Khalid Faraj
Optimal expression for fixed polarity dual Reed-Muller forms.
Faraj, Khalid; Almaini, A E A
Authors
A E A Almaini
Abstract
An algorithm for converting between products of sum (POS) and fixed polarity dual Reed-Muller (FPDRM) is proposed in this paper. This algorithm is used to compute the coefficients of POS from FPDRM directly from the truth table of POS. This algorithm is also used to compute the coefficients of POS from FPDRM. Another algorithm is presented in this paper to find the optimal polarity.The most popular minimization criterion of the dual Reed-Muller form is obtained by exhaustive search of all the polarity vectors. Another exhaustive method for dual Reed-Muller expressions is presented. This algorithm will find the optimal polarity among the 2" different polarities for large n-variable functions, without generating all of the polarity sets. This algorithm is based on separating the truth vector of POS and the use of sparse techniques, which will lead to the optimal polarity. Time efficiency and computing speed are thus achieved in this technique.
Citation
Faraj, K., & Almaini, A. E. A. (2007). Optimal expression for fixed polarity dual Reed-Muller forms. WSEAS Transactions on Circuits and Systems, 6, 364-371
Journal Article Type | Article |
---|---|
Publication Date | 2007-03 |
Deposit Date | May 1, 2009 |
Print ISSN | 11092734 |
Publisher | World Scientific and Engineering Academy and Society |
Peer Reviewed | Peer Reviewed |
Volume | 6 |
Pages | 364-371 |
Keywords | Computer algorithms; Logic; Switching theory; Optimization; Reed-Muller forms; Fixed polarity; Polarity vectors; |
Public URL | http://researchrepository.napier.ac.uk/id/eprint/2556 |
You might also like
State assignment for sequential circuits using multi-objective genetic algorithm
(2011)
Journal Article
Manipulation and optimization techniques for Boolean logic
(2010)
Journal Article
Optimization of MPRM functions using tabular techniques and genetic algorithms.
(2008)
Journal Article
CFAR Adaptive PN Code acquisition for DSSS Systems
(2008)
Journal Article
Efficient bidirectional conversion between RM and DFRM expansions
(2008)
Journal Article
Downloadable Citations
About Edinburgh Napier Research Repository
Administrator e-mail: repository@napier.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search