ABSTRACT: What is the Grassmann manifold? How did it end up a topic of discussion in several wireless standards? This talk introduces the Grassmannmanifold - the set of subspaces of Euclidean space. How the Grassmann manifold arises in multiple antenna communication especially through thesubspace feedback problem is described in detail. Various open signalprocessing problems on the Grassmann manifold are identified along with their applications to control theory, optimization, image and videoprocessing, data mining and manifold learning.

 

SPEAKER: Robert W. Heath Jr. (www.ece.utexas.edu/~rheath) is an Associate Professor in the Department of Electrical and Computer Engineering at The University of Texas atAustin, Associate Director of the Wireless Networking and Communications Group, and President of MIMO Wireless Inc. He received his Ph.D. fromStanford University in 2002, in Electrical Engineering. Dr. Heath has been an Editor for the IEEE Transactions on Communication and anAssociate Editor for the IEEE Transactions on Vehicular Technology. He is a member of the Signal Processing for Communications TechnicalCommittee in the IEEE Signal Processing Society and is Vice-Chair of the IEEE Communication Theory Technical Committee. He was a technicalco-chair for the 2007 Fall Vehicular Technology Conference, general chair of the 2008 Communication Theory Workshop, was a general co-chair,technical co-chair and co-organizer of the 2009 IEEE Signal Processing for Wireless Communications Workshop, and is technical co-chair for the2010 IEEE International Symposium on Information Theory. He is the recipient of the David and Doris Lybarger Endowed Faculty Fellowship inEngineering and is a registered Professional Engineer in Texas.