Formal Concept Analysis Based Parallel Reduction Algorithm for MIMO Truth Table

CHEN Zehua; YAN Jixiong; CHAI Jing

doi:10.11999/JEIT170023

Volume 39 Issue 9

Sep. 2017

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CHEN Zehua, YAN Jixiong, CHAI Jing . Formal Concept Analysis Based Parallel Reduction Algorithm for MIMO Truth Table[J]. Journal of Electronics & Information Technology, 2017, 39(9): 2259-2265. doi: 10.11999/JEIT170023

Citation:

CHEN Zehua, YAN Jixiong, CHAI Jing . Formal Concept Analysis Based Parallel Reduction Algorithm for MIMO Truth Table[J]. Journal of Electronics & Information Technology, 2017, 39(9): 2259-2265. doi: 10.11999/JEIT170023

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Formal Concept Analysis Based Parallel Reduction Algorithm for MIMO Truth Table

doi: 10.11999/JEIT170023 cstr: 32379.14.JEIT170023

Funds:

The National Natural Science Foundation of China (61402319, 61403273), The Natural Science Foundation of Shanxi Province (2014021022-4)

Received Date: 2017-01-09
Rev Recd Date: 2017-05-25
Publish Date: 2017-09-19

Abstract

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.
- Digital logic circuit,
- Truth table reduction,
- Formal Concept Analysis (FCA),
- Rule extraction

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References(32)

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