Switching theory and logic design provide mathematical foundations and tools for digital system design that is an essential part in the research and development in almost all areas of modern technology. The vast complexity of modern digital systems implies that they can only be handled by computer aided design tools that are built on sophisticated mathematical models. Fundamentals of Switching Theory and Logic Design is aimed at providing an accessible introduction to these mathematical techniques that underlie the design tools and that are necessary for understanding their capabilities and limitations. As is typical to many disciplines a high level of abstraction enables a unified treatment of many methodologies and techniques as well as provides a deep understanding of the subject in general. The drawback is that without a hands-on touch on the details it is difficult to develop an intuitive understanding of the techniques. We try to combine these views by providing hands-on examples on the techniques while binding these to the more general theory that is developed in parallel. For instance, the use of vector spaces and group theory unifies the spectral (Fourier-like) interpretation of polynomial, and graphic (decision diagrams) representations of logic functions, as well as provides new methods for optimization of logic functions. Consequently, Fundamentals of Switching Theory and Logic Design discusses the fundamentals 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. It also covers the core topics recommended in IEEE/ACM curricula for teaching and study in this area. Further, it contains several elective sections discussing topics for further research work in this area
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Sets, Relations, Logic, Functions.- Algebraic Structures For Logic Design.- Functional Expressions For Switching Functions.- Decision Diagrams for Representation of Switching Functions.- Classification of Switching Functions.- Synthesis with Multiplexers.- Realizations with ROM.- Realizations with Programmable Logic Arrays.- Universal Cellular Arrays.- Field Programmable Logic Arrays.- Boolean Difference and Applications in Testing Logic Networks.- Sequential Networks.- Realization of Sequential Networks.
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Discusses the fundamentals of switching theory and logic design from a slightly alternative point of view by emphasizing links between switching theory and related areas of signal processing and system theory A good balance between the economy of top-down approach by starting with presenting abstract theory and the benefits of bottom-up approach where explanations are based on examples which are used also to introduce some useful notions and devices Spectral (Fourier-like) interpretation of polynomial, and graphic (decision diagrams) representations of logic functions, and a group-theoretic approach and to optimization problems in switching theory and logic design Vector spaces over various fields are used as the basic algebraic structure for the majority of considerations presented, instead of more classical approaches using Boolean structures
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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9781441939456
Publisert
2010-11-19
Utgiver
Vendor
Springer-Verlag New York Inc.
Høyde
240 mm
Bredde
160 mm
Aldersnivå
Professional/practitioner, P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet

Om bidragsyterne

Radomir Stankovic received the B.Sc. degree in electronic engineering from the Faculty of Electronics, University of Ni v, Serbia, Yugoslavia in 1976, and M.Sc. and Ph.D. degrees in applied mathematics from the Faculty of Electrical Engineering, University of Belgrade, Serbia, Yugoslavia, in 1984 and 1986, respectively. Currently, he is a Professor at Department of Computer Science, University of Ni v, Serbia, Yugoslavia. His research interests include spectral techniques, switching theory and multiple-valued logic, and signal processing. He is a member of IEICE.

Jaakko Astola (Fellow IEEE) received B.Sc., M.S.c, Licentiate and Ph.D. degrees in mathematics (specializing in error-correcting codes) from Turku University, Finland, in 1972, 1973, 1975, and 1978 respectively. From 1993 he has been Professor of Signal Processing and Director of Tampere International Center for Signal Processing leading a group of about 60 scientists and was nominated Academy Professor by Academy of Finland (2001-2006). His research interests include signal processing, coding theory, spectral techniques and statistics.