Representation of multiple-valued logic functions
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.
Read More ↓Title Statements
- Full title :Representation of multiple-valued logic functions / Radomir S. Stanković, Jaakko T. Astola, Claudio Moraga.
Summary
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.
Read More ↓Edition Statements
- Publication Date:©2012.
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham, Switzerland
- Language:eng
- Publication Date:©2012.
Notes
Part of: Synthesis digital library of engineering and computer science.
The Physical Object
- Description:1 online resource (xiii, 154 pages) : : illustrations
Edition Identifiers
- ISBN:9781608459438, 1608459438, 9783031798528, 303179852X
- DOI:10.1007/978-3-031-79852-8
- oclc:ocn799365241
- LC Classification:QA9.45
- Dewey Decimal:511.3
Table of Contents
Acknowledgments -- 1. Multiple-valued logic functions -- 1.1 Tabular representations -- 1.2 Cubes -- 1.3 Encoding of variables -- 1.4 Other representations -- 1.5 Algebraic structures for multiple-valued functions -- 1.6 Functions with various properties.
2. Functional expressions for multiple-valued functions -- 2.1 Functional expressions -- 2.2 Generalizations to multiple-valued functions -- 2.3 Sum-of-product expressions -- 2.4 Galois field expressions -- 2.5 Fixed-polarity GF-expressions -- 2.6 Efficiency of representations -- 2.7 Arithmetic expressions for multiple-valued functions -- 2.8 Haar-like expressions for multiple-valued functions -- 2.9 Sparse representations from covering codes.
3. Spectral representations of multiple-valued functions -- 3.1 Fourier representations of logic functions -- 3.2 Construction of group characters -- 3.3 Haar series for multiple-valued logic functions.
4. Decision diagrams for multiple-valued functions -- 4.1 Decision trees and decision diagrams -- 4.2 Reduction rules -- 4.3 Multiple-place decision diagrams -- 4.4 Reduction of decision trees -- 4.5 Functional decision diagrams for MV functions -- 4.6 Reed-Muller-Fourier decision diagram…
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