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noisy channel coding theorem
URI:
https://gptkb.org/entity/noisy_channel_coding_theorem
GPTKB entity
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Statements (23)
Predicate
Object
gptkbp:instanceOf
gptkb:mathematical_concept
gptkbp:alsoKnownAs
gptkb:Shannon's_channel_coding_theorem
gptkbp:appliesTo
continuous channels
discrete memoryless channels
gptkbp:basisFor
development of practical codes like Turbo codes and LDPC codes
gptkbp:compatibleWith
explicit code construction
gptkbp:field
gptkb:information_theory
gptkbp:formedBy
gptkb:Claude_Shannon
1948
https://www.w3.org/2000/01/rdf-schema#label
noisy channel coding theorem
gptkbp:implies
Existence of error-correcting codes
gptkbp:influenced
coding theory
data transmission
modern digital communication
gptkbp:provenBy
arbitrarily small error probability is achievable below capacity
gptkbp:publishedIn
gptkb:A_Mathematical_Theory_of_Communication
gptkbp:relatedConcept
gptkb:Shannon_limit
gptkb:information_theory
channel capacity
error-correcting code
gptkbp:state
Reliable communication is possible over a noisy channel at any rate below channel capacity
gptkbp:bfsParent
gptkb:Communication_in_the_Presence_of_Noise
gptkbp:bfsLayer
4