# Nonlinear Digital Filters

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## Nonlinear Digital Filters

Author | : Ioannis Pitas,Anastasios N. Venetsanopoulos |

Publsiher | : Springer Science & Business Media |

Total Pages | : 392 |

Release | : 2013-03-14 |

ISBN | : 1475760175 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Digital Filters Book Excerpt:**

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 Filters

Author | : W. K. Ling |

Publsiher | : Academic Press |

Total Pages | : 216 |

Release | : 2010-07-27 |

ISBN | : 9780080550015 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Digital Filters Book Excerpt:**

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

Author | : Ioannis Pitas,Anastasios N. Venetsanopoulos |

Publsiher | : Springer Science & Business Media |

Total Pages | : 412 |

Release | : 1990-01-31 |

ISBN | : 0792390490 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Digital Filters Book Excerpt:**

To date, no unifying theory has been developed which encompasses nonlinear filters in the same theoretical framework. This book takes strides in that direction by organizing nonlinear filter classes in a concise way and stretching their common properties. Annotation copyrighted by Book News, Inc., Portland, OR

## Binary Polynomial Transforms and Non Linear Digital Filters

Author | : S. Agaian,Jaakko Astola,Karen Egiazarian |

Publsiher | : CRC Press |

Total Pages | : 332 |

Release | : 1995-04-27 |

ISBN | : 9780824796426 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Binary Polynomial Transforms and Non Linear Digital Filters Book Excerpt:**

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 Digital Encoders for Data Communications

Author | : Calin Vladeanu,Safwan El Assad |

Publsiher | : John Wiley & Sons |

Total Pages | : 151 |

Release | : 2014-03-06 |

ISBN | : 111881584X |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Digital Encoders for Data Communications Book Excerpt:**

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.

## Nonlinear Digital Filtering with Python

Author | : Ronald K. Pearson,Moncef Gabbouj |

Publsiher | : CRC Press |

Total Pages | : 286 |

Release | : 2018-09-03 |

ISBN | : 1498714137 |

Category | : Medical |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Digital Filtering with Python Book Excerpt:**

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

Author | : Julius Orion Smith |

Publsiher | : Julius Smith |

Total Pages | : 481 |

Release | : 2007 |

ISBN | : 0974560715 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Introduction to Digital Filters 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.

## Digital Image Processing Algorithms and Applications

Author | : Ioannis Pitas |

Publsiher | : John Wiley & Sons |

Total Pages | : 436 |

Release | : 2000-02-22 |

ISBN | : 9780471377399 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Digital Image Processing Algorithms and Applications Book Excerpt:**

A unique collection of algorithms and lab experiments for practitioners and researchers of digital image processing technology With the field of digital image processing rapidly expanding, there is a growing need for a book that would go beyond theory and techniques to address the underlying algorithms. Digital Image Processing Algorithms and Applications fills the gap in the field, providing scientists and engineers with a complete library of algorithms for digital image processing, coding, and analysis. Digital image transform algorithms, edge detection algorithms, and image segmentation algorithms are carefully gleaned from the literature for compatibility and a track record of acceptance in the scientific community. The author guides readers through all facets of the technology, supplementing the discussion with detailed lab exercises in EIKONA, his own digital image processing software, as well as useful PDF transparencies. He covers in depth filtering and enhancement, transforms, compression, edge detection, region segmentation, and shape analysis, explaining at every step the relevant theory, algorithm structure, and its use for problem solving in various applications. The availability of the lab exercises and the source code (all algorithms are presented in C-code) over the Internet makes the book an invaluable self-study guide. It also lets interested readers develop digital image processing applications on ordinary desktop computers as well as on Unix machines.

## Fundamentals of Nonlinear Digital Filtering

Author | : Jaakko Astola,Pauli Kuosmanen |

Publsiher | : CRC Press |

Total Pages | : 214 |

Release | : 2020-09-10 |

ISBN | : 100014111X |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Fundamentals of Nonlinear Digital Filtering Book Excerpt:**

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.

## Digital Filters Using MATLAB

Author | : Lars Wanhammar,Tapio Saramäki |

Publsiher | : Springer Nature |

Total Pages | : 798 |

Release | : 2020-02-18 |

ISBN | : 3030240630 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Digital Filters Using MATLAB Book Excerpt:**

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 Digital Filtering with Python

Author | : Ronald K. Pearson,Moncef Gabbouj |

Publsiher | : CRC Press |

Total Pages | : 328 |

Release | : 2015-08-25 |

ISBN | : 9781498714112 |

Category | : Medical |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Digital Filtering with Python Book Excerpt:**

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.

## Proceedings of the IEEE Workshop on Nonlinear Dynamics of Electronic Systems

Author | : Gianluca Setti,Riccardo Rovatti,Gianluca Mazzini |

Publsiher | : World Scientific |

Total Pages | : 312 |

Release | : 2000 |

ISBN | : 9789810243418 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Proceedings of the IEEE Workshop on Nonlinear Dynamics of Electronic Systems Book Excerpt:**

This volume collects together state-of-the-art contributions to the IEEE workshop on Nonlinear Dynamics of Electronic Systems.

## Nonlinear Dynamics of Electronic Systems

Author | : Gianluca Setti,Gianluca Mazzini,Riccardo Rovatti |

Publsiher | : World Scientific |

Total Pages | : 308 |

Release | : 2000-05-08 |

ISBN | : 9814492868 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Dynamics of Electronic Systems Book Excerpt:**

This volume collects together state-of-the-art contributions to the IEEE workshop on Nonlinear Dynamics of Electronic Systems. Contents:Applications of Chaotic Signal Processing Techniques to Multimedia Watermarking (N Nikolaidis et al.)Return Times and Mixing Properties (S Isola)Some Applications of Nonlinear Methods to Analysis and Design of Analog Circuits (M Ogorzalek)The Formulation of the Fundamental Matrix of a Second-Order Filter with Syllabic Companding Using Dynamic Eigenpairs (M de Anda et al.)Rake-Receivers for Chaos-Based Asynchronous DS-CDMA (G Mazzini et al.)Traffic Modeling and Queueing Performance Analysis Using Chaotic Maps (R J Mondragón et al.)Performance of CSMA Systems with Hidden Terminals and Capture Effects for Poisson and Self-Similar Traffics (M K Shahin et al.)Investigation of Spatio-Temporal Phenomena on Chaotic Oscillators Using Wien-Bridge Oscillator Coupled by One Resistor for Comparison with GCM (H Sekiya et al.)Chaotic Dynamics of Frequency Controlled Oscillator (A S Kuznetsov)Generic RC Realizations of Chua's Circuit (A S Elwakil & M P Kennedy)Kalman Filtering of Strange Attractors (O De Feo & T Schimming)Elaboration of System Specification for a WLAN FM-DCSK Telecommunications System (M P Kennedy & G Kis)Study of Existence of True Trajectories in the Dynamics of a Driven Circuit (S Mitrea)Suppression of Spatio-Temporal Chaos in Excitable Media (G V Osipov)Flash A/D Conversion Based on Wave Propagation: Parameter's Effect on Performance (K Doris et al.)Efficient Coding and Control in Canonical Neocortical Microcircuits (R Stoop)and other papers Readership: Researchers in nonlinear science, chaos, dynamical systems, control theory, electrical & electronic engineering and systems engineering. Keywords:

## Chaos and Complexity in Nonlinear Electronic Circuits

Author | : Maciej J. Ogorza?ek |

Publsiher | : World Scientific |

Total Pages | : 320 |

Release | : 1997 |

ISBN | : 9789810228736 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Chaos and Complexity in Nonlinear Electronic Circuits Book Excerpt:**

The basic procedures for designing and analysing electronic systems are based largely on the assumptions of linear behavior of the system. Nonlinearities inherent in all real applications very often cause unexpected and even strange behavior. This book presents an electronic engineer's perspective on chaos and complex behavior. It starts from basic mathematical notions which enable understanding of the observed phenomena, and guides the reader through the methodology and tools used in the laboratory and numerical experiments to interpretation and explanation of basic mechanisms. On typical circuit examples, it shows how the theoretical and empirical developments can be used in practice. Attention is drawn to applications of chaotic circuits as noise generators and the possible use of synchronized chaotic systems in information transmission and encryption. Chaos control is considered as a new, emerging area where electronic equipment and chaos theory could turn vital in biomedical and engineering issues.

## Complex Valued Nonlinear Adaptive Filters

Author | : Danilo P. Mandic,Vanessa Su Lee Goh |

Publsiher | : John Wiley & Sons |

Total Pages | : 344 |

Release | : 2009-04-20 |

ISBN | : 0470742631 |

Category | : Science |

Language | : EN, FR, DE, ES & NL |

**Complex Valued Nonlinear Adaptive Filters Book Excerpt:**

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.

## Fuzzy Techniques in Image Processing

Author | : Etienne E. Kerre,Mike Nachtegael |

Publsiher | : Physica |

Total Pages | : 413 |

Release | : 2013-03-19 |

ISBN | : 379081847X |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Fuzzy Techniques in Image Processing Book Excerpt:**

Since time immemorial, vision in general and images in particular have played an important and essential role in human life. Nowadays, the field of image processing also has numerous scientific, commercial, industrial and military applications. All these applications result from the interaction between fun damental scientific research on the one hand, and the development of new and high-standard technology on the other hand. Regarding the scientific com ponent, quite recently the scientific community became familiar with "fuzzy techniques" in image processing, which make use of the framework of fuzzy sets and related theories. The theory of fuzzy sets was initiated in 1965 by Zadeh, and is one of the most developed models to treat imprecision and uncertainty. Instead of the classical approach that an object belongs or does not belong to a set, the concept of a fuzzy set allows a gradual transition from membership to nonmembership, providing partial degrees of member ship. Fuzzy techniques are often complementary to existing techniques and can contribute to the development of better and more robust methods, as has already been illustrated in numerous scientific branches. With this vol ume, we want to demonstrate that the introduction and application of fuzzy techniques can also be very successful in the area of image processing. This book contains high-quality contributions of over 30 field experts, covering a wide range of both theoretical and practical applications of fuzzy techniques in image processing.

## Nonlinear Signal and Image Processing

Author | : Kenneth E. Barner,Gonzalo R. Arce |

Publsiher | : CRC Press |

Total Pages | : 560 |

Release | : 2003-11-24 |

ISBN | : 0203010418 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Signal and Image Processing Book Excerpt:**

Nonlinear signal and image processing methods are fast emerging as an alternative to established linear methods for meeting the challenges of increasingly sophisticated applications. Advances in computing performance and nonlinear theory are making nonlinear techniques not only viable, but practical. This book details recent advances in nonl

## Handbook of Formulas and Tables for Signal Processing

Author | : Alexander D. Poularikas |

Publsiher | : Springer Science & Business Media |

Total Pages | : 864 |

Release | : 1998-10-01 |

ISBN | : 9783540648345 |

Category | : Technology & Engineering |

Language | : EN, FR, DE, ES & NL |

**Handbook of Formulas and Tables for Signal Processing Book Excerpt:**

This book serves as an essential reference for all engineers involved in signal and image processing. It examines the theories and applications of signal processing in filtering, coding, transmitting, estimating, detecting, analysing, recognising, and reproducing signals.

## Nonlinear Digital Filtering with Python

Author | : Ronald Pearson,Moncef Gabbouj |

Publsiher | : Unknown |

Total Pages | : 0 |

Release | : 2018 |

ISBN | : 1928374650XXX |

Category | : Digital filters (Mathematics) |

Language | : EN, FR, DE, ES & NL |

**Nonlinear Digital Filtering with Python Book Excerpt:**

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.

## Computer Aided Systems Theory EUROCAST 2009

Author | : Roberto Moreno Díaz,Franz Pichler,Alexis Quesada Arencibia |

Publsiher | : Springer |

Total Pages | : 950 |

Release | : 2009-09-30 |

ISBN | : 3642047726 |

Category | : Computers |

Language | : EN, FR, DE, ES & NL |

**Computer Aided Systems Theory EUROCAST 2009 Book Excerpt:**

The concept of CAST as Computer Aided Systems Theory was introduced by F. Pichler in the late 1980s to refer to computer theoretical and practical developments as tools for solving problems in system science. It was thought of as the third component (the other two being CAD and CAM) required to complete the path from computer and systems sciences to practical developments in science and engineering. Franz Pichler, of the University of Linz, organized the first CAST workshop in April 1988, which demonstrated the acceptance of the concepts by the scientific and technical community. Next, the University of Las Palmas de Gran Canaria joined the University of Linz to organize the first international meeting on CAST (Las Palmas, February 1989) under the name EUROCAST'89. This proved to be a very successful gathering of systems theorists, computer scientists and engineers from most European countries, North America and Japan. It was agreed that EUROCAST international conferences would be organized every two years, alternating between Las Palmas de Gran Canaria and a continental European location. From 2001 the conference has been held exclusively in Las Palmas. Thus, successive EUROCAST meetings took place in Krems (1991), Las Palmas (1993), In- bruck (1995), Las Palmas (1997), Vienna (1999), Las Palmas (2001), Las Palmas (2003) Las Palmas (2005) and Las Palmas (2007), in addition to an extra-European CAST c- ference in Ottawa in 1994.