Shannon's noisy-channel coding theorem

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:alsoKnownAs gptkb:Shannon's_channel_coding_theorem
gptkbp:appliesTo discrete memoryless channels
noisy communication channels
gptkbp:basisFor modern telecommunications
gptkbp:compatibleWith explicit code constructions
gptkbp:defines channel capacity
gptkbp:field gptkb:information_theory
gptkbp:form gptkb:organization
gptkb:probability_theory
mutual information
gptkbp:formedBy gptkb:Claude_Shannon
https://www.w3.org/2000/01/rdf-schema#label Shannon's noisy-channel coding theorem
gptkbp:implies existence of error-correcting codes
gptkbp:influenced coding theory
data compression
digital communications
gptkbp:provenBy achievability of channel capacity
gptkbp:publishedIn gptkb:A_Mathematical_Theory_of_Communication
gptkbp:state for any noisy channel, reliable communication is possible at any rate below channel capacity
gptkbp:yearProposed 1948
gptkbp:bfsParent gptkb:Shannon's_channel_coding_theorem
gptkbp:bfsLayer 6