In information theory, the noisy-channel coding theorem (sometimes Shannon's theorem or Shannon's limit), establishes that for any given degree of noise...

the noisy-channel coding theorem to the archetypal case of a continuous-time analog communications channel subject to Gaussian noise. The theorem establishes...

over a communication channel. Following the terms of the noisy-channel coding theorem, the channel capacity of a given channel is the highest information...

improving the received effective signal-to-noise ratio. The noisy-channel coding theorem of Claude Shannon can be used to compute the maximum achievable...

be made arbitrarily small, by making n larger. Channel coding Error exponent Noisy-channel coding theorem Shen, A. and Uspensky, V.A. and Vereshchagin,...

applied to varied communication channels such as telephone lines or disk drive storage. The noisy-channel coding theorem applies to BSCp, saying that information...

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...

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...

perfectly noiseless channel. Shannon strengthened this result considerably for noisy channels in his noisy-channel coding theorem. Entropy in information...

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...

be wrong. Noisy channel coding theorem See Deppe 2007 and Hill 1995. Berlekamp 1964. Deppe 2007. Berlekamp, Elwyn R. (1964). Block coding with noiseless...

{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...

and about 98% of the time inside the 3σ circle. Ground bounce Noisy-channel coding theorem Gaussian process McClaning, Kevin, Radio Receiver Design, Noble...

Kullback–Leibler divergence lossless compression negentropy noisy-channel coding theorem (Shannon's theorem) principle of maximum entropy quantum information science...

the direct coding theorem and the converse theorem. The direct coding theorem demonstrates that the quantum mutual information of the channel is an achievable...

codes with feedback List of pioneers in computer science Models of communication n-gram Noisy channel coding theorem Nyquist–Shannon sampling theorem...

expected to receive as much information as predicted by the noisy channel coding theorem. Real-world receivers include: For modulated radio waves, a radio...

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...

information theory, the Kraft–McMillan theorem establishes that any directly decodable coding scheme for coding a message to identify one value x i {\displaystyle...

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...

properties of typical sequences, efficient coding schemes like Shannon's source coding theorem and channel coding theorem are developed, enabling near-optimal...

biodiversity index Noisy-channel coding theorem, sometimes called Shannon Limit, the theoretical limit to capacity of a communication channel Shannan (disambiguation)...

fundamental theorems of information theory: noiseless channel coding theorem and noisy channel coding theorem. He also showed that error correcting codes could...

over a communications channel. By the noisy-channel coding theorem, the channel capacity of a given channel is the limiting information rate (in units...

2000). Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. New York: Dover Publications. ISBN 0-486-41147-8...

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...

equipartition property Rate–distortion theory Shannon's source coding theorem Channel capacity Noisy-channel coding theorem Shannon–Hartley theorem v t e...

equipartition property Rate–distortion theory Shannon's source coding theorem Channel capacity Noisy-channel coding theorem Shannon–Hartley theorem v t e...

represents the amount of discrete information that can be transmitted over a channel that admits a continuous space of values. For the direct analogue of discrete...

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...