By Topic

High-resolution source coding for non-difference distortion measures: the rate-distortion function

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Linder, T. ; Dept. of Math. & Stat., Queen''s Univ., Kingston, Ont., Canada ; Zamir, R.

The problem of asymptotic (i,e., low-distortion) behavior of the rate-distortion function of a random vector is investigated for a class of non-difference distortion measures. The main result is an asymptotically tight expression which parallels the Shannon lower bound for difference distortion measures. For example, for an input-weighted squared error distortion measure d(x,y)=||W(x)(y-x)||2,y,x∈Rn, the asymptotic expression for the rate-distortion function of X∈Rn at distortion level D equals h(X)-2 /nlog(2πeD/n)+Elog|detW(X)| where h(X) is the differential entropy of X. Extensions to stationary sources and to high-resolution remote (“noisy”) source coding are also given

Published in:

Information Theory, IEEE Transactions on  (Volume:45 ,  Issue: 2 )