Pricing and optimal power allocation in collaborative primary-secondary transmission using superposition coding

We study a problem of pricing-based power allocation in collaborative primary-secondary transmission using superposition coding (SC) where secondary power is assigned to primary and secondary signals with fraction α and (1 -α), respectively. The power allocation problem for the secondary user considering price of power level is formulated as a convex optimization problem. And an optimal power allocation for a known primary's pricing policy is provided. For the primary user, a convex optimization problem is formulated to find an optimal pricing policy. With numerical examples, optimal power allocation solutions and pricing policy for different network topologies are provided.