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It connects Hartley's result with Shannon's channel capacity theorem in a form that is equivalent to specifying the M in Hartley's line rate formula in terms of a signal-to-noise ratio, but achieving reliability through error-correction coding rather than through reliably distinguishable pulse levels.
This result is known as the Shannon–Hartley theorem. [11] When the SNR is large (SNR ≫ 0 dB), the capacity ¯ is logarithmic in power and approximately linear in bandwidth. This is called the bandwidth-limited regime.
If the base of the logarithm is 2, then the unit of uncertainty is the shannon (more commonly known as bit). If it is the natural logarithm, then the unit is the nat. Hartley used a base-ten logarithm, and with this base, the unit of information is called the hartley (aka ban or dit) in his honor. It is also known as the Hartley entropy or max ...
Stated by Claude Shannon in 1948, the theorem describes the maximum possible efficiency of error-correcting methods versus levels of noise interference and data corruption. Shannon's theorem has wide-ranging applications in both communications and data storage. This theorem is of foundational importance to the modern field of information theory ...
Printable version; In other projects Appearance. move to sidebar hide. From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Shannon–Hartley theorem;
Shannon–Hartley theorem, which establishes the theoretical maximum rate at which data can be reliably transmitted over a noisy channel Shannon's law (Arizona) , a law against the firing of gunshots into the air, established after 14-year-old Shannon Smith was killed by a stray bullet in 1999
The Shannon–Hartley theorem says that the limit of reliable information rate (data rate exclusive of error-correcting codes) of a channel depends on bandwidth and signal-to-noise ratio according to: < (+) where
Separating axis theorem (convex geometry) Shannon–Hartley theorem (information theory) Shannon's expansion theorem (Boolean algebra) Shannon's source coding theorem (information theory) Shell theorem ; Shirshov–Cohn theorem (Jordan algebras) Shirshov–Witt theorem (Lie algebras) Shannon's theorem (information theory)