SHANNON, CLAUDE E.

Probability of Error for Optimal Codes in a Gaussian Channel. [Manuscript received October 17, 1958].

New York, American Telephone and Telegraph Company, 1959. 8vo. Volume XXXVIII, 1959 of The Bell System Technical Journal bound in a nice full green cloth with gilt title to spine. Library stamp to top of title page. Binding tight, clean and fresh. Also internally very nice and clean. Pp. 611-656. [Entire volume: 14, (2), 907 pp.]

First edition.
From the introduction to the present article: "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."

Claude Shannon is widely regarded as being the father of information theory and cryptography.

See:
OOC 898.

Order-nr.: 42742