Loading...

On AVCs with quadratic constraints

Haddadpour, F ; Sharif University of Technology | 2013

655 Viewed
  1. Type of Document: Article
  2. DOI: 10.1109/ISIT.2013.6620230
  3. Publisher: 2013
  4. Abstract:
  5. In this work we study an Arbitrarily Varying Chanel (VC) with quadratic power constraints on the transmitter and a so-called 'oblivious' jammer (along with additional AWGN) under a maximum probability of error criterion, and no private randomness between the transmitter and the receiver. This is in contrast to similar AVC models under the average probability of error criterion considered in [1], [2], and models wherein common randomness is allowed [3] - these distinctions are important in some communication scenarios outlined below. We consider the regime where the jammer's power constraint is smaller than the transmitter's power constraint (in the other regime it is known no positive rate is possible). For this regime we show the existence of stochastic codes (with no common randomness between the transmitter and receiver) that enables reliable communication at the same rate as when the jammer is replaced with AWGN with the same power constraint. This matches known information-theoretic outer bounds. In addition to being a stronger result than that in [1] (enabling recovery of the results therein), our proof techniques are also somewhat more direct, and hence may be of independent interest
  6. Keywords:
  7. Average probability of error ; Common randomness ; Maximum probability ; Outer bounds ; Power constraints ; Quadratic constraint ; Reliable communication ; Transmitter and receiver ; Information theory ; Jamming ; White noise ; Transmitters
  8. Source: IEEE International Symposium on Information Theory - Proceedings, Istanbul ; July , 2013 , Pages 271-275 ; 21578095 (ISSN); 9781479904464 (ISBN)
  9. URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6620230