ICASSP 2008 - 2008 IEEE International Conference on Acoustics, Speech, and Signal Processing - March 30 - April 4, 2008 - Las Vegas, Nevada, U.S.A.

T-2: Majorization and Matrix Monotone Functions in Signal Processing for Wireless Communications

Sunday Afternoon, March 30
14:00 - 17:00

Presented by

Eduard Jorswieck, Royal Institute of Technology (KTH), Sweden, Holger Boche, Technical University of Berlin, Germany

Abstract

This tutorial presents two mathematical techniques namely Majorization Theory and Matrix-Monotone Functions which are applied to solve signal processing problems in wireless communications. The tutorial is based on the monograph [1].

This tutorial gives a compact and in-depth treatment of two mathematical techniques, namely Majorization theory and Matrix-Monotone Functions, and their application in Signal Processing for Wireless Communications. In this tutorial participants will learn how to properly assess and apply these results when analyzing and developing practical air interfaces including multiple-antenna multiple-carrier single-user and cellular multi-user uplink and downlink systems. The tutorial is based on the practical experience of the instructors accumulated over several years of cooperation with the industry. This experience combined with solid theoretical background will help participants to better understand important theoretical concepts and their application and impact on the practical wireless system design.

[1] E. A. Jorswieck and H. Boche, Majorization and Matrix Monotone Functions in Wireless Communications, ser. Foundations and Trends in Communications and Information Theory, S. Verdú, Ed. Now publishers, July 2007, vol. 3, no. 6, pp. 553-701.

Outline

  • Majorization Theory (MT): basic definitions, properties, novel results
    • Application of MT: spatial correlation in multiple antenna systems
    • Error performance of orthogonal-space-time-block-coded (OSTBC) MIMO systems
    • Average capacity and outage probability of MISO systems and OSTBC MIMO systems
    • Average performance, spectral efficiency in the low power regime, and delay-limited capacity of single-user MIMO
    • Zero-outage capacity region of single-antenna broadcast channels (BC)
  • Application of MT: user distribution in cellular systems
    • Average sum rate in uplink (MAC) and BC
    • Average sum rate in opportunistic beamforming (TDMA and SDMA)
    • Average sum rate vs. average worst-case delay in opportunistic scheduling systems
  • Matrix-Monotone Functions (MMF) basic definitions, examples, representation theorem, matrix norms, connections
  • Application of MMF: performance optimization in single-user multiple antenna channels (mutual information, MSE)
    • Relationship between mutual information and MMSE
    • Optimization of MIMO systems (average performance and worst-case performance)
    • MSE-based performance measures and interference functions
  • Application of MMF: optimization of multiuser multi-antenna systems
    • Individual and sum power constraints
    • Chunk-based MIMO OFDM MAC optimization (fixed-point algorithm)

Speaker Biographies

Eduard Jorswieck was born in 1975 in Berlin, Germany. He received his Diplom - Ingenieur (M.S.) degree and Doktor - Ingenieur (Ph.D.) degree, both in electrical engineering and computer science from the Technische Universität Berlin, Germany, in 2000 and 2004, respectively. He has been with the Fraunhofer Institute for Telecommunications, Heinrich-Hertz-Institut (HHI) Berlin, in the Broadband Mobile Communication Networks Department since 2001. Since 2005, he is Associate Lecturer at the department of Mobile Communications at the Technische Universitat Berlin. He joined the Department of Signals, Sensors and Systems at the Royal Institute of Technology (KTH), Stockholm, Sweden, in 2006 as Post-Doc and in 2007 as Research Associate.

Dr. Jorswieck authored or coauthored one book, one book chapter, over 25 journal papers, and 70 conference papers in the area of wireless communications, signal processing, and information theory. In 2006, Eduard Jorswieck received the IEEE Signal Processing Society Best Paper Award for the paper coauthored by H.Boche 'Optimal Transmission Strategies and Impact of Correlation in Multiantenna Systems with Different Types of Channel State Information'. He received a Best Paper Award at WPMC 2002 and the International Outstanding Student Award from the Bejing Institut of Technology in 2000.

Holger Boche received his M.Sc. and Ph.D. degrees in Electrical Engineering from the Technische Universität Dresden, Germany, in 1990 and 1994, respectively. In 1992 he graduated in Mathematics from the Technische Universität Dresden, and in 1998 he received his Ph.D. degree in pure mathematics from the Technische Universität Berlin. From 1994 to 1997 he did postgraduate studies in mathematics at the Friedrich-Schiller Universität Jena, Germany. In 1997 he joined the Heinrich-Hertz-Institut (HHI) für Nachrichtentechnik Berlin. He is head of the Broadband Mobile Communication Networks department at HHI. Since 2002 he is Full Professor for Mobile Communication Networks at the Technische Universität Berlin at the Institute for Communications Systems, since 2003 he is director of the Fraunhofer German-Sino Lab for Mobile Communications, and since 2005 he is director of the Fraunhofer Institute for Telecommunications, Berlin, Germany. He was visiting professor at the ETH Zurich during winter term 2004 and 2006 and at KTH Stockholm during summer term 2005. Prof. Boche received the Research Award 'Technische Kommunikation' from the Alcatel SEL Foundation in October 2003, the 'Innovation Award' from the Vodafone Foundation in June 2006, and he was co-recipient of the 2006 IEEE Signal Processing Society Best Paper Award. Dr. Boche is currently Associate Editor of the IEEE Transactions on Information Theory. He is a member of IEEE Signal Processing Society SPCOM Technical Committee.


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