
Accession Number : AD0681901
Title : A NONENTROPY APPROACH TO SOME TOPICS IN CHANNEL THEORY,
Corporate Author : ATMOSPHERIC SCIENCES OFFICE WHITE SANDS MISSILE RANGE N MEX
Personal Author(s) : Miller,Walter B.
Report Date : NOV 1968
Pagination or Media Count : 69
Abstract : A channel is defined. Transmission and reception are discussed with respect to this structure. A set function omega is defined for the measurable subsets of the output space whose value at a given subset is related to the ability of a set to distinguish between transmitted signals. Omega is used to define a measure omega, which is used to determine an upper bound for the length of lambdacodes permitted by the channel. Of these notions omega and omega bar have not previously been considered in the literature. Chapter 2 studies the behavior of omega and omega bar under cartesian multiplication. Chapter 3 is concerned with properties of a channel as reflected in the normed linear space of totally finite signed measures on the output. Key results are concerned with certain extensions of the input space leaving prescribed channel parameters invariant, and in determining certain minimal channels. (Author)
Descriptors : (*INFORMATION THEORY, *MEASURE THEORY), CONVEX SETS, BANACH SPACE, PROBABILITY, TOPOLOGY, CODING, THEOREMS
Subject Categories : Cybernetics
Distribution Statement : APPROVED FOR PUBLIC RELEASE