4.3 Article

POA-FPRMs: Power Optimization Approach of Fixed Polarity Reed-Muller Expressions for Incompletely Specified Boolean Functions

Journal

CHINESE JOURNAL OF ELECTRONICS
Volume 28, Issue 6, Pages 1144-1151

Publisher

TECHNOLOGY EXCHANGE LIMITED HONG KONG
DOI: 10.1049/cje.2019.07.009

Keywords

Boolean functions; genetic algorithms; logic circuits; Reed-Muller codes; fixed polarity reed-muller expressions; Fixed polarity Reed-Muller expression; Fixed Polarity RM expressions; polarity optimization approach; POA-FPRM; Boolean functions; Fixed polarity Reed-Muller (RM) expression (FPRM); Genetic algorithm; Power optimization; Boolean functions

Funding

  1. Introducing Talent Research Project of Hebei Agricultural University [YJ201829]
  2. Hebei Youth Talents Support Project [BJ2019008]
  3. National Science Foundation of China [61772053, 60973106, 61232009, 81571142, 31801782]
  4. China Postdoctoral Science Foundation [2018M641154]
  5. Scientific Science and Technology Research Projects of Universities in Hebei [BJ2018012]
  6. Project of Hebei Natural Science Foundation [G201804093]

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Fixed polarity Reed-Muller (RM) expression (FPRM) has several practical applications due to its multitude of properties. In order to generate an FPRM with minimum power, based on a genetic algorithm, we propose a Power optimization approach (POA-FPRMs) of Fixed Polarity RM expressions for incompletely specified Boolean functions. Simulation results on MCNC benchmark circuits show that POAFPRMs can effectively reduce power, compared with the traditional polarity optimization approach, where the don't care terms are neglected.

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