Equality in the Matrix Entropy-Power Inequality and Blind Separation of Real and Complex sources

The matrix version of the entropy-power inequality for real or complex coefficients and variables is proved using a transportation argument that easily settles the equality case. An application to blind source extraction is given.Comment: 5 pages, in Proc. 2019 IEEE International Symposium on Information Theory (ISIT 2019), Paris, France, July 7-12, 201

Equality in the matrix entropy-power inequality and blind separation of real and complex sources

International audienceThe matrix version of the entropy-power inequality for real or complex coefficients and variables is proved using a transportation argument that easily settles the equality case. An application to blind source extraction is given