Jaakko Astola's Books

Fundamentals of Switching Theory and Logic Design

A Hands on Approach

By: Jaakko Astola,Radomir S. Stankovic

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Fundamentals of Switching Theory and Logic Design

A Hands on Approach

By: Jaakko Astola,Radomir S. Stankovic

Fundamentals of Switching Theory and Logic Design discusses the basics of switching theory and logic design from a slightly alternative point of view and also presents links between switching theory and related areas of signal processing and system theory. Switching theory is a branch of applied mathematic providing mathematical foundations for logic design, which can be considered as a part of digital system design concerning realizations of systems whose inputs and outputs are described by logic functions.

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352

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Springer Science & Business Media

Published Date

ISBN 10

0387285938

ISBN 13

9780387285931

From Boolean Logic to Switching Circuits and Automata

Towards Modern Information Technology

By: Radomir S. Stankovic,Jaakko Astola

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From Boolean Logic to Switching Circuits and Automata

Towards Modern Information Technology

By: Radomir S. Stankovic,Jaakko Astola

Logic networks and automata are facets of digital systems. The change of the design of logic networks from skills and art into a scientific discipline was possible by the development of the underlying mathematical theory called the Switching Theory. The fundamentals of this theory come from the attempts towards an algebraic description of laws of thoughts presented in the works by George J. Boole and the works on logic by Augustus De Morgan. As often the case in engineering, when the importance of a problem and the need for solving it reach certain limits, the solutions are searched by many scholars in different parts of the word, simultaneously or at about the same time, however, quite independently and often unaware of the work by other scholars. The formulation and rise of Switching Theory is such an example. This book presents a brief account of the developments of Switching Theory and highlights some less known facts in the history of it. The readers will find the book a fresh look into the development of the field revealing how difficult it has been to arrive at many of the concepts that we now consider obvious . Researchers in the history or philosophy of computing will find this book a valuable source of information that complements the standard presentations of the topic.

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212

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Springer Science & Business Media

Published Date

ISBN 10

3642116817

ISBN 13

9783642116810

Representations of Multiple-Valued Logic Functions

By: Radomir S. Stankovic,Jaakko Astola,Claudio Moraga

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Representations of Multiple-Valued Logic Functions

By: Radomir S. Stankovic,Jaakko Astola,Claudio Moraga

Compared to binary switching functions, the multiple-valued functions (MV) offer more compact representations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practice feasible. Representation of Multiple-Valued Logic Functions is aimed at providing an accessible introduction to these mathematical techniques that are necessary for application of related implementation methods and tools. This book presents in a uniform way different representations of multiple-valued logic functions, including functional expressions, spectral representations on finite Abelian groups, and their graphical counterparts (various related decision diagrams). Three-valued, or ternary functions, are traditionally used as the first extension from the binary case. They have a good feature that the ratio between the number of bits and the number of different values that can be encoded with the specified number of bits is favourable for ternary functions. Four-valued functions, also called quaternary functions, are particularly attractive, since in practical realization within today prevalent binary circuits environment, they may be easy coded by binary values and realized with two-stable state circuits. At the same time, there is much more considerable advent in design of four-valued logic circuits than for other $p$-valued functions. Therefore, this book is written using a hands-on approach such that after introducing the general and necessarily abstract background theory, the presentation is based on a large number of examples for ternary and quaternary functions that should provide an intuitive understanding of various representation methods and the interconnections among them. Table of Contents: Multiple-Valued Logic Functions / Functional Expressions for Multiple-Valued Functions / Spectral Representations of Multiple-Valued Functions / Decision Diagrams for Multiple-Valued Functions / Fast Calculation Algorithms

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154

Publisher

Springer Nature

Published Date

ISBN 10

303179852X

ISBN 13

9783031798528

Fundamentals of Nonlinear Digital Filtering

By: Jaakko Astola,Pauli Kuosmanen

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Fundamentals of Nonlinear Digital Filtering

By: Jaakko Astola,Pauli Kuosmanen

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.

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292

Publisher

CRC Press

Published Date

ISBN 10

0849325706

ISBN 13

9780849325700

Spectral Interpretation of Decision Diagrams

By: Radomir Stankovic,Jaakko T. Astola

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Spectral Interpretation of Decision Diagrams

By: Radomir Stankovic,Jaakko T. Astola

Decision diagrams (DDs) are data structures for efficient (time/space) representations of large discrete functions. In addition to their wide application in engineering practice, DDs are now a standard part of many CAD systems for logic design and a basis for severe signal processing algorithms. "Spectral Interpretation of Decision Diagrams" derives from attempts to classify and uniformly interpret DDs through spectral interpretation methods, relating them to different Fourier-series-like functional expressions for discrete functions and a group-theoretic approach to DD optimization. The book examines DDs found in literature and engineering practice and provides insights into relationships between DDs and different polynomial or spectral expressions for representation of discrete functions. In addition, it offers guidelines and criteria for selection of the most suitable representation in terms of space and time complexity. The work complements theory with numerous illustrative examples from practice. Moreover, the importance of DD representations to the verification and testing of arithmetic circuits is addressed, as well as problems related to various signal processing tasks.

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297

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387955453

ISBN 13

9780387955452

Spectral Logic and Its Applications for the Design of Digital Devices

By: Mark G. Karpovsky,Radomir S. Stankovic,Jaakko T. Astola

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Spectral Logic and Its Applications for the Design of Digital Devices

By: Mark G. Karpovsky,Radomir S. Stankovic,Jaakko T. Astola

Spectral techniques facilitate the design and testing of today's increasingly complex digital devices There is heightened interest in spectral techniques for the design of digital devices dictated by ever increasing demands on technology that often cannot be met by classical approaches. Spectral methods provide a uniform and consistent theoretic environment for recent achievements in this area, which appear divergent in many other approaches. Spectral Logic and Its Applications for the Design of Digital Devices gives readers a foundation for further exploration of abstract harmonic analysis over finite groups in the analysis, design, and testing of digital devices. After an introduction, this book provides the essential mathematical background for discussing spectral methods. It then delves into spectral logic and its applications, covering: * Walsh, Haar, arithmetic transform, Reed-Muller transform for binary-valued functions and Vilenkin-Chrestenson transform, generalized Haar, and other related transforms for multiple-valued functions * Polynomial expressions and decision diagram representations for switching and multiple-value functions * Spectral analysis of Boolean functions * Spectral synthesis and optimization of combinational and sequential devices * Spectral methods in analysis and synthesis of reliable devices * Spectral techniques for testing computer hardware This is the authoritative reference for computer science and engineering professionals and researchers with an interest in spectral methods of representing discrete functions and related applications in the design and testing of digital devices. It is also an excellent text for graduate students in courses covering spectral logic and its applications.

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Page Count

642

Publisher

John Wiley & Sons

Published Date

ISBN 10

047028921X

ISBN 13

9780470289211

Representations of Multiple-Valued Logic Functions

By: Radomir S. Stankovic,Jaakko Astola,Claudio Moraga

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Representations of Multiple-Valued Logic Functions

By: Radomir S. Stankovic,Jaakko Astola,Claudio Moraga

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154

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Springer Nature

Published Date

ISBN 10

303179852X

ISBN 13

9783031798528

Fundamentals of Nonlinear Digital Filtering

By: Jaakko Astola,Pauli Kuosmanen

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Fundamentals of Nonlinear Digital Filtering

By: Jaakko Astola,Pauli Kuosmanen

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292

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CRC Press

Published Date

ISBN 10

100014111X

ISBN 13

9781000141115

An Introduction to Nonlinear Image Processing

By: Edward R. Dougherty,Jaakko Astola

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An Introduction to Nonlinear Image Processing

By: Edward R. Dougherty,Jaakko Astola

From a strict semantic point of view, nonlinear image processing encompasses all image processing that is not based on linear operators; however, from a practical, evolutionary point of view, the name itself is usually associated with the study of nonlinear filters, mainly the deterministic and nondeterministic analysis and design of logic-based operators. This Tutorial Text volume explores logic-based operators with emphasis on representation, design, and statistical optimization of nonlinear filters.

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Page Count

200

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SPIE Press

Published Date

ISBN 10

081941560X

ISBN 13

9780819415608

Compression-Based Methods of Statistical Analysis and Prediction of Time Series

By: Boris Ryabko,Jaakko Astola,Mikhail Malyutov

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Compression-Based Methods of Statistical Analysis and Prediction of Time Series

By: Boris Ryabko,Jaakko Astola,Mikhail Malyutov

Universal codes efficiently compress sequences generated by stationary and ergodic sources with unknown statistics, and they were originally designed for lossless data compression. In the meantime, it was realized that they can be used for solving important problems of prediction and statistical analysis of time series, and this book describes recent results in this area. The first chapter introduces and describes the application of universal codes to prediction and the statistical analysis of time series; the second chapter describes applications of selected statistical methods to cryptography, including attacks on block ciphers; and the third chapter describes a homogeneity test used to determine authorship of literary texts. The book will be useful for researchers and advanced students in information theory, mathematical statistics, time-series analysis, and cryptography. It is assumed that the reader has some grounding in statistics and in information theory.

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153

Publisher

Springer

Published Date

ISBN 10

3319322532

ISBN 13

9783319322537

Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

By: Radomir S. Stankovic,Claudio Moraga,Jaakko Astola

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Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

By: Radomir S. Stankovic,Claudio Moraga,Jaakko Astola

Discover applications of Fourier analysis on finite non-Abeliangroups The majority of publications in spectral techniques considerFourier transform on Abelian groups. However, non-Abelian groupsprovide notable advantages in efficient implementations of spectralmethods. Fourier Analysis on Finite Groups with Applications in SignalProcessing and System Design examines aspects of Fourieranalysis on finite non-Abelian groups and discusses differentmethods used to determine compact representations for discretefunctions providing for their efficient realizations and relatedapplications. Switching functions are included as an example ofdiscrete functions in engineering practice. Additionally,consideration is given to the polynomial expressions and decisiondiagrams defined in terms of Fourier transform on finitenon-Abelian groups. A solid foundation of this complex topic is provided bybeginning with a review of signals and their mathematical modelsand Fourier analysis. Next, the book examines recent achievementsand discoveries in: Matrix interpretation of the fast Fourier transform Optimization of decision diagrams Functional expressions on quaternion groups Gibbs derivatives on finite groups Linear systems on finite non-Abelian groups Hilbert transform on finite groups Among the highlights is an in-depth coverage of applications ofabstract harmonic analysis on finite non-Abelian groups in compactrepresentations of discrete functions and related tasks in signalprocessing and system design, including logic design. All chaptersare self-contained, each with a list of references to facilitatethe development of specialized courses or self-study. With nearly 100 illustrative figures and fifty tables, this isan excellent textbook for graduate-level students and researchersin signal processing, logic design, and system theory-as well asthe more general topics of computer science and appliedmathematics.

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Page Count

230

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471745421

ISBN 13

9780471745426

Microarray Quality Control

By: Wei Zhang,Ilya Shmulevich,Jaakko Astola

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Microarray Quality Control

By: Wei Zhang,Ilya Shmulevich,Jaakko Astola

Microarray technology provides researchers in the life sciences with a revolutionary tool for measuring gene expression. However, this highly developed process involves multiple steps, from sample selection to data analysis, each susceptible to potentially costly errors. Without sound quality control, experimental microarrays may produce useless or, even worse, misleading results. Microarray Quality Control provides a comprehensive resource for ensuring quality control in every step of this complex process. From experimental design to data processing, analysis, and interpretation, the emphasis in this text remains on practical advice for each stage of planning and running a microarray study. Chapters cover: * Quality of biological samples * Quality of DNA * Hybridization protocols Scanning * Data acquisition * Image analysis * Data analysis Written for the broad group of workers-biologists, mathematicians, statisticians, engineers, physicians, and computational scientists-involved in microarray studies, Microarray Quality Control features a straightforward style easily accessed by various disciplines. Useful checklists and tips help ensure the integrity of results, and each chapter contains a thorough review of pertinent literature. The only complete, systematic treatment of the topic available, Microarray Quality Control offers students and practitioners an invaluable resource for improving experimental quality and efficiency.

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158

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471726249

ISBN 13

9780471726241

Binary Polynomial Transforms and Non-Linear Digital Filters

By: S. Agaian,Jaakko Astola,Karen Egiazarian

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Binary Polynomial Transforms and Non-Linear Digital Filters

By: S. Agaian,Jaakko Astola,Karen Egiazarian

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.

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Page Count

332

Publisher

CRC Press

Published Date

ISBN 10

082479642X

ISBN 13

9780824796426

Fundamentals of Switching Theory and Logic Design

A Hands on Approach

By: Jaakko Astola,Radomir S. Stankovic

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Fundamentals of Switching Theory and Logic Design

A Hands on Approach

By: Jaakko Astola,Radomir S. Stankovic

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352

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Springer Science & Business Media

Published Date

ISBN 10

0387285938

ISBN 13

9780387285931

Representation of Multiple-valued Logic Functions

By: Radomir S. Stanković,Jaakko Astola,Claudio Moraga

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Representation of Multiple-valued Logic Functions

By: Radomir S. Stanković,Jaakko Astola,Claudio Moraga

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Page Count

171

Publisher

Morgan & Claypool Publishers

Published Date

ISBN 10

160845942X

ISBN 13

9781608459421

Mathematics of Data/image Pattern Coding, Compression, and Encryption with Applications XIII

21 and 24 August 2011, San Diego, California, United States

By: Mark S. Schmalz,Gerhard Ritter,Junior Barrera,Jaakko Astola

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Mathematics of Data/image Pattern Coding, Compression, and Encryption with Applications XIII

21 and 24 August 2011, San Diego, California, United States

By: Mark S. Schmalz,Gerhard Ritter,Junior Barrera,Jaakko Astola

Includes Proceedings Vol. 7821

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Page Count

202

Published Date

ISBN 10

0819487465

ISBN 13

9780819487469

From Boolean Logic to Switching Circuits and Automata

Towards Modern Information Technology

By: Radomir S. Stankovic,Jaakko Astola

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From Boolean Logic to Switching Circuits and Automata

Towards Modern Information Technology

By: Radomir S. Stankovic,Jaakko Astola

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Page Count

212

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642116817

ISBN 13

9783642116810

Image Processing

Algorithms and Systems IX : 24-25 January 2011, San Jose, California, United States

By: Jaakko Astola,Karen Egiazarian

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Image Processing

Algorithms and Systems IX : 24-25 January 2011, San Jose, California, United States

By: Jaakko Astola,Karen Egiazarian

Includes Proceedings Vol. 7821

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Page Count

414

Publisher

SPIE-International Society for Optical Engineering

Published Date

ISBN 10

0819484075

ISBN 13

9780819484079

Nonlinear Filters for Image Processing

By: Edward R. Dougherty,Jaakko Astola

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Nonlinear Filters for Image Processing

By: Edward R. Dougherty,Jaakko Astola

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.

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Page Count

480

Publisher

SPIE Press

Published Date

ISBN 10

0780353854

ISBN 13

9780780353855

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