Gross profit maximization and optimal power allocation for spectrum-sharing based on elastic controllable interference in Rayleigh fading channels

Unlike traditional spectrum sharing model with a predetermined fixed interference threshold at the primary receiver, in the paper we consider a new spectrum sharing model with a elastic controllable interference varying between 0 and bottom threshold that is maximum the primary receiver can tolerated, and we introduce a seller´s market trading mechanism in order to fully exploit the interference room, as has very important practical significance. In the context, we investigate the secondary user´s (SU´s) maximal gross profit and optimal power allocation scheme in Rayleigh fading environment, and also study the interference price and average revenue of SU´s impact on them. Numerical calculation results are conducted to verify our theoretical results.