Outage capacity analysis for SIMO fading channel in spectrum sharing environment

In this paper, we consider the spectrum sharing cognitive radio system, which single-input multiple-output fading channel is assumed. Subject to the average interference constraint of primary user, the outage capacity of cognitive user involving joint beamforming and power control is analyzed. We derive the expressions of outage probability under different channel fading models including Raleigh fading, Nakagami-m fading and Lognormal shadowing fading, and the corresponding optimal transmission power and beamforming weights of CU are presented. Most of the expressions are exhibited in closed-form or with some special integral functions. Large amount of simulations are conducted to corroborate our theoretical results.