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November 27, 2011

Mtg: Feedback Communication Systems: Fundamental Limits and Control-Theoretic Approach

by @ 1:55 pm. Filed under ALL, Computers/Software, Electronics Design, Engineering Mgmt

WEDNESDAY November 30, 2011
SCV Information Theory Chapter
Speaker: Ehsan Ardestanizadeh, PhD, ASSIA, Inc.
Time: Refreshments at 5:30 PM; Presentation at 6:00 PM
Cost: none
Place: 202 Packard Bldg, Stanford University, Stanford
RSVP: not required

We combine techniques from information theory, estimation and control, and optimization theory to investigate the benefits of feedback in improving fundamental limits on information flow in communication networks.? We focus on three network models.? First, combining the Lagrange duality technique and tools from information theory including the dependence balance bound, we derive an upper bound on the sum rate achievable by linear codes for the k-sender Gaussian multiple access channel with feedback.? This upper bound is further shown to coincide with the known lower bound by Kramer, hence establishing the linear sum capacity.? Next, we study the application of tools from classic linear quadratic Gaussian (LQG) control in designing codes for feedback communications.? For the k-receiver Gaussian broadcast channel with feedback, we construct a linear code based on a mapping to the LQG control problem, which achieves the best known lower bound on the sum rate.? In addition, depending on the correlation among the receivers’ noises, it is shown that in the high signal-to-noise ratio regime this code can achieve k degrees of freedom, i.e., the sum rate increases linearly with the number of receivers.? Finally, we consider the wiretap channel with rate-limited feedback and discuss the benefits of feedback in improving the secrecy capacity.

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