Witsenhausen's counterexample as Assisted Interference Suppression
by Pulkit Grover, Anant Sahai
International Journal of Systems, Control and Communications (IJSCC), Vol. 2, No. 1/2/3, 2010

Abstract: Motivated by the existence of an implicit channel in Witsenhausen's counterexample, we formulate a vector extension that can be viewed as a toy wireless communication problem ''Assisted Interference Suppression'' (AIS). Information-theoretic lower and upper bounds (based respectively on ideas from rate-distortion theory and dirty-paper coding) are then derived on the optimal cost and the asymptotic optimal cost is characterised to within a factor of 2 regardless of the problem parameters. Restricted to the scalar problem, it is shown that the new lower bound can be better than Witsenhausen's bound by an arbitrarily large factor.

Online publication date: Sat, 23-Jan-2010

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