Abstract
In this paper, we study the optimal beam forming design for a cognitive relay network, in which a secondary network transmits its data using a multi-antenna relay simultaneously with the primary users over the same spectrum. An optimal beam forming approach is proposed to maximize the received signal-to-noise ratio (SNR) of the secondary users, whereas the received interference power at the primary user is kept below a predefined threshold. The maximization of the SNR at the secondary users is derived as an objective function to fumulate a constrained beam forming optimization problem, which can be solved by the generalized singular-value decomposition in a closed form. Simulation results show that the performance can be improved further by either decreasing the uncertainty in channel coefficients or increasing the number of relay antennas.
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