In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise...
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the noisy-channel coding theorem to the archetypal case of a continuous-time analog communications channel subject to Gaussian noise. The theorem establishes...
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over a communication channel. Following the terms of the noisy-channel coding theorem, the channel capacity of a given channel is the highest information...
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improving the received effective signal-to-noise ratio. The noisy-channel coding theorem of Claude Shannon can be used to compute the maximum achievable...
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be made arbitrarily small, by making n larger. Channel coding Error exponent Noisy-channel coding theorem Shen, A. and Uspensky, V.A. and Vereshchagin,...
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applied to varied communication channels such as telephone lines or disk drive storage. The noisy-channel coding theorem applies to BSCp, saying that information...
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given by the noisy-channel coding theorem; the practical result of the Shannon–Hartley law for the channel capacity of a Gaussian channel; and of course...
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given by the noisy-channel coding theorem; the practical result of the Shannon–Hartley law for the channel capacity of a Gaussian channel; and of course...
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perfectly noiseless channel. Shannon strengthened this result considerably for noisy channels in his noisy-channel coding theorem. Entropy in information...
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Asymptotic equipartition property (redirect from Shannon–McMillan–Breiman theorem)
{1}{N}}|\operatorname {set} (H_{N})|.} Cramér's theorem (large deviations) Noisy-channel coding theorem Shannon's source coding theorem Cover & Thomas (1991), p. 51. Hawkins...
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Information theory (section Coding theory)
channel noise. Shannon's main result, the noisy-channel coding theorem, showed that, in the limit of many channel uses, the rate of information that is asymptotically...
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Additive white Gaussian noise (redirect from Gaussian channel)
and about 98% of the time inside the 3σ circle. Ground bounce Noisy-channel coding theorem Gaussian process McClaning, Kevin, Radio Receiver Design, Noble...
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be wrong. Noisy channel coding theorem See Deppe 2007 and Hill 1995. Berlekamp 1964. Deppe 2007. Berlekamp, Elwyn R. (1964). Block coding with noiseless...
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Kullback–Leibler divergence lossless compression negentropy noisy-channel coding theorem (Shannon's theorem) principle of maximum entropy quantum information science...
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the direct coding theorem and the converse theorem. The direct coding theorem demonstrates that the quantum mutual information of the channel is an achievable...
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expected to receive as much information as predicted by the noisy channel coding theorem. Real-world receivers include: For modulated radio waves, a radio...
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user. We also know from Shannon's channel coding theorem that if the source entropy is H bits/symbol, and the channel capacity is C (where C < H {\displaystyle...
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information theory, the Kraft–McMillan theorem establishes that any directly decodable coding scheme for coding a message to identify one value x i {\displaystyle...
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the capacity 1 − P e {\displaystyle 1-P_{e}} . However, by the noisy-channel coding theorem, the capacity of 1 − P e {\displaystyle 1-P_{e}} can be obtained...
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codes with feedback List of pioneers in computer science Models of communication n-gram Noisy channel coding theorem Nyquist–Shannon sampling theorem...
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Typical set (section Universal channel code)
properties of typical sequences, efficient coding schemes like Shannon's source coding theorem and channel coding theorem are developed, enabling near-optimal...
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fundamental theorems of information theory: noiseless channel coding theorem and noisy channel coding theorem. He also showed that error correcting codes could...
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Computer performance (section Channel capacity)
over a communications channel. By the noisy-channel coding theorem, the channel capacity of a given channel is the limiting information rate (in units...
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biodiversity index Noisy-channel coding theorem, sometimes called Shannon Limit, the theoretical limit to capacity of a communication channel Shannan (disambiguation)...
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beginning of the article. In terms of a communication channel in which the output Y {\displaystyle Y} is a noisy version of the input X {\displaystyle X} , these...
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2000). Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. New York: Dover Publications. ISBN 0-486-41147-8...
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equipartition property Rate–distortion theory Shannon's source coding theorem Channel capacity Noisy-channel coding theorem Shannon–Hartley theorem v t e...
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equipartition property Rate–distortion theory Shannon's source coding theorem Channel capacity Noisy-channel coding theorem Shannon–Hartley theorem v t e...
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Slepian–Wolf theorem gives a theoretical bound for the lossless coding rate for distributed coding of the two sources. The bound for the lossless coding rates...
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work is known for introducing the concepts of channel capacity as well as the noisy channel coding theorem. Shannon's article laid out the basic elements...
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