## The Annals of Mathematical Statistics

- Ann. Math. Statist.
- Volume 30, Number 4 (1959), 1229-1241.

### The Capacity of a Class of Channels

David Blackwell, Leo Breiman, and A. J. Thomasian

#### Abstract

Shannon's basic theorem on the capacity of a channel is generalized to the case of a class of memoryless channels. A generalized capacity is defined and is shown to be the supremum of attainable transmission rates when the coding and decoding procedure must be satisfactory for every channel in the class.

#### Article information

**Source**

Ann. Math. Statist., Volume 30, Number 4 (1959), 1229-1241.

**Dates**

First available in Project Euclid: 27 April 2007

**Permanent link to this document**

https://projecteuclid.org/euclid.aoms/1177706106

**Digital Object Identifier**

doi:10.1214/aoms/1177706106

**Mathematical Reviews number (MathSciNet)**

MR127449

**Zentralblatt MATH identifier**

0104.11604

**JSTOR**

links.jstor.org

#### Citation

Blackwell, David; Breiman, Leo; Thomasian, A. J. The Capacity of a Class of Channels. Ann. Math. Statist. 30 (1959), no. 4, 1229--1241. doi:10.1214/aoms/1177706106. https://projecteuclid.org/euclid.aoms/1177706106