatial effects, time-segment processing, time-frequency processing, source-filter processing, spectral processing, time and frequency warping musical signals. Updates to the second edition include: Three completely new chapters devoted to the major research areas of: Virtual Analog Effects, Automatic Mixing and Sound Source Separation, authored by leading researchers in the field . Improved presentation of the basic concepts and explanation of the related technology. Extended coverage of the MATLABTM scripts which demonstrate the implementation of the basic concepts into software programs. Companion website (www.dafx.de) which serves as the download source for MATLABTM scripts, will be updated to reflect the new material in the book. Discussing DAFX from both an introductory and advanced level, the book systematically introduces the reader to digital signal processing concepts, how they can be applied to sound and their use in musical effects. This makes the book suitable for a range of professionals including those working in audio engineering, as well as researchers and engineers involved in the area of digital signal processing along with students on multimedia related courses.

Digital Filters Using MATLAB

Digital Filters Using MATLAB Book
Author : Lars Wanhammar,Tapio Saramäki
Publisher : Springer Nature
Release : 2020-02-18
ISBN : 3030240630
Language : En, Es, Fr & De

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Book Description :

This textbook provides comprehensive coverage for courses in the basics of design and implementation of digital filters. The book assumes only basic knowledge in digital signal processing and covers state-of-the-art methods for digital filter design and provides a simple route for the readers to design their own filters. The advanced mathematics that is required for the filter design is minimized by providing an extensive MATLAB toolbox with over 300 files. The book presents over 200 design examples with MATLAB code and over 300 problems to be solved by the reader. The students can design and modify the code for their use. The book and the design examples cover almost all known design methods of frequency-selective digital filters as well as some of the authors’ own, unique techniques.

Nonlinear Filters for Image Processing

Nonlinear Filters for Image Processing Book
Author : Edward R. Dougherty
Publisher : SPIE Press
Release : 1999-06-25
ISBN : 9780780353855
Language : En, Es, Fr & De

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Book Description :

"This text covers key mathematical principles and algorithms for nonlinear filters used in image processing. Readers will gain an in-depth understanding of the underlying mathematical and filter design methodologies needed to construct and use nonlinear filters in a variety of applications. The 11 chapters explore topics of contemporary interest as well as fundamentals drawn from nonlinear filtering's historical roots in mathematical morphology and digital signal processing. This book examines various filter options and the types of applications for which they are best suited. The presentation is rigorous, yet accessible to engineers with a solid background in mathematics."