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SUMMARY:How Rate-Limited Feedback Increases Capacity for Memoryless Broadc
 ast Channels 
DTSTART:20140203T141500
DTEND:20140203T160000
DTSTAMP:20260408T005640Z
UID:d76950c3af6a497c48feb20f19390c3407b28684b5ca6c007daa23f5
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Michèle Wigger\, Telecom Paris\nBio: Michèle Wigger re
 ceived the M.Sc. degree and the Ph.D. degree both in electrical engineerin
 g from ETH Zurich in 2003 and 2008\, respectively.  After her PhD\, she s
 pent 7 months as a postdoctoral researcher at the Information Theory and A
 pplications (ITA) center\, University of California\, San Diego. Since Dec
 ember 2009\, she has been an assistant professor at Telecom Paris-Tech (fo
 rmer ENST)\, Paris\, France.\nWe present new coding schemes for the two-re
 ceiver discrete memoryless broadcast channel (BC) with rate-limited feedba
 ck from one or two receivers. With an appropriate modification\, our schem
 es also apply to the setup with noisy feedback when the receivers can code
  over the feedback links. Our first scheme strictly improves over the nofe
 edback capacity region for the class of strictly essentially less-noisy BC
 s\, even when there is only feedback from the weaker receiver and no matte
 r how small (but positive) the feedback rate. Examples of essentially stri
 ctly less-noisy BCs are the binary symmetric BC or the binary erasure BC w
 ith unequal  cross-over probabilities or unequal erasure probabilities to
  the two receivers. Our scheme also improves over the nofeedback capacity 
 region of the binary symmetric/binary erasure BC and also for parameter ra
 nges where the BC is not essentially less-noisy but more capable. So far\,
  feedback was known to increase capacity only for a few very specific memo
 ryless BCs with feedback.\nThe second scheme that we present has the follo
 wing property. When the feedback-rates are sufficiently large\, then it ca
 n recover all previously known  capacity and degrees of freedom results f
 or memoryless BCs with feedback\, i.e.\, the results by Dueck\, Wang\,  G
 eorgiadis and Tassiulas\, Shayevitz and Wigger\, and  Maddah-Ali and Tse.
  In particular\, as the feedback-rates tend to infinity our scheme converg
 es to a special case of the Shayevitz-Wigger scheme which is known to incl
 ude the other schemes as special cases.\nWe further show a duality relatio
 nship between the set of rates achieved with linear-feedback schemes over 
 multi-antenna memoryless Gaussian MACs and BCs. In this part we assume tha
 t the feedback is perfect\, i.e.\, of infinite rate. When either transmitt
 ers or receiver are single-antenna\, the  capacity region of the Gaussian
  MAC with feedback is known and is achieved by a linear-feedback scheme. F
 or these special cases our result thus allows us to determine the set of r
 ates that can be achieved over the Gaussian BC with linear-feedback scheme
 s\, and to identify the optimal linear-feedback schemes.\nJoint work with 
 Selma Belhadj Amor\, Yossef Steinberg\, and Youlong Wu.
LOCATION:BC 410 https://plan.epfl.ch/?room==BC%20410
STATUS:CONFIRMED
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