SOME QUESTIONS ABOUT THE NOISE STABILITY OF THE FUNCTIONS OF ALGEBRA OF LOGIC,

Abstract

This work examined the questions of the reprocessing of information by the functions of the algebra of logic from the point of view of their noise stability. Moreover, it was shown that any function of the algebra of logic can be connected to some continuous function characterizing the noise stability of a given function, that the noise stability of all functions of the algebra of logic (without excess) has one and the same order of smallness, and that the noise stability of the function can be increased only by the introduction of redundancy. At the end of the work it was shown that for any function of the algebra of logic one can construct another function of the algebra of logic with excess reprocessing the information as the given function but possessing noise stability of a higher order.

Document Details

Document Type
Technical Report
Publication Date
Oct 15, 1964
Accession Number
AD0608046

Entities

People

  • A. V. Petrosyan

Organizations

  • National Air and Space Intelligence Center

Tags

Fields of Study

  • Mathematics

Readers

  • Acoustical Oceanography.
  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Calculus or Mathematical Analysis