| 布尔函数的c导数及其在组合电路故障检测中的应用 |
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| 引用本文： | 王芳,应时彦,肖林荣.布尔函数的c导数及其在组合电路故障检测中的应用[J].浙江大学学报(理学版),2014,41(2):153-155. |
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| 作者姓名： | 王芳 应时彦 肖林荣 |
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| 作者单位： | 浙江长征职业技术学院 |
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| 基金项目： | 浙江省自然科学基金资助项目(Y1110808) |
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| 摘 要： | 提出了布尔函数c导数的定义和性质，并给出了部分性质的证明. 在此基础上，提出了求解“或”搭接及“与”搭接故障测试矢量的2个定理. 通过实例讨论了布尔函数c导数在组合逻辑电路故障检测中的应用.所提出的c导数是对布尔函数的布尔导数和e导数研究的补充与完善.
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| 关 键 词： | C导数 e导数 布尔导数 组合电路故障检测 布尔函数的特殊运算 搭接故障 |
| 收稿时间： | 2013-07-29; |
The c-derivative of Boolean functions and its application in fault detection of combinational circuits |
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| WANG Fang,YING Shiyan,XIAO Linrong.The c-derivative of Boolean functions and its application in fault detection of combinational circuits[J].Journal of Zhejiang University(Sciences Edition),2014,41(2):153-155. |
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| Authors: | WANG Fang YING Shiyan XIAO Linrong |
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| Affiliation: | 1. Department of Computer and Information Technology, Zhe- jiang Changzheng College of Profession and Technology, Hangzhou 310023, China; 2. College of Information Engineering, Zhejiang University of Technology, Hangzhou 310014, China; 3. Department of Electrical and Electronic Engineering, Jiaxing University, Jiaxing 314001, Zhejiang Province, China) |
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| Abstract: | The definitions and properties of c-derivative of Boolean functions is proposed, and the proofs for several properties are given. Based on it, two theorems on bridging fault by wired-OR and wired-AND models are presen- ted. Their application in the fault detection of combinational circuits of c-derivative of Boolean functions is dis- cussed. The c derivative of Boolean functions presented is the complement and improvement of the research on the Boolean derivative and e-derivative of Boolean functions. |
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| Keywords: | c-derivative e-derivative Boolean derivative fault detection of combinational circuits special operation of Boolean functions bridging fault |
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