Probability of Error for Optimal Codes in a Gaussian Channel

1959; Institute of Electrical and Electronics Engineers; Volume: 38; Issue: 3 Linguagem: Inglês

10.1002/j.1538-7305.1959.tb03905.x

ISSN

2376-7154

Autores

Claude E. Shannon,

Tópico(s)

Error Correcting Code Techniques

Resumo

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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