The Statistics of Random Eigenvalues and Their Application to Space Time Coding and Multiple Access Channels

Electrical and Computer Engineering
Cornell University, NY

Friday, March 8th, 3:00 PM, ENS 637

anna@ece.cornell.edu

Abstract

The study of multiuser communications and space-time coding requires a deeper understanding of the statistics of random matrices. The application of theses notions allows to derive analytic expressions for the performance of random multi-input multi-output (MIMO) fading channels, modeling a wireless system with transmit and receive diversity, as well as direct sequence code division multiple access channels (DS-CDMA) with random codes. In the first part of this talk we will present the general methodology used to derive the statistics of the factors of random matrix decompositions (e.g. Cholesky, QR singular and eigenvalue decomposition) from the statistics of the matrix entries. This section of the talk will include a very informal introduction to differential forms and Grassman algebra. In the second part the statistics of the eigenvalues will be used to derive simple expressions for the performances of random MIMO systems that depend on only on the large scale fading and spectral efficiency of the system.

Biography

Anna Scaglione joined the faculty of the School of Electrical and Computer Engineering at Cornell in July 2001 as assistant professor. Prior to her appointment in ECE, she was assistant professor with the Electrical & Computer Engineering Department of the University of New Mexico from 2000-01, and a postdoctoral researcher in the Department of Electrical & Computer Engineering at the University of Minnesota from 1999-00. She received her Ph.D. degree in Electrical Engineering from the University of Rome in 1999. Her research area lies at the intersection between statistical signal processing and communication theory, with specific interest on optimal modem design for broadband frequency selective channels, equalization, time varying channels, multicarrier systems and transmit and receive diversity. With her coauthors she received the 2000 IEEE Signal Processing Transactions Best Paper Award for the paper, "Redundant Filterbank Precoders and Equalizers Part I & II."

A list of Telecommunications and Signal Processing Seminars is available at from the ECE department Web pages under "Seminars". The Web address for the Telecommunications and Signal Processing Seminars is http://signal.ece.utexas.edu/seminars