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In this paper we investigate the problem of cooperative beamforming design in cognitive radio network with a primary network and a secondary network. In the secondary network, the two transmitters communicate by the help of relays each other, and the relays select the amplify-and-forward (AF). The aim of this paper is to minimize the total power of relays in the secondary network with the SNRs of two transmitters under constraints and the QoS requirement of the primary user. Therefore, we design an optimization model with constrains. We consider a SDP relaxation method and prove that there is a rank-one optimal solution which is the optimal solution of the original problem. So we obtain weights of the beamforming and the optimal power of relays. Moreover, we advise a reasonable number of the relays by numerical simulation.

Cooperative Beamforming Research for Two-Way Relay in Cognitive Radio by a New SDP Method