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- Shannons_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.".
- Shannons_source_coding_theorem wikiPageID "1208872".
- Shannons_source_coding_theorem wikiPageLength "10110".
- Shannons_source_coding_theorem wikiPageOutDegree "33".
- Shannons_source_coding_theorem wikiPageRevisionID "657141983".
- Shannons_source_coding_theorem wikiPageWikiLink Asymptotic_equipartition_property.
- Shannons_source_coding_theorem wikiPageWikiLink Bit.
- Shannons_source_coding_theorem wikiPageWikiLink Category:Articles_containing_proofs.
- Shannons_source_coding_theorem wikiPageWikiLink Category:Coding_theory.
- Shannons_source_coding_theorem wikiPageWikiLink Category:Data_compression.
- Shannons_source_coding_theorem wikiPageWikiLink Category:Information_theory.
- Shannons_source_coding_theorem wikiPageWikiLink Category:Mathematical_theorems_in_theoretical_computer_science.
- Shannons_source_coding_theorem wikiPageWikiLink Category:Presentation_layer_protocols.
- Shannons_source_coding_theorem wikiPageWikiLink Channel_coding.
- Shannons_source_coding_theorem wikiPageWikiLink Data_compression.
- Shannons_source_coding_theorem wikiPageWikiLink Differential_entropy.
- Shannons_source_coding_theorem wikiPageWikiLink Entropy.
- Shannons_source_coding_theorem wikiPageWikiLink Entropy_(information_theory).
- Shannons_source_coding_theorem wikiPageWikiLink Error_exponent.
- Shannons_source_coding_theorem wikiPageWikiLink Forward_error_correction.
- Shannons_source_coding_theorem wikiPageWikiLink Gibbs_inequality.
- Shannons_source_coding_theorem wikiPageWikiLink Independent_and_identically_distributed_random_variables.
- Shannons_source_coding_theorem wikiPageWikiLink Independent_identically-distributed_random_variables.
- Shannons_source_coding_theorem wikiPageWikiLink Information_theory.
- Shannons_source_coding_theorem wikiPageWikiLink Kleene_star.
- Shannons_source_coding_theorem wikiPageWikiLink Krafts_inequality.
- Shannons_source_coding_theorem wikiPageWikiLink Noisy-channel_coding_theorem.
- Shannons_source_coding_theorem wikiPageWikiLink Noisy_channel_coding_theorem.
- Shannons_source_coding_theorem wikiPageWikiLink Random_variable.
- Shannons_source_coding_theorem wikiPageWikiLink Shannon_entropy.
- Shannons_source_coding_theorem wikiPageWikiLink Time_series.
- Shannons_source_coding_theorem wikiPageWikiLink Variable-length_code.
- Shannons_source_coding_theorem wikiPageWikiLinkText "Shannon's source coding theorem".
- Shannons_source_coding_theorem wikiPageWikiLinkText "source coding theorem".
- Shannons_source_coding_theorem hasPhotoCollection Shannons_source_coding_theorem.
- Shannons_source_coding_theorem wikiPageUsesTemplate Template:About.
- Shannons_source_coding_theorem wikiPageUsesTemplate Template:Math.
- Shannons_source_coding_theorem wikiPageUsesTemplate Template:Mvar.
- Shannons_source_coding_theorem wikiPageUsesTemplate Template:Reflist.
- Shannons_source_coding_theorem subject Category:Articles_containing_proofs.
- Shannons_source_coding_theorem subject Category:Coding_theory.
- Shannons_source_coding_theorem subject Category:Data_compression.
- Shannons_source_coding_theorem subject Category:Information_theory.
- Shannons_source_coding_theorem subject Category:Mathematical_theorems_in_theoretical_computer_science.
- Shannons_source_coding_theorem subject Category:Presentation_layer_protocols.
- Shannons_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. ".
- Shannons_source_coding_theorem label "Shannon's source coding theorem".
- Shannons_source_coding_theorem sameAs Primer_teorema_de_Shannon.
- Shannons_source_coding_theorem sameAs Theorem_codio_ffynhonnell_Shannon.
- Shannons_source_coding_theorem sameAs Théorème_du_codage_de_source.
- Shannons_source_coding_theorem sameAs Primo_teorema_di_Shannon.
- Shannons_source_coding_theorem sameAs Podstawowe_twierdzenie_Shannona.
- Shannons_source_coding_theorem sameAs m.04hf4v.
- Shannons_source_coding_theorem sameAs Теорема_Шеннона_об_источнике_шифрования.
- Shannons_source_coding_theorem sameAs Прва_Шенонова_теорема.
- Shannons_source_coding_theorem sameAs Q2411312.
- Shannons_source_coding_theorem sameAs Q2411312.
- Shannons_source_coding_theorem sameAs 信源编码定理.
- Shannons_source_coding_theorem wasDerivedFrom Shannons_source_coding_theoremoldid=657141983.
- Shannons_source_coding_theorem isPrimaryTopicOf Shannons_source_coding_theorem.