Title :
On the volume of the Minkowski sum of line sets and the entropy-power inequality
Author :
Zamir, Ram ; Feder, Meir
Author_Institution :
Dept. of Electr. Eng.-Syst., Tel Aviv Univ., Israel
fDate :
11/1/1998 12:00:00 AM
Abstract :
We derive a version of the Brunn-Minkowski inequality which gives a nontrivial lower bound on the volume of the Minkowski sum of degenerate sets, namely, line sets. This inequality parallels a recently obtained matrix generalization of the entropy-power inequality
Keywords :
entropy; information theory; set theory; Brunn-Minkowski inequality; Minkowski sum; degenerate sets; entropy-power inequality; information theory; line sets; nontrivial lower bound; Entropy; Information theory; Linear matrix inequalities; Vectors; Volume measurement;
Journal_Title :
Information Theory, IEEE Transactions on
