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Type: Artigo de evento
Title: Shannon's Formula And Hartley's Rule: A Mathematical Coincidence?
Author: Rioul
Olivier; Magossi
Jose Carlos
Abstract: Shannon's formula C = 1/2 log (1 + P/N) is the emblematic expression for the information capacity of a communication channel. Hartley's name is often associated with it, owing to Hartley's rule: counting the highest possible number of distinguishable values for a given amplitude A and precision +/-Delta yields a similar expression C' = log (1 + A/Delta). In the information theory community, the following "historical" statements are generally well accepted: (1) Hartley put forth his rule twenty years before Shannon; (2) Shannon's formula as a fundamental tradeoff between transmission rate, bandwidth, and signal-to-noise ratio came unexpected in 1948; (3) Hartley's rule is an imprecise relation while Shannon's formula is exact; (4) Hartley's expression is not an appropriate formula for the capacity of a communication channel. We show that all these four statements are questionable, if not wrong.
Subject: Communication
Citation: Shannon's Formula And Hartley's Rule: A Mathematical Coincidence?. Amer Inst Physics, v. 1641, p. 105-112 2015.
Rights: embargo
Identifier DOI: 10.1063/1.4905969
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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