In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified...
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The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate...
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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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Channel capacity (section Shannon capacity of a graph)
Redundancy Sender, Data compression, Receiver Shannon–Hartley theorem Spectral efficiency Throughput Shannon capacity of a graph MIMO Cooperative diversity...
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Entropy (information theory) (redirect from Shannon entropy)
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...
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Shannon's law may refer to: Shannon's source coding theorem, which establishes the theoretical limits to lossless data compression Shannon–Hartley theorem...
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on its bandwidth and SNR. This relationship is described by the Shannon–Hartley theorem, which is a fundamental law of information theory. SNR can be calculated...
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In information theory, Shannon's source coding theorem (or noiseless coding theorem) establishes the statistical limits to possible data compression for...
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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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professor at York University, and named for its resemblance to the Shannon–Hartley theorem. It describes the transmission of information using bandwidth,...
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Information theory (redirect from Shannon theory)
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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entropy Shannon index Shannon multigraph Shannon security Shannon switching game Shannon–Fano coding Shannon–Hartley law Shannon–Hartley theorem Shannon's expansion...
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Asymptotic equipartition property (redirect from Shannon–McMillan–Breiman theorem)
, 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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Eb/N0 (section Shannon limit)
{\displaystyle f_{s}} is the symbol rate in baud or symbols per second. The Shannon–Hartley 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 Shannon–Hartley theorem...
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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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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...
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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 (Shannon–Hartley theorem). Orthogonal frequency-division multiplexing (OFDM) is a very promising...
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{\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. Shannon–Hartley 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 Shannon–Hartley theorem, the C/N ratio is equivalent to the S/N ratio. The C/N ratio resembles...
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narrow band signal because of the relationship of bandwidth in the Shannon–Hartley theorem and because the low receive duty cycle receives less noise, increasing...
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quantifies the "amount of information" (in units such as shannons (bits), nats or hartleys) obtained about one random variable by observing the other...
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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...
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wide bandwidth allows poor signal-to-noise ratio according to Shannon–Hartley theorem, and that multi-path propagation in wireless communication can...
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