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- Q2411312 subject Q6304228.
- Q2411312 subject Q6391592.
- Q2411312 subject Q6391615.
- Q2411312 subject Q7451516.
- Q2411312 subject Q8266681.
- Q2411312 subject Q8612021.
- Q2411312 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.".
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- Q2411312 wikiPageWikiLink Q1425564.
- Q2411312 wikiPageWikiLink Q176623.
- Q2411312 wikiPageWikiLink Q186588.
- Q2411312 wikiPageWikiLink Q204570.
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- Q2411312 wikiPageWikiLink Q2493.
- Q2411312 wikiPageWikiLink Q2981616.
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- Q2411312 wikiPageWikiLink Q371685.
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- Q2411312 wikiPageWikiLink Q45003.
- Q2411312 wikiPageWikiLink Q4812181.
- Q2411312 wikiPageWikiLink Q5395710.
- Q2411312 wikiPageWikiLink Q6304228.
- Q2411312 wikiPageWikiLink Q6391592.
- Q2411312 wikiPageWikiLink Q6391615.
- Q2411312 wikiPageWikiLink Q7451516.
- Q2411312 wikiPageWikiLink Q8266681.
- Q2411312 wikiPageWikiLink Q849775.
- Q2411312 wikiPageWikiLink Q8612021.
- Q2411312 wikiPageWikiLink Q8805.
- Q2411312 wikiPageWikiLink Q989220.
- Q2411312 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. ".
- Q2411312 label "Shannon's source coding theorem".