Accession Number : AD0709357
Title : A THEOREM ON CONVERGENCE OF ENTROPY FOR SMALL DISTORTION.
Descriptive Note : Physical sciences research papers,
Corporate Author : AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS
Personal Author(s) : Pierce,John N.
Report Date : MAY 1970
Pagination or Media Count : 24
Abstract : Let X be a random variable with an absolutely continuous distribution function, and (Uk) be a sequence of random variables, independent of X, whose r-th mean converges to zero. Then it is shown that the existence of the R-th mean of X, for some positive R, is sufficient to guarantee the convergence of the entropy of X+(U sub k) to that of X. This theorem is useful in determining asymptotic approximations to the rate-distortion function and is thus pertinent to the problem of establishing the bit rate necessary to communicate at a specified small distortion. (Author)
Descriptors : (*INFORMATION THEORY, ENTROPY), NUMERICAL INTEGRATION, PROBABILITY, DISTORTION, CONVERGENCE, THEOREMS
Subject Categories : Cybernetics
Distribution Statement : APPROVED FOR PUBLIC RELEASE