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Area Digital technology – Fundamental concepts / Information theory

IEV ref171-07-26

Symbol
T(x,y)

en
transinformation content
transferred information
transmitted information
mutual information
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@ .


[SOURCE: IEC 80000-13:2008, 13-35, modified – Addition of information useful for the context of the IEV, and adaptation to the IEV rules]


fr
transinformation, f
quantité d'information mutuelle, f
information mutuelle, f
excès de la quantité d'information I(x) apportée par la réalisation d'un événement x sur la quantité d'information conditionnelle I( x|y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa aaa@4259@ liée à cette réalisation lorsque l'on connaît la réalisation d'un autre événement 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 à l’article: Les deux événements sont en particulier un message émis par la source de messages d'un canal et un message reçu par le collecteur de messages du canal.

Note 2 à l’article: La transinformation peut aussi être exprimée par: 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@ I(y) est la quantité d'information de l'événement y. Il en résulte qu'elle est symétrique en x et y: T(x,y)=T(y,x)MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aajugibiaadsfacaGGOaGaamiEaiaacYcacaWG5bGaaiykaiabg2da 9iaadsfacaGGOaGaamyEaiaacYcacaWG4bGaaiykaaaa@4856@ .


[SOURCE: IEC 80000-13:2008, 13-35, modifié – Ajout d’informations utiles pour le contexte de l’IEV, et adaptation aux règles de l’IEV]


ar
محتوى المعلومات المتبادلة
معلومات متبادلة
معلومات منقولة

de
Transinformationsgehalt, m
wechselseitiger Informationsgehalt, m

fi
keskinäisinformaatiomäärä
siirretty informaatio

ja
伝達情報量

pl
zawartość transinformacji, f
zawartość informacji wzajemnej, f
informacja przesłana, f
informacja wzajemna, f

pt
transinformação
quantidade de informação mutual

zh
交互信息

Publication date: 2019-03-29
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