Representations of Multiple-Valued Logic Functions
Compared to binary switching functions, multiple-valued functions 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 ai…
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- Full title :Representations of Multiple-Valued Logic Functions.
Summary
Compared to binary switching functions, multiple-valued functions 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 ap.
Read More ↓Edition Statements
- Publication Date:2012.
Publication Statements
- Publisher(s):Morgan & amp; Claypool Publishers
- Place of Publication:San Rafael
- Language:eng
- Publication Date:2012.
The Physical Object
- Description:1 online resource (170 pages)
Edition Identifiers
- ISBN:9781608459438, 1608459438
- oclc:ocn798532403
- LC Classification:QA9.45 .S384 2012
- Dewey Decimal:511.3
Table of Contents
Acknowledgments; Multiple-Valued Logic Functions; Tabular Representations; Cubes; Encoding of Variables; Other Representations; Algebraic Structures for Multiple-Valued Functions; Functions with Various Properties; Functional Expressions for Multiple-Valued Functions; Functional Expressions; Generalizations to Multiple-Valued Functions; Sum-of-Product Expressions; Galois Field Expressions; Galois Field Expressions for Ternary Functions; Galois Field Expressions for Quaternary Functions; Fixed-Polarity GF-expressions; Reed-Muller-Fourier Transform; RMF expressions for p=3.
RMF expressions for p=4. Efficiency of Representations; Computational Efficiency; Realization Efficiency; Arithmetic Expressions for Multiple-Valued Functions; Arithmetic Expressions for Multiple-Valued Functions derived from the GF-expressions; Arithmetic Expressions derived from the RMF-expressions; Structure of the Arithmetic RMF-transform matrices; Haar-like Expressions for Multiple-Valued Functions; Sparse Representations from Covering Codes; Covering Codes; Functional Expressions Determined from Covering Codes; Ternary Golay Code; Octacode--a quaternary code.
Sparse Representations Obtained from Algebraic…
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