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In this paper we consider the capacity of the cognitive radio (CR) channel in a fading environment under a "low interference regime". This capacity depends critically on a power loss parameter, α, which governs how much transmit power the CR dedicates to relaying the primary message. We derive a simple, accurate approximation to α which gives considerable insight into system capacity. We also investigate the effects of system parameters and propagation environment on α and the CR capacity. Indoi:10.1109/crowncom.2009.5189035 dblp:conf/crowncom/HanifSS09 fatcat:7rzpdfbg7vdx3oj6bv25hsbjf4