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Mutual Information Functions versus Correlation Functions (1990)
| Venue: | Journal of Statistical Physics |
| Citations: | 98 - 15 self |
BibTeX
@ARTICLE{Li90mutualinformation,
author = {Wentian Li},
title = {Mutual Information Functions versus Correlation Functions},
journal = {Journal of Statistical Physics},
year = {1990},
volume = {60},
pages = {823--837}
}
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Abstract
This paper studies one application of mutual information to symbolic sequence: the mutual information function M#d#. This function is compared with the more frequently used correlation function ,#d#. An exact relation between M#d# and ,#d# is derived for binary sequences. For sequences with more than two symbols,no such general relation exists; in particular, ,#d# = 0 mayormay not lead to M#d#=0. This linear,but not general,independence between symbols separated by a distance is studied for ternary sequences. Also included in this paper is the estimation of the #nite-size e#ect on calculating mutual information. Finally, the concept of #symbolic noise" is discussed.
