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Features of a Multivalued Generalization of Binary Logic Operations in Linear Algebra for Problems of Digital Processing of Current-Output Sensor Signals

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Abstract

We discuss the problems of transition to the logic synthesis of multivalued digital structures for computer technology and automatic control problems, including the processing of signals from current-output sensors. An algebraic structure for the synthesis of multivalued current circuits based on linear algebra is proposed. The functional capabilities of linear and Boolean algebras for the development and application of bases for the logic synthesis of multivalued digital structures are considered. Simulation-based estimates of the values of technical parameters of multivalued current circuits are given.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 18-37-00061.

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Authors and Affiliations

  1. Don State Technical University, Rostov-on-Don, 344000, Russia

    N. I. Chernov, N. V. Butyrlagin & N. N. Prokopenko

  2. Ufa State Petroleum Technological University, Ufa, 450064, Russia

    A. I. Gulin

  3. Institute for Design Problems in Microelectronics, Russian Academy of Sciences, Zelenograd, Moscow, 124365, Russia

    N. N. Prokopenko

Authors
  1. N. I. Chernov
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  2. A. I. Gulin
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  3. N. V. Butyrlagin
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  4. N. N. Prokopenko
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Corresponding authors

Correspondence to N. I. Chernov, A. I. Gulin, N. V. Butyrlagin or N. N. Prokopenko.

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Translated by V. Potapchouck

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Chernov, N.I., Gulin, A.I., Butyrlagin, N.V. et al. Features of a Multivalued Generalization of Binary Logic Operations in Linear Algebra for Problems of Digital Processing of Current-Output Sensor Signals. Autom Remote Control 82, 2213–2223 (2021). https://doi.org/10.1134/S0005117921120122

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