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Conference papers
Equality in the matrix entropy-power inequality and blind separation of real and complex sources
Olivier Rioul
1, 2
Ram Zamir
3
1
COMNUM - Communications Numériques
LTCI - Laboratoire Traitement et Communication de l'Information
Olivier Rioul 1, 2
Mail :
Author IdHAL : rioul arXiv : https://arxiv.org/a/rioul ORCID : https://orcid.org/0000-0002-8681-8916
Ram Zamir 3
Author Employer institution : Tel Aviv University [Tel Aviv]
1
COMNUM - Communications Numériques (46 rue Barrault
75013 Paris - France)
- LTCI - Laboratoire Traitement et Communication de l'Information (46 rue Barrault F-75634 Paris Cedex 13 - France)
- Télécom ParisTech (46 rue Barrault 75634 Paris Cedex 13 - France)
- IMT - Institut Mines-Télécom [Paris] (37-39 Rue Dareau, 75014 Paris - France)
2
COMELEC - Département Communications & Electronique (46, rue Barrault
75013 Paris - France)
- Télécom ParisTech (46 rue Barrault 75634 Paris Cedex 13 - France)
3
Tel Aviv University [Tel Aviv] (P.O. Box 39040, Tel Aviv 6997801 - Israel)
Abstract : 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.
Document type :
Conference papers
Domain :
Complete list of metadatas
https://hal.telecom-paris.fr/hal-02300787
Contributor : Olivier Rioul <>
Submitted on : Sunday, September 29, 2019 - 9:01:19 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:54 PM
Contributor : Olivier Rioul <>
Submitted on : Sunday, September 29, 2019 - 9:01:19 PM
Last modification on : Wednesday, June 24, 2020 - 4:19:54 PM
Identifiers
- HAL Id : hal-02300787, version 1
Citation
Olivier Rioul, Ram Zamir. Equality in the matrix entropy-power inequality and blind separation of real and complex sources. 2019 IEEE International Symposium on Information Theory (ISIT 2019), Jul 2019, Paris, France. ⟨hal-02300787⟩
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