基于模代数的真值向量计算及其在多值逻辑综合中的应用
CALCULATION OF TRUTH VECTOR BASED ON MODULAR ALGEBRA AND ITS APPLICATIONS IN SYNTHESIS OF MULTIPLE-VALUED LOGIC
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摘要: 本文提出了由函数的真值向量计算Reed-Muller展式的简捷方法，由此可判定函数能否线性分解或部分线性分解。用典型例子演示了其在多值逻辑综合中的应用，结果表明该方法行之有效。Abstract: In this paper,a simple and fast method for calculating Reed-Muller expression is presented by using truth vector of multiple-valued function,and whether a function can be linearly or partially linearly decomposed can be determined.By using typical examples,syntheses of multiple-valued logic functions are shown.The method turns out to be effective.
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Green D H.Ternary Reed-Muller switching functions with fixed and mixed polarities[J].Int.J.Electronics.1989,67(5):761-765[2]吴训威．多值逻辑电路设计原理，杭州：杭州大学出版社，1994.10,33-45.[3]Benchu Fei,Qinghua Hong,Identification of linear ternary logic functions and its algorithms.IEEE Proceedings of the 24th International Symposium on Multiple-valued Logic;Boston:1994.5,324-327.[4]费本初，洪晴华．GF(3)上多元多项式的化简．应用数学，1996，9(2)：193-198. -
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