Spectral Interpretation of Decision Diagrams

Stankovic, Radomir,Astola, Jaakko T.

ISBN 10: 0387955453 / ISBN 13: 9780387955452

Published by Springer, 2003

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Bibliographic Details

• Title: Spectral Interpretation of Decision Diagrams
• Publisher: Springer
• Publication Date: 2003
• Language: English
• ISBN 10: 0387955453
• ISBN 13: 9780387955452
• Binding: hardcover
• Condition: Good

About this title

Synopsis

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.

Review

From the reviews:

"Classifying and uniformly interpreting decision diagrams through spectral interpretation methods is the main topic of this book. ... Necessary basic algebraic concepts are covered. The presentation is based on many examples ... . the bibliography has nearly 300 references. The main benefit is in getting a comprehensive overview of the diverse techniques and their connections. To facilitate using the book for self-study, the appendix contains ... simple questions which are answered in the main text." (Dieter Riebesehl, Zentralblatt MATH, Vol. 1038 (13), 2004)