Circuits to Raise Reliability

M. M. Rokhlina

A chapter in Systems Theory Research, 1973, pp 309-315 from Springer

Abstract: Abstract Let us consider circuits of functional elements that in a certain sense can be said to “vote.” Voting consists of the following: in a circle of radius k the set (0, 0, ..., 0) realized by the circuit of the function takes on the value 0, while in a circle of the same radius the set (1, 1, ..., 1) takes the value 1; in this case we say that the circuit “corrects k errors.” This type of circuit must be used in the synthesis of self-correcting circuits made of functional elements [1]. The circuits considered here are built of 𝓔µ elements, realizing the function $${h_{\mu }}\left( {{x_{1}},...,{\kern 1pt} {\kern 1pt} {x_{{\mu + 1}}}} \right) = {\kern 1pt} \mathop{V}\limits_{{i = 1}}^{{\mu + 1}} {x_{1}}{x_{2}}{\kern 1pt} ...{\kern 1pt} {x_{{i - 1}}}{x_{{i + 1}}}{\kern 1pt} ...{\kern 1pt} {x_{{\mu + 1}}} $$ . From the set of all circuits that correct k errors we separate the subset of circuits in which the output of each element, different from the output of the whole circuit, is connected to one input of a certain element.

Date: 1973
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-0079-4_17

Ordering information: This item can be ordered from
http://www.springer.com/9781475700794

DOI: 10.1007/978-1-4757-0079-4_17

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().