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    Electrical and Computer Engineering Department


    Linear Transceivers for MIMO Channels: A Marriage of Majorization Theory and Convex Optimization Theory

    February 3, 2006
    2 p.m.
    Bossone 303

    Daniel P. Palomar, Ph.D.


    MULTIPLE-INPUT MULTIPLE-OUTPUT (MIMO) CHANNELS constitute a unified way of modeling a wide range of different physical communication channels, which can then be handled with a compact and elegant vector-matrix notation. The two paradigmatic examples are wireless multi-antenna channels and wireline Digital Subscriber Line (DSL) channels.

    We consider the design of linear transceivers for point-to-point MIMO communication systems with perfect and imperfect channel state information (CSI). The design is based on a tradeoff between transmit power and performance. As opposed to the common approach of choosing a specific performance measure, we consider a design based on an arbitrary objective function which embraces the existing previous results and generalizes upon them. For this purpose, a unifying framework is developed based on majorization theory. Using this framework, the original complicated nonconvex problem with matrix-valued variables simplifies into a much simpler convex problem with scalar variables. With such a simplification, the design problem can be reformulated within the powerful framework of convex optimization theory. Closed-form expressions are then easily obtained for a variety of specific choices of objective functions.


    Daniel P. Palomar (S'99-M'03) received the Electrical Engineering and Ph.D. degrees (both with honors) from the Technical University of Catalonia (UPC), Barcelona, Spain, in 1998 and 2003, respectively.

    Since March 2004, he has been a Fulbright Research Fellow at Princeton University, Princeton, NJ. During 1998, he was with the Dept. of Electronic Engineering, King's College London (KCL), London, UK. From January 1999 to December 2003, he was a Research Assistant with the Dept. of Signal Theory and Communications, UPC, Barcelona. From April to November 2001, he held a visiting research appointment at the Dept. of Electrical Engineering, Stanford University, Stanford, CA. From January to December 2002, he was a Visiting Researcher at the Telecommunications Technological Center of Catalonia (CTTC), Barcelona. From August to November 2003, he was a Guest Researcher at the Dept. of Signals, Sensors, and Systems, Royal Institute of Technology (KTH), Stockholm, Sweden. From November 2003 to February 2004, he was a Visiting Researcher at the INFOCOM Dept., University of Rome "La Sapienza", Rome, Italy. In 2005, he held a position as a visiting professor at the Technical University of Catalonia (UPC).

    His primary research interests include information-theoretic and signal processing aspects of MIMO channels, with special emphasis on convex optimization theory applied to communication systems. He is the lead guest editor of a 2006/07 special issue of IEEE Journal on Selected Areas in Communications on "Optimization of MIMO Transceivers for Realistic Communication Network: Challenges and Opportunities."

    Dr. Palomar received the 2004 Young Author Best Paper Award by the IEEE Signal Processing Society; the 2002/03 best Ph.D. prize within the area of Information Technologies and Communications by the Technical University of Catalonia (UPC); the 2002/03 Rosina Ribalta first prize for the Best Doctoral Thesis within the areas of Information Technologies and Communications by the Epson Foundation; the 2004 prize for the best Doctoral Thesis in Advanced Mobile Communications by the Vodafone Foundation and COIT. He has also been awarded with a Fulbright Research Fellowship.

    Click here for slide presentation.

    Friday, February 3rd at 2 p.m.

    Bossone 303