Item #29291 Probability of Error for Optimal Codes in a Gaussian Channel [Bell Monograph]. Claude E. Shannon, Elwood.

Probability of Error for Optimal Codes in a Gaussian Channel [Bell Monograph]

New York, N.Y. Bell Telephone Laboratories, Incorporated July 1959. Later printing. 46, [2-blank] pages. 10 7/8 x 8 3/8 inches (275 x 213 mm) Original wrappers, printed in grey, light blue, and black. Stapled with five holes punched at the spine as issued. A bright, clean copy. Fine. Wraps. [29291]


The Bell System Technical Journal, Vol 38, pp 611-656, May 1959 first published this paper. A separate Bell System Technical Journal offprint of this paper does exist, so this Bell Telephone System Technical Publications Monograph (#3259:July 1959) is a later printing.

"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." (abstract)

PROVENANCE: The personal files of Claude E. Shannon (unmarked). There were multiple examples of this item in Shannon's files.

REFERENCES:
Sloane and Wyner, "Claude Elwood Shannon Collected Papers," #117
Hook and Norman, "Origins of Cyberspace," #898 (incorrectly referencing this item as an offprint)

COLLECTORS NOTE: The Bell Telephone System Monograph series offered a way to obtain individual articles by Bell scientists regardless of where their work was first published. Many Monographs significantly postdate the original article publication. Because of this, they rarely constitute the coveted (and traditional) article offprint. If the journal of record issued no offprint, the Monograph might be the first separate publication - the closest the collector can come to a traditional offprint. We have done our best to place each Monograph properly in the article’s publishing history and welcome any corrections or additional information, especially regarding issues unknown to us.

Price: $125.00