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Formal Concept Analysis Based Parallel Reduction Algorithm for MIMO Truth Table |
CHEN Zehua YAN Jixiong CHAI Jing |
(College of Information Engineering, Taiyuan University of Technology, Taiyuan 030024, China) |
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Abstract Truth table reduction is one of the key problems in the analysis and design of digital logic circuits, FCA (Formal Concept Analysis) is a tool for data analysis and rule extraction from formal contexts. In this paper, MIMO (Multiple-Input Multiple-Output) truth table is transformed into formal decision context, thus the reduction problem of truth table is transformed into the simplest rule extraction process of formal decision context. Then, a parallel reduction algorithm for MIMO truth table based on FCA is proposed. The correctness, efficiency and rapidity of the new algorithm are illustrated by the theoretical proof, example demonstration and complexity analysis of the proposed algorithm.
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Received: 09 January 2017
Published: 27 June 2017
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Fund:The National Natural Science Foundation of China (61402319, 61403273), The Natural Science Foundation of Shanxi Province (2014021022-4) |
Corresponding Authors:
CHEN Zehua
E-mail: zehuachen@163.com
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