In this paper we propose a novel adaptive scheme for full duplexcommunication of secondary users (SUs) in a cognitive radio network. Thesecondary network operates in three modes; Cooperative Sensing (CS), FullDuplex Transmit and Sensing (FDTS), and Full Duplex Transmit and Receive(FDTR). In the CS mode, the secondary nodes detect the activity of primaryusers (PUs) through a novel cooperative MAC protocol and will decide thesystems mode of operation in the subsequent spectrum hole. In the FDTS mode oneof the SUs senses the PUs activity continuously whilst transmitting to anothernode. In the FDTR mode, the SUs would communicate bidirectionally in anasynchronous full duplex (FD) manner, with decreased maximum and averagecollision durations. Analytical closed forms for probability of collision,average collision duration and cumulative collision duration, as well asthroughput of the SU network are derived, and performance of the proposedprotocol in terms of above-mentioned metrics, its effectiveness, and advantagesover conventional methods of sensing and transmission are verified viasimulations
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