The e‐derivative of Boolean functions and its application in the fault detection and cryptographic system

Kybernetes ◽  
2011 ◽  
Vol 40 (5/6) ◽  
pp. 905-911 ◽  
Author(s):  
Weiwei Li ◽  
Zhuo Wang ◽  
Jinglian Huang
2018 ◽  
Vol 28 (6) ◽  
pp. 369-383 ◽  
Author(s):  
Kirill A. Popkov

Abstract We consider the synthesis problem of two-pole contact circuits implementing given Boolean functions and admitting short fault detection test with respect to contact breaks. For each n-place Boolean function, we found the smallest possible lengths of the single and complete fault detection tests. In particular, it is shown that such length are not greater than n.


2020 ◽  
Vol 30 (5) ◽  
pp. 303-306
Author(s):  
Yulia V. Borodina

AbstractWe consider Boolean circuits in Zhegalkin basis and describe all Boolean functions that can be implemented by a circuit admitting a complete fault detection test of length 1 in case of constant faults of type “1” at gate outputs.


Author(s):  
Weihai Sun ◽  
Lemei Han

Machine fault detection has great practical significance. Compared with the detection method that requires external sensors, the detection of machine fault by sound signal does not need to destroy its structure. The current popular audio-based fault detection often needs a lot of learning data and complex learning process, and needs the support of known fault database. The fault detection method based on audio proposed in this paper only needs to ensure that the machine works normally in the first second. Through the correlation coefficient calculation, energy analysis, EMD and other methods to carry out time-frequency analysis of the subsequent collected sound signals, we can detect whether the machine has fault.


TAPPI Journal ◽  
2014 ◽  
Vol 13 (1) ◽  
pp. 33-41
Author(s):  
YVON THARRAULT ◽  
MOULOUD AMAZOUZ

Recovery boilers play a key role in chemical pulp mills. Early detection of defects, such as water leaks, in a recovery boiler is critical to the prevention of explosions, which can occur when water reaches the molten smelt bed of the boiler. Early detection is difficult to achieve because of the complexity and the multitude of recovery boiler operating parameters. Multiple faults can occur in multiple components of the boiler simultaneously, and an efficient and robust fault isolation method is needed. In this paper, we present a new fault detection and isolation scheme for multiple faults. The proposed approach is based on principal component analysis (PCA), a popular fault detection technique. For fault detection, the Mahalanobis distance with an exponentially weighted moving average filter to reduce the false alarm rate is used. This filter is used to adapt the sensitivity of the fault detection scheme versus false alarm rate. For fault isolation, the reconstruction-based contribution is used. To avoid a combinatorial excess of faulty scenarios related to multiple faults, an iterative approach is used. This new method was validated using real data from a pulp and paper mill in Canada. The results demonstrate that the proposed method can effectively detect sensor faults and water leakage.


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