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IEVref:171-07-26ID:
Language:enStatus: Standard
Term: transinformation content
Synonym1: transferred information
[Preferred]
Synonym2: transmitted information
[Admitted]
Synonym3: mutual information
[Admitted]
Symbol: T(x,y)
Definition: difference between the information content I(x) conveyed by the occurrence of an event x, and the conditional information content I( x|y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa aaa@4259@ conveyed by the occurrence of the same event, given the occurrence of another event y

T(x,y)=I(x)I(x|y) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGubGaaiikaiaadIhacaGGSaGaamyEaiaacMcacqGH9aqpcaWG jbGaaiikaiaadIhacaGGPaGaeyOeI0IaamysaiaacIcacaWG4bGaai iFaiaadMhacaGGPaaaaa@4C1D@

Note 1 to entry: The two events are particularly a message at the message source of a channel and a message at the message sink of the channel.

Note 2 to entry: The transinformation content can also be expressed as: T(x,y)=I( x )+I( y )I( x,y )MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aajugibiaadsfacaGGOaGaamiEaiaacYcacaWG5bGaaiykaiabg2da 9iaadMeaomaabmaakeaajugibiaadIhaaOGaayjkaiaawMcaaKqzGe Gaey4kaSIaamysa4WaaeWaaOqaaKqzGeGaamyEaaGccaGLOaGaayzk aaqcLbsacqGHsislcaWGjbGddaqadaGcbaqcLbsacaWG4bGaaiilai aadMhaaOGaayjkaiaawMcaaaaa@5424@ , where I(y) is the information content of the event y. From this follows that it is symmetric in x and y: T(x,y)=T(y,x) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aajugibiaadsfacaGGOaGaamiEaiaacYcacaWG5bGaaiykaiabg2da 9iaadsfacaGGOaGaamyEaiaacYcacaWG4bGaaiykaaaa@4856@ .


Publication date:2019-03-29
Source:IEC 80000-13:2008, 13-35, modified – Addition of information useful for the context of the IEV, and adaptation to the IEV rules
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