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Bits through ARQs: Spectrum Sharing with a Primary Packet System
Eswaran, Krishnan   Gastpar, Michael   Ramchandran, Kannan  
Dept. of Electrical Engineering and Computer Sciences, University of California, Berkeley, Berkeley, CA 94720. E-mail: keswaran@eecs.berkeley.edu;

This paper appears in: Information Theory, 2007. ISIT 2007. IEEE International Symposium on
Publication Date: 24-29 June 2007
On page(s): 2171-2175
Location: Nice,
ISBN: 978-1-4244-1397-3
Digital Object Identifier: 10.1109/ISIT.2007.4557542
Current Version Published: 2008-07-09

Abstract
We study a problem motivated by cognitive radio in which the primary is a packet system that employs ARQ feedback. A secondary system is allowed to transmit in the same frequency band provided it ensures that the primary attains a specified target rate. That is, the secondary has a certain "interference budget." The crux of the problem is that the secondary does not know how much interference it creates on the primary and therefore is ignorant of its interference budget. Absent this knowledge, we propose a scheme in which the secondary eavesdrops on the primary's ARQ and uses this knowledge to stay within its interference budget. Under certain assumptions, we show there exists an optimal rate-interference budget (RIB) tradeoff. We compare how far fixed strategies are from this RIB function as we vary the interference budget. Further, we exhibit a strategy that is optimal beyond a threshold interference budget and within 1 bit per primary packet elsewhere.

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