(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled) (Untitled)(Untitled)Examples




IEVref:171-07-27ID:
Language:enStatus: Standard
Term: mean transinformation content
Synonym1: average transinformation content
[Preferred]
Synonym2:
Synonym3:
Symbol: T(X,Y)
Definition: mean value of the transinformation content T(xi,xj) of two events xi and yj, each in one of two finite sets of mutually exclusive and jointly exhaustive events

T( X,Y )= i=1 n j=1 m p( x i , y j )T( x i , y j ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGubWaaeWaaeaacaWGybGaaiilaiaadMfaaiaawIcacaGLPaaa cqGH9aqpdaaeWbqaamaaqahabaGaamiCaiaacIcacaWG4bWaaSbaaS qaaiaadMgaaeqaaOGaaiilaiaadMhadaWgaaWcbaGaamOAaaqabaGc caGGPaGaeyyXICTaamivaiaacIcacaWG4bWaaSbaaSqaaiaadMgaae qaaOGaaiilaiaadMhadaWgaaWcbaGaamOAaaqabaGccaGGPaaaleaa caWGQbGaeyypa0tcLboacaaIXaaaleaacaWGTbaaniabggHiLdaale aacaWGPbGaeyypa0tcLboacaaIXaaaleaacaWGUbaaniabggHiLdaa aa@6206@

where

X = {x1, …, xn} is the set of events xi (i = 1, …, n), Y = {y1, …, ym} is the set of events yj (j = 1, …, m) and p(xi,yj) the joint probability that both events occur

Note 1 to entry: The mean transinformation content is symmetric in X and Y. It is also equal to the difference between the entropy of one of the two sets of events and the conditional entropy of this set relative to the other: T( X|Y )=H(X)H(X|Y)=H(Y)H(Y|X)=T(X|Y)MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGubWaaeWaaeaacaWGybGaaiiFaiaadMfaaiaawIcacaGLPaaa cqGH9aqpcaWGibGaaiikaiaadIfacaGGPaGaeyOeI0IaamisaiaacI cacaWGybGaaiiFaiaadMfacaGGPaGaeyypa0JaamisaiaacIcacaWG zbGaaiykaiabgkHiTiaadIeacaGGOaGaamywaiaacYhacaWGybGaai ykaiabg2da9iaadsfacaGGOaGaamiwaiaacYhacaWGzbGaaiykaaaa @5BC6@ .

Note 2 to entry: The mean transinformation content is a quantitative measure of information transmitted through a channel, when X is a specific set of messages at the message source and Y is a specific set of messages at the message sink. It is equal to the difference between the entropy at the message source and the equivocation, or the difference between the entropy at the message sink and the irrelevance.


Publication date:2019-03-29
Source:IEC 80000-13:2008, 13-36, modified – Addition of information useful for the context of the IEV, and adaptation to the IEV rules
Replaces:
Internal notes:
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5: