Spectral Interpretation of Decision Diagrams

By: Radomir Stankovic, Jaakko T. Astola

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Hardcover | 16 June 2003

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Hardcover
312 Pages

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23.39 x 15.6 x 1.91

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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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"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)

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Signals
Algebraic structures for signal processing
Further readings in discrete functions
Spectral techniques
Spectral transforms
Further readings in Fourier analysis on groups
Spectral interpretation of DDs
Further readings in decision diagrams
DDs and order of variables
Further readings in optimization of DD by variables ordering
Free BDDs
Further readings in free BDDs
Word-level DDs
Spectral interpretation of edge-valued DDs
Spectral interpretation of TDDs
Further readings in ternary DDs
Spectral interpretation of optimization of DDs
Group-theoretic approach to optimization of DDs
Further readings in DD on finite groups
Closing remarks
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Spectral Interpretation of Decision Diagrams

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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