Wireless communication channels
Information theory of underspread WSSUS channels
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In this project, we developed the theory of communication over time-frequency varying wireless channels, taking into account the cost of acquiring the channel state information (CSI) 7,8. The theory leads to a new criterion on how to choose a good signal set for communication. Mathematically, this work relies on analyzing the action of the time-frequency varying channel operator upon the highly-structured Weyl-Heisenberg signal set.
Materials:
On the sensitivity of continuous-time noncoherent fading channel capacity
G. Durisi, V. I. Morgenshtern, and H. Bölcskei
IEEE Trans. Inf. Theory, Vol. 58, No. 10, pp. 6372–6391, Oct. 2012
Information theory of underspread WSSUS channels
G. Durisi, V. I. Morgenshtern, H. Bölcskei, U. G. Schuster, and S. Shamai (Shitz)
Chapter in Wireless Communications over Rapidly Time-Varying Channels, F. Hlawatsch and G. Matz, Eds., Academic Press, pp. 65–-116, 2011 (invited)
Capacity of multi-antenna noncoherent channels
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In this project, we discovered that one additional antenna at the receiver device can substantially reduce the cost of acquiring the CSI. With this idea the resources that normally would be spent learning the CSI, can now be used to transmit useful information, thus increasing the data rate in the channel. Mathematically, this work relies on understanding the manifold geometry corresponding to the communication channel.
Materials:
Capacity pre-log of noncoherent SIMO channels via Hironaka's Theorem
V. I. Morgenshtern, E. Riegler, W. Yang, G. Durisi, S. Lin, B. Sturmfels, and H. Bölcskei
IEEE Trans. Inf. Theory, Vol. 59, No. 7, pp. 4213–4229, Jul. 2013
The SIMO pre-log can be larger than the SISO pre-log
V. I. Morgenshtern, G. Durisi, and H. Bölcskei
in Proc. IEEE Int. Symp. Inf. Theory (ISIT), Austin, TX, pp. 320–324, Jun. 2010