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In this paper, a joint cross-layer design of adaptive modulation and coding(AMC) and cooperative automatic repeat request (C-ARQ) scheme is proposed for asecondary user in a shared-spectrum environment. First, based on thestatistical descriptions of the channel, closed-form expressions of the averagespectral efficiency (SE) and the average packet loss rate (PLR) are presented.Then, the cross-layer scheme is designed, with the aim of maximizing theaverage SE while maintaining the average PLR under a prescribed level. Anoptimization problem is formed, and a sub-optimal solution is found: the targetpacket error rates (PER) for the secondary system channels are obtained and thecorresponding sub-optimal AMC rate adaptation policy is derived based on thetarget PERs. Finally, the average SE and the average PLR performance of theproposed scheme are presented.

Adaptive Modulation and Coding and Cooperative ARQ in a Cognitive Radio System