Weighted codes with summation in the ring of residues by an arbitrary modulus for the synthesis of digital computing devices
https://doi.org/10.17586/0021-3454-2022-65-4-231-246
Abstract
In the synthesis of self-checking and fault-tolerant digital computing systems, binary redundant codes are often used. Their use makes it possible to reduce structural redundancy in order to endow devices with the property of self-checking or fault tolerance. Results of the study of a wide class of codes with summation are presented, in the construction of which preselected sequences of weight coefficients and the summation procedure in the ring of residues by a preliminarily fixed modulus are used. Codes with three sequences of weight coefficients are considered: 1) natural numbers; 2) natural series except for powers of 2; 3) alternating sequences of increasing powers of the number 2. Characteristics of error detection by codes by multiplicities and types (monotonic, symmetric and asymmetric) are established. Conditions for constructing noise-immune codes, as well as methods for modifying codes to endow them with the property of noise immunity, are given. Results of experiments with control combinational circuits on the use of the described codes for error detection at their outputs are presented. The features of the use of modular weighted codes with summation in the synthesis of digital devices are discussed.
About the Authors
D. V. Efanov
Russian University of Transport; Peter the Great St. Petersburg Polytechnic University
Russian Federation
Russian Federation
Dmitry V. Efanov — Dr. Sci., Associate Professor; Russian University of Transport, Department of Automation, Remote Control, and Communications on Railway Transport; Peter the Great St. Petersburg Polytechnic University, Institute of Machinery, Materials, and Transport; Professor.
Moscow; St. Petersburg
А. V. Pashukov
Russian University of Transport
Russian Federation
Russian Federation
Artyom V. Pashukov — Russian University of Transport, Department of Automation, Remote Control, and Communications on Railway Transport; Assistant.
Moscow
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For citations:
Efanov D.V., Pashukov А.V. Weighted codes with summation in the ring of residues by an arbitrary modulus for the synthesis of digital computing devices. Journal of Instrument Engineering. 2022;65(4):231-246. (In Russ.) https://doi.org/10.17586/0021-3454-2022-65-4-231-246
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