In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise... 16 KB (2,780 words) - 15:22, 18 January 2024 |
the noisy-channel coding theorem to the archetypal case of a continuous-time analog communications channel subject to Gaussian noise. The theorem establishes... 21 KB (3,073 words) - 21:58, 25 April 2024 |
over a communication channel. Following the terms of the noisy-channel coding theorem, the channel capacity of a given channel is the highest information... 25 KB (4,751 words) - 07:19, 20 February 2024 |
be made arbitrarily small, by making n larger. Channel coding Error exponent Noisy-channel coding theorem Shen, A. and Uspensky, V.A. and Vereshchagin,... 12 KB (1,881 words) - 09:30, 2 May 2024 |
applied to varied communication channels such as telephone lines or disk drive storage. The noisy-channel coding theorem applies to BSCp, saying that information... 23 KB (2,613 words) - 15:23, 18 January 2024 |
improving the received effective signal-to-noise ratio. The noisy-channel coding theorem of Claude Shannon can be used to compute the maximum achievable... 40 KB (4,679 words) - 11:53, 21 April 2024 |
perfectly noiseless channel. Shannon strengthened this result considerably for noisy channels in his noisy-channel coding theorem. Entropy in information... 66 KB (9,711 words) - 20:09, 2 May 2024 |
expected to receive as much information as predicted by the noisy channel coding theorem. "information theory - Classical information theory | Britannica"... 791 bytes (74 words) - 01:23, 13 May 2024 |
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... 22 KB (3,946 words) - 05:06, 17 January 2024 |
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... 13 KB (1,660 words) - 01:49, 26 April 2024 |
be wrong. Noisy channel coding theorem See Deppe 2007 and Hill 1995. Berlekamp 1964. Deppe 2007. Berlekamp, Elwyn R. (1964). Block coding with noiseless... 3 KB (397 words) - 19:20, 5 December 2023 |
Information theory (section Coding theory) given by the noisy-channel coding theorem; the practical result of the Shannon–Hartley law for the channel capacity of a Gaussian channel; as well as the... 54 KB (7,088 words) - 17:50, 10 May 2024 |
the direct coding theorem and the converse theorem. The direct coding theorem demonstrates that the quantum mutual information of the channel is an achievable... 3 KB (361 words) - 17:07, 12 May 2022 |
information theory, the Kraft–McMillan theorem establishes that any directly decodable coding scheme for coding a message to identify one value x i {\displaystyle... 18 KB (3,122 words) - 20:27, 12 May 2024 |
codes with feedback List of pioneers in computer science Models of communication n-gram Noisy channel coding theorem Nyquist–Shannon sampling theorem... 64 KB (6,007 words) - 07:11, 6 May 2024 |
Kullback–Leibler divergence lossless compression negentropy noisy-channel coding theorem (Shannon's theorem) principle of maximum entropy quantum information science... 1 KB (93 words) - 09:42, 8 August 2023 |
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... 15 KB (2,962 words) - 11:59, 26 October 2023 |
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... 22 KB (2,841 words) - 13:10, 28 April 2024 |
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... 14 KB (2,231 words) - 18:40, 27 April 2024 |
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... 7 KB (618 words) - 23:01, 13 February 2024 |
biodiversity index Noisy-channel coding theorem, sometimes called Shannon Limit, the theoretical limit to capacity of a communication channel Shannan (disambiguation)... 3 KB (406 words) - 01:25, 1 May 2024 |
Typical set (section Universal channel code) random codebook. Asymptotic equipartition property Source coding theorem Noisy-channel coding theorem C. E. Shannon, "A Mathematical Theory of Communication"... 11 KB (1,999 words) - 13:24, 5 May 2024 |
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... 5 KB (623 words) - 21:24, 18 September 2022 |
{\displaystyle x\in \mathrm {supp} \,X.} Then, using the disintegration theorem: P ( M | X = x ) = lim U ∋ x P ( M ∩ { X ∈ U } ) P ( { X ∈ U } ) and P... 11 KB (2,385 words) - 07:23, 20 July 2023 |
likelihood Detection theory Multiple comparisons problem Channel capacity Noisy-channel coding theorem Spectral density estimation Least mean squares (LMS)... 30 KB (5,307 words) - 14:21, 22 February 2024 |