THE METHOD OF THE CONCURRENT ERROR-DETECTION OF COMBINATIONAL LOGIC DEVICES BASED ON THE SELF-DUAL COMPLEMENT TO CONSTANT-WEIGHT CODE

D.V. Efanov, V.V. Sapozhnikov, Vl.V. Sapozhnikov, D.V. Pivovarov

Èlektron. model. 2020, 42(3):27-55
https://doi.org/10.15407/emodel.42.03.027

ABSTRACT

The article proposes a method of the organization of concurrent error-detection (CED) systems, which combines the checkout of the generated code words belonging to the pre-selected constant-weight code and the checkout of each function belonging to the class of self-dual functions. The described method of the CED systems organization allows to increase the detection ability in comparison with the checkout by the method of Boolean complement to the constant-weight codes or to the self-dual functions. The article shows that only constant-weight codes with the same number of zero and ones bits (the so-called «r-out-of-2r» codes, where r is the weight of the code word) can be used in the organization of the combinational logic devices control according to the developed method. The priority in the CED systems organization is given to the constant-weight «2-out-of-4» code. The article develops algorithms for the synthesis of CED systems, the structures of which are completely self-checking in relation to the single stuck-at faults of the outputs of the internal logic elements. The simulation results of the CED system operation on the example of an random combinational logic device showed the high efficiency of the developed method.

KEYWORDS

combinational logic device, concurrent error-detection system, technical state control, fault detection, self-dual complement, constant-weight codes, «2-out-of-4» code.

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