Mathematical Application Seminar
Spring Fall 2012
Monroe Hall, 2115 G Street, Room 267
SYMPOSIUM on Mathematics and Presidential Campaigns
Friday, October 19, 2012, 1:00 2:00 PM
Place: Moot Courtroom, Law School, 2000 H St., NW, 1st floor (entrance also from Quad)
Opening Remarks: Leo Chalupa, Vice President for Research.
Keynote Speaker: John Banzhaf, Law School, Inventor of the "Banzhaf Index of Voting Power"
Penelists: John Banzhaf, Law School, Inventor
of the "Banzhaf Index of Voting Power"
Danny Hayes, Assistant Professor of Political Science
Edward Turner, Dept. of Mathematics
Daniel Ullman, Co-Author, "A Mathematical Look at Politics"
Moderator: Yongwu Rong, Dept. of Mathematics and GWIMS.
Refreshments will be served at the end
This symposium is sponsored by the George Washington Institute for Mathematical Sciences (GWIMS), GW Economics Department, and GW Mathematics Department. Check http://home.gwu.edu/~rong/MathPolSymp.htm for the latest update on the event.
March 7, Wednesday 11:30 12:30 pm.
Speaker: Sang (Peter)
Chin, Cyber Space Technology Branch, Johns
Title: Application of Compressive Sensing to Cognitive Radio and Digital Holography
Place: Monroe 267, 2115 G Steet.
Abstract: One of the key aspects of cognitive radio is the concept of dynamic spectrum access, where a radio searches for a (temporarily) unused white space in order to transmit and receive its data. To enable such dynamic spectrum utilization, it is critical to detect the existence/absence of primary users, and furthermore understand the spectrum usage pattern of primary users. Currently, this is done by periodically switching the radio from the operation mode (transmit/receive) to sensing mode, during which the radio tries to sense for the existence of other (incumbent) signals. It is thus of utmost importance to make the sensing period as small as possible, which can not only increase the operational utilization, but also enable detection of more white spaces (including finer ones that can't be otherwise detected). We show that the nascent theory of compressive sensing, a revolutionary sampling paradigm which enables sampling at a much lower rate than the Nyquist rate by exploiting the sparsity of a given signal, can offer new opportunities for DSA. In particular, we show that compressive sensing theory is able to reduce significantly the amount of time and size of data that a cognitive radio needs in order to sense the existence of incumbent signals. Furthermore, We show that the recent progress on compressive sensing is also applicable and useful in a digital hololographic system, especially in that it greatly reduces the number of pixels (up to 80%) in hologram that is necessary to reconstruct the image without losing essential features of the image. This offers a path to sparsely sample the hologram and produce images with resolution comparable to the fully populated array, which in turn effects an holographic system to capture images at longer ranges using an array of sparsely populated smaller CCD arrays.
Biography: Dr. Sang (Peter) Chin is currently a branch chief
scientist of CyberSpace Technology Branch at Johns
Hopkins Applied Physics Laboratory and a, where he is conducting research in
the area of compressive sensing, data fusion, game theory, MHT tracking,
quantum-game inspired cyber-security, and cognitive radio. Prior to joining
JHU/APL, he was a Division CTO at SAIC, and before that, he was a technology
manager for 90 nm technology at LSI Logic Corp., where he also helped to
develop its first Embedded DRAM technology jointly with Hitachi Semiconductor
in late 90s. He received his Ph.D. in mathematics from MIT and is a Phi Beta
Kappa graduate from
The Mathematical Application Seminar in Previous Years
* The Mathematical Application Seminar was sponsored by.