Radomir S. Stankovi's Books

Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook

By: Svetlana N. Yanushkevich,D. Michael Miller,Vlad P. Shmerko,Radomir S. Stankovic

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Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook

By: Svetlana N. Yanushkevich,D. Michael Miller,Vlad P. Shmerko,Radomir S. Stankovic

Decision diagram (DD) techniques are very popular in the electronic design automation (EDA) of integrated circuits, and for good reason. They can accurately simulate logic design, can show where to make reductions in complexity, and can be easily modified to model different scenarios. Presenting DD techniques from an applied perspective, Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook provides a comprehensive, up-to-date collection of DD techniques. Experts with more than forty years of combined experience in both industrial and academic settings demonstrate how to apply the techniques to full advantage with more than 400 examples and illustrations. Beginning with the fundamental theory, data structures, and logic underlying DD techniques, they explore a breadth of topics from arithmetic and word-level representations to spectral techniques and event-driven analysis. The book also includes abundant references to more detailed information and additional applications. Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook collects the theory, methods, and practical knowledge necessary to design more advanced circuits and places it at your fingertips in a single, concise reference.

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Page Count

952

Publisher

CRC Press

Published Date

ISBN 10

1420037587

ISBN 13

9781420037586

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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Page Count

154

Publisher

Springer Nature

Published Date

ISBN 10

303179852X

ISBN 13

9783031798528

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

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations

A Monograph Based on Articles of the Founding Authors, Reproduced in Full

By: Radomir Stankovic,Paul Leo Butzer,Ferenc Schipp,William R. Wade,Weiyi Su,Yasushi Endow,Sandor Fridli,Boris I. Golubov,Franz Pichler

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Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations

A Monograph Based on Articles of the Founding Authors, Reproduced in Full

By: Radomir Stankovic,Paul Leo Butzer,Ferenc Schipp,William R. Wade,Weiyi Su,Yasushi Endow,Sandor Fridli,Boris I. Golubov,Franz Pichler

The second volume of the two volumes book is dedicated to various extensions and generalizations of Dyadic (Walsh) analysis and related applications. Considered are dyadic derivatives on Vilenkin groups and various other Abelian and finite non-Abelian groups. Since some important results were developed in former Soviet Union and China, we provide overviews of former work in these countries. Further, we present translations of three papers that were initially published in Chinese. The presentation continues with chapters written by experts in the area presenting discussions of applications of these results in specific tasks in the area of signal processing and system theory. Efficient computing of related differential operators on contemporary hardware, including graphics processing units, is also considered, which makes the methods and techniques of dyadic analysis and generalizations computationally feasible. The volume 2 of the book ends with a chapter presenting open problems pointed out by several experts in the area.

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Page Count

370

Publisher

Springer

Published Date

ISBN 10

9462391637

ISBN 13

9789462391635

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

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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Page Count

352

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387303111

ISBN 13

9780387303116

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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Page Count

212

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642116817

ISBN 13

9783642116810

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations

A Monograph Based on Articles of the Founding Authors, Reproduced in Full

By: Radomir Stankovic,Paul Leo Butzer,Ferenc Schipp,William R. Wade,Weiyi Su,Yasushi Endow,Sandor Fridli,Boris I. Golubov,Franz Pichler

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Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations

A Monograph Based on Articles of the Founding Authors, Reproduced in Full

By: Radomir Stankovic,Paul Leo Butzer,Ferenc Schipp,William R. Wade,Weiyi Su,Yasushi Endow,Sandor Fridli,Boris I. Golubov,Franz Pichler

Dyadic (Walsh) analysis emerged as a new research area in applied mathematics and engineering in early seventies within attempts to provide answers to demands from practice related to application of spectral analysis of different classes of signals, including audio, video, sonar, and radar signals. In the meantime, it evolved in a mature mathematical discipline with fundamental results and important features providing basis for various applications. The book will provide fundamentals of the area through reprinting carefully selected earlier publications followed by overview of recent results concerning particular subjects in the area written by experts, most of them being founders of the field, and some of their followers. In this way, this first volume of the two volume book offers a rather complete coverage of the development of dyadic Walsh analysis, and provides a deep insight into its mathematical foundations necessary for consideration of generalizations and applications that are the subject of the second volume. The presented theory is quite sufficient to be a basis for further research in the subject area as well as to be applied in solving certain new problems or improving existing solutions for tasks in the areas which motivated development of the dyadic analysis.

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Page Count

474

Publisher

Springer

Published Date

ISBN 10

9462391602

ISBN 13

9789462391604

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

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-Abelian groups The majority of publications in spectral techniques consider Fourier transform on Abelian groups. However, non-Abelian groups provide notable advantages in efficient implementations of spectral methods. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis on finite non-Abelian groups and discusses different methods used to determine compact representations for discrete functions providing for their efficient realizations and related applications. Switching functions are included as an example of discrete functions in engineering practice. Additionally, consideration is given to the polynomial expressions and decision diagrams defined in terms of Fourier transform on finite non-Abelian groups. A solid foundation of this complex topic is provided by beginning with a review of signals and their mathematical models and Fourier analysis. Next, the book examines recent achievements and 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 of abstract harmonic analysis on finite non-Abelian groups in compact representations of discrete functions and related tasks in signal processing and system design, including logic design. All chapters are self-contained, each with a list of references to facilitate the development of specialized courses or self-study. With nearly 100 illustrative figures and fifty tables, this is an excellent textbook for graduate-level students and researchers in signal processing, logic design, and system theory-as well as the more general topics of computer science and applied mathematics.

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Page Count

264

Publisher

Wiley-IEEE Press

Published Date

ISBN 10

0471694630

ISBN 13

9780471694632

Book's by Radomir S. Stankovi

Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook

Decision Diagram Techniques for Micro- and Nanoelectronic Design Handbook

Representations of Multiple-Valued Logic Functions

Representations of Multiple-Valued Logic Functions

Spectral Logic and Its Applications for the Design of Digital Devices

Spectral Logic and Its Applications for the Design of Digital Devices

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 2 Extensions and Generalizations

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

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

Fundamentals of Switching Theory and Logic Design

Fundamentals of Switching Theory and Logic Design

From Boolean Logic to Switching Circuits and Automata

From Boolean Logic to Switching Circuits and Automata

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations

Dyadic Walsh Analysis from 1924 Onwards Walsh-Gibbs-Butzer Dyadic Differentiation in Science Volume 1 Foundations

Representation of Multiple-valued Logic Functions

Representation of Multiple-valued Logic Functions

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

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

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