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Extremal properties of rate distortion functions

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1 Author(s)
Ahlswede, R. ; Fakultat fuer Math., Bielefeld Univ., West Germany

An attempt is made to determine whether it is true that for a fixed distortion level Δ the rate-distortion function R( P,Δ) has in the distribution P no local maxima with values different from the global maximum. It is shown that, in general, the answer is negative. However, the answer is positive for Hamming distortion measures. Moreover their R is Schur-concave

Published in:

Information Theory, IEEE Transactions on  (Volume:36 ,  Issue: 1 )

Date of Publication:

Jan 1990

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