• In information theory, the ShannonHartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified...
    21 KB (3,073 words) - 21:58, 25 April 2024
  • 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
  • Thumbnail for Nyquist–Shannon sampling theorem
    The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate...
    50 KB (6,604 words) - 20:40, 16 April 2024
  • In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for...
    12 KB (1,881 words) - 10:46, 30 October 2023
  • channel with B Hz bandwidth and signal-to-noise ratio S/N is the ShannonHartley theorem: C = B log 2 ⁡ ( 1 + S N )   {\displaystyle C=B\log _{2}\left(1+{\frac...
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  • on its bandwidth and SNR. This relationship is described by the ShannonHartley theorem, which is a fundamental law of information theory. SNR can be calculated...
    25 KB (3,699 words) - 03:18, 20 April 2024
  • Thumbnail for Entropy (information theory)
    the unit of bits (or "shannons"), while base e gives "natural units" nat, and base 10 gives units of "dits", "bans", or "hartleys". An equivalent definition...
    66 KB (9,711 words) - 18:07, 24 April 2024
  • Shannon's law may refer to: Shannon's source coding theorem, which establishes the theoretical limits to lossless data compression ShannonHartley theorem...
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  • Thumbnail for Fitts's law
    professor at York University, and named for its resemblance to the ShannonHartley theorem. It describes the transmission of information using bandwidth,...
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  • Thumbnail for Claude Shannon
    entropy Shannon index Shannon multigraph Shannon security Shannon switching game Shannon–Fano coding ShannonHartley law ShannonHartley theorem Shannon's expansion...
    64 KB (5,989 words) - 23:07, 21 April 2024
  • communication given by the noisy-channel coding theorem; the practical result of the ShannonHartley law for the channel capacity of a Gaussian channel;...
    54 KB (7,088 words) - 21:54, 28 April 2024
  • Thumbnail for Conditional entropy
    {\displaystyle X} is known. Here, information is measured in shannons, nats, or hartleys. The entropy of Y {\displaystyle Y} conditioned on X {\displaystyle...
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  • Thumbnail for Ralph Hartley
    Vinton Lyon Hartley (November 30, 1888 – May 1, 1970) was an American electronics researcher. He invented the Hartley oscillator and the Hartley transform...
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  • p} and q {\displaystyle q} . In information theory, the Kraft–McMillan theorem establishes that any directly decodable coding scheme for coding a message...
    18 KB (3,177 words) - 11:49, 26 April 2024
  • Thumbnail for Eb/N0
    Eb/N0 (section Shannon limit)
    {\displaystyle f_{s}} is the symbol rate in baud or symbols per second. The ShannonHartley theorem says that the limit of reliable information rate (data rate exclusive...
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  • of maximum entropy quantum information science range encoding redundancy (information theory) Rényi entropy self-information ShannonHartley theorem...
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  • Thumbnail for Mutual information
    quantifies the "amount of information" (in units such as shannons (bits), nats or hartleys) obtained about one random variable by observing the other...
    56 KB (8,614 words) - 07:04, 27 December 2023
  • , B , p ) {\displaystyle (\Omega ,B,p)} . The Shannon–McMillan–Breiman theorem, due to Claude Shannon, Brockway McMillan, and Leo Breiman, states that...
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  • Thumbnail for Bandwidth (signal processing)
    sampling theorem and Nyquist sampling rate, bandwidth typically refers to baseband bandwidth. In the context of Nyquist symbol rate or Shannon-Hartley channel...
    16 KB (2,296 words) - 03:55, 9 February 2024
  • Sela's theorem (hyperbolic groups) Separating axis theorem (convex geometry) ShannonHartley theorem (information theory) Shannon's expansion theorem (Boolean...
    73 KB (5,996 words) - 14:02, 21 April 2024
  • information from the source must reach the user. We also know from Shannon's channel coding theorem that if the source entropy is H bits/symbol, and the channel...
    14 KB (2,231 words) - 18:40, 27 April 2024
  • model Sethi model Seven-number summary Sexual dimorphism measures ShannonHartley theorem Shape of the distribution Shape parameter Shapiro–Wilk test Sharpe...
    87 KB (8,293 words) - 21:10, 26 March 2024
  • not generally possible to send more data than dictated by the Shannon-Hartley Theorem. Throughput is the number of messages successfully delivered per...
    9 KB (1,181 words) - 16:51, 6 April 2024
  • Thumbnail for Conditional mutual information
    1016/s0019-9958(78)90026-8. Dobrushin, R. L. (1959). "General formulation of Shannon's main theorem in information theory". Uspekhi Mat. Nauk. 14: 3–104. Cover, Thomas;...
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  • Thumbnail for Multiplexing
    wide bandwidth allows poor signal-to-noise ratio according to ShannonHartley theorem, and that multi-path propagation in wireless communication can...
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  • (on average) is proportional to the average power transmitted (ShannonHartley theorem). Orthogonal frequency-division multiplexing (OFDM) is a very promising...
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  • where r is the required threshold information rate. ShannonHartley theorem Fading channel "Definition: outage probability". www.its.bldrdoc...
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  • Thumbnail for Synthetic-aperture radar
    narrow band signal because of the relationship of bandwidth in the ShannonHartley theorem and because the low receive duty cycle receives less noise, increasing...
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  • information that can be sent. The dominant equation here is the ShannonHartley theorem, and analog limitations of this type can be understood as factors...
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  • ideal error coding and modulation is assumed, is given by the ShannonHartley theorem. Example 7: If the SNR is 1, corresponding to 0 decibel, the link...
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