• In information theory, the ShannonHartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified...
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  • 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...
    51 KB (6,721 words) - 06:42, 3 April 2025
  • 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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  • Redundancy Sender, Data compression, Receiver ShannonHartley theorem Spectral efficiency Throughput Shannon capacity of a graph MIMO Cooperative diversity...
    26 KB (4,845 words) - 09:57, 31 March 2025
  • 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...
    72 KB (10,264 words) - 06:07, 14 May 2025
  • Shannon's law may refer to: Shannon's source coding theorem, which establishes the theoretical limits to lossless data compression ShannonHartley theorem...
    468 bytes (98 words) - 21:36, 27 June 2023
  • Thumbnail for Signal-to-noise ratio
    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 (3,695 words) - 15:34, 24 December 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) - 21:05, 11 May 2025
  • 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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  • 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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  • formalized by Claude Shannon in the 1940s, though early contributions were made in the 1920s through the works of Harry Nyquist and Ralph Hartley. It is at the...
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  • (information theory) Shannon–Hartley theorem (information theory) Shannon's source coding theorem (information theory) Shannon's theorem (information theory)...
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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...
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  • , 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 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 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...
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  • Thumbnail for Joint entropy
    measure of the uncertainty associated with a set of variables. The joint Shannon entropy (in bits) of two discrete random variables X {\displaystyle X}...
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  • 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) - 23:17, 13 September 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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  • 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...
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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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  • 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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  • where r is the required threshold information rate. ShannonHartley theorem Fading channel "Definition: outage probability". www.its.bldrdoc...
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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...
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  • indication of the quality of a communications channel. In the famous ShannonHartley theorem, the C/N ratio is equivalent to the S/N ratio. The C/N ratio resembles...
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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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  • 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 (8,848 words) - 15:24, 16 May 2025
  • limiting density of discrete points is an adjustment to the formula of Claude Shannon for differential entropy. It was formulated by Edwin Thompson Jaynes to...
    6 KB (966 words) - 18:36, 24 February 2025
  • Thumbnail for Multiplexing
    wide bandwidth allows poor signal-to-noise ratio according to ShannonHartley theorem, and that multi-path propagation in wireless communication can...
    22 KB (2,716 words) - 18:13, 24 May 2025