Open AccessNew approach to derivative calculation of multi‐valued logical functions with application to fault detection of digital circuits
Author(s) -
Liu Zhenbin,
Wang Yuzhen,
Li Haitao
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0104
Subject(s) - computer science , electronic circuit , fault detection and isolation , digital electronics , derivative (finance) , control theory (sociology) , control engineering , fault (geology) , electronic engineering , algorithm , engineering , artificial intelligence , electrical engineering , control (management) , seismology , geology , economics , financial economics , actuator
This study investigates the directional derivative of multi‐valued logical functions with application to fault detection of multi‐valued digital circuits. Firstly, the authors study the calculation problem of directional derivatives of multi‐valued logical functions by using the semi‐tensor product. Several new results and a new algorithm are obtained to calculate the directional derivative. Then, the achieved results are applied to the fault detection of multi‐valued digital circuits. A complete test set of stuck‐at faults is obtained. Finally, two illustrative examples are presented to demonstrate the effectiveness of the authors' method.