Physics – Mathematical Physics
Scientific paper
2011-09-15
Physics Letters A, vol. 373, no. 36, p. 3235-3238, 2009
Physics
Mathematical Physics
Scientific paper
10.1016/j.physleta.2009.07.015
We discuss the interest of escort distributions and R\'enyi entropy in the context of source coding. We first recall a source coding theorem by Campbell relating a generalized measure of length to the R\'enyi-Tsallis entropy. We show that the associated optimal codes can be obtained using considerations on escort-distributions. We propose a new family of measure of length involving escort-distributions and we show that these generalized lengths are also bounded below by the R\'enyi entropy. Furthermore, we obtain that the standard Shannon codes lengths are optimum for the new generalized lengths measures, whatever the entropic index. Finally, we show that there exists in this setting an interplay between standard and escort distributions.
No associations
LandOfFree
Source coding with escort distributions and Renyi entropy bounds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Source coding with escort distributions and Renyi entropy bounds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Source coding with escort distributions and Renyi entropy bounds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-673596