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The authors propose transceiver algorithms in cognitive radio networks where the cognitive users are equipped with multiple antennas. Prior work has focused on the design of precoding matrices to suppress interference to the primary receivers. This paper considers designs of precoding and decoding matrices for spatial sensing to achieve two objectives: to prevent interference to the primary receivers and to remove the interference, due to primary transmissions, at the secondary receiver. With single antenna primary terminals and two antenna cognitive terminals, a linear transceiver design has been introduced under a global Channel State Information (CSI) assumption.
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