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单词 shannon's theorem
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Shannon's (second or capacity) theorem
Used attributively and in the possessive to designate various concepts arising from Claude Shannon's work, esp. Shannon's (second or capacity) theorem, a theorem regarding the ability of a noisy channel to carry information with no more than an arbitrarily small frequency of errors (see quot. 1970).
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society > communication > telecommunication > [noun] > signal > noise or interference > signal-to-noise ratio > Shannon's formula or theorem
Shannon1956
1956 L. Brillouin Sci. & Information Theory i. 7 This is exactly Shannon's formula..for a problem with just two signals.
1956 IRE Trans. Information Theory II. 102/1 In the discrete case this quantity [of information] is evaluated correctly according to the well-known Shannon formula.
1963 N. Abramson Information Theory & Coding vi. 173 Shannon's second theorem can..be characterized as a little more than an existence proof.
1970 H. A. Rodgers Dict. Data Processing Terms 98/1 Shannon's capacity theorem, in information theory, a theorem stating that it is possible to encode a source of messages having an information rate H bits/sec so that its information can be transmitted through a noisy channel with an arbitrarily small frequency of errors, provided that H ≤C bits/sec, where C is called the limiting capacity of the channel.
1972 L. L. Gatlin Information Theory & Living Syst. iv. 98 A fundamental condition under which the Shannon theorem is valid is that the rate of emission from the source..must not exceed the channel capacity.
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