L_1 norm approximately minimization (Moreau envelope) and its application to MIMO radio communications

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• Masahiro Yukawa
• Monday 07 December 2009, 14:00-15:00
• 908.

If you have a question about this talk, please contact Danilo Mandic.

Abstract: This talk addresses the minimal subset selection of antennas achieving designated channel capacity. This is one of the most natural approaches to alleviating the power consumption in MIMO systems, while it is a mathematically challenging nonlinearly-constrained sparse optimization (L0-norm minimization) problem. We present an efficient algorithmic solution, to this highly combinatorial problem, using convex and differentiable relaxations of the L0-norm. The proposed algorithm is based on the hybrid steepest descent method for the subgradient projection operator together with the soft-thresholding technique, minimizing the Moreau envelope of the L1-norm subject to the capacity constraint. The simulation results show that the proposed algorithm realizes a near optimal solution to the original nonlinearly-constrained sparse optimization problem.

Bio: Masahiro Yukawa received the Ph.D. degree from the Tokyo Institute of Technology, Japan, in 2006. He is currently a Postdoctoral Researcher in the Laboratory for Mathematical Neuroscience, Brain Science Institute, RIKEN , Saitama, Japan. He was a Visiting Researcher at the Department of Electronics, the University of York, U.K. (October 2006—March 2007), and a Guest Researcher at the Associate Institute for Signal Processing, the Technical University of Munich, Germany (August—November 2008). His research interests include mathematical adaptive signal processing, constrained/sparse optimization, and their applications to acoustic/communication systems. From April 2005 to March 2007, he was a recipient of the Research Fellowship of the Japan Society for the Promotion of Science (JSPS). He received the Excellent Paper Award from the IEICE in 2006, the Yasujiro Niwa Outstanding Paper Award from Tokyo Denki University in 2007, and the Ericsson Young Scientist Award from Ericsson Japan in 2009. He currently serves as an Associate Editor for the IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences.

This talk is part of the COMMSP Seminar series.

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