May 1, 1959

Probability of Error for Optimal Codes in a Gaussian Channel

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Abstract

A study is made of coding and decoding systems for a continuous channel with an additive gaussian noise and subject to an average power limitation at the transmitter. Upper and lower bounds are found for the error probability in decoding with optimal codes and decoding systems. These bounds are close together for signaling rates near channel capacity and also for signaling rates near zero, but diverge between. Curves exhibiting these bounds are given.

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Claude E. Shannon (Fri,) studied this question.

synapsesocial.com/papers/6a1c2a8cd54006be995fa76c — DOI: https://doi.org/10.1002/j.1538-7305.1959.tb03905.x

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Authors

Claude E. Shannon

Network Group (Czechia)

Journals

Bell System Technical Journal

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Probability of Error for Optimal Codes in a Gaussian Channel

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