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- Shannon's_source_coding_theorem abstract "In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the limits to possible data compression, and the operational meaning of the Shannon entropy.The source coding theorem shows that (in the limit, as the length of a stream of independent and identically-distributed random variable (i.i.d.) data tends to infinity) it is impossible to compress the data such that the code rate (average number of bits per symbol) is less than the Shannon entropy of the source, without it being virtually certain that information will be lost. However it is possible to get the code rate arbitrarily close to the Shannon entropy, with negligible probability of loss.The source coding theorem for symbol codes places an upper and a lower bound on the minimal possible expected length of codewords as a function of the entropy of the input word (which is viewed as a random variable) and of the size of the target alphabet.".
- Shannon's_source_coding_theorem wikiPageID "1208872".
- Shannon's_source_coding_theorem wikiPageRevisionID "605564943".
- Shannon's_source_coding_theorem hasPhotoCollection Shannon's_source_coding_theorem.
- Shannon's_source_coding_theorem subject Category:Articles_containing_proofs.
- Shannon's_source_coding_theorem subject Category:Coding_theory.
- Shannon's_source_coding_theorem subject Category:Data_compression.
- Shannon's_source_coding_theorem subject Category:Information_theory.
- Shannon's_source_coding_theorem subject Category:Mathematical_theorems_in_theoretical_computer_science.
- Shannon's_source_coding_theorem subject Category:Presentation_layer_protocols.
- Shannon's_source_coding_theorem type Abstraction100002137.
- Shannon's_source_coding_theorem type Communication100033020.
- Shannon's_source_coding_theorem type Direction106786629.
- Shannon's_source_coding_theorem type MathematicalTheoremsInTheoreticalComputerScience.
- Shannon's_source_coding_theorem type Message106598915.
- Shannon's_source_coding_theorem type PresentationLayerProtocols.
- Shannon's_source_coding_theorem type Proposition106750804.
- Shannon's_source_coding_theorem type Protocol106665108.
- Shannon's_source_coding_theorem type Rule106652242.
- Shannon's_source_coding_theorem type Statement106722453.
- Shannon's_source_coding_theorem type Theorem106752293.
- Shannon's_source_coding_theorem type TheoremsInDiscreteMathematics.
- Shannon's_source_coding_theorem comment "In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the limits to possible data compression, and the operational meaning of the Shannon entropy.The source coding theorem shows that (in the limit, as the length of a stream of independent and identically-distributed random variable (i.i.d.) data tends to infinity) it is impossible to compress the data such that the code rate (average number of bits per symbol) is less than the Shannon entropy of the source, without it being virtually certain that information will be lost. ".
- Shannon's_source_coding_theorem label "Podstawowe twierdzenie Shannona".
- Shannon's_source_coding_theorem label "Primo teorema di Shannon".
- Shannon's_source_coding_theorem label "Shannon's source coding theorem".
- Shannon's_source_coding_theorem label "Théorème du codage de source".
- Shannon's_source_coding_theorem label "Теорема Шеннона об источнике шифрования".
- Shannon's_source_coding_theorem sameAs Théorème_du_codage_de_source.
- Shannon's_source_coding_theorem sameAs Primo_teorema_di_Shannon.
- Shannon's_source_coding_theorem sameAs Podstawowe_twierdzenie_Shannona.
- Shannon's_source_coding_theorem sameAs m.04hf4v.
- Shannon's_source_coding_theorem sameAs Q2411312.
- Shannon's_source_coding_theorem sameAs Q2411312.
- Shannon's_source_coding_theorem sameAs Shannon's_source_coding_theorem.
- Shannon's_source_coding_theorem wasDerivedFrom Shannon's_source_coding_theorem?oldid=605564943.
- Shannon's_source_coding_theorem isPrimaryTopicOf Shannon's_source_coding_theorem.