On the Efficient Implementation of the Multiband Joint Detection Framework for Wideband Spectrum Sensing in Cognitive Radio Networks

An efficient and low-complexity algorithm for implementing a newly proposed wideband spectrum sensing framework in cognitive radio systems is presented. The framework which is known as multiband joint detection identifies suitable secondary transmission opportunities while protecting the primary network from harmful interference imposed by the secondary network. It has previously been demonstrated that the optimization problem obtained from the framework can be made convex if certain practical constraints are applied. In order to have a more insightful view of the optimization process and make the implementation of the framework more time- and cost-effective, an efficient algorithm which searches for the optimal solution with much lower complexity compared to other commonly used numerical algorithms is proposed. It is established that the iteration-complexity and the complexity-per-iteration of the proposed algorithm increases linearly with the number of optimization variables (i.e. the number of narrowband channels). The proposed algorithm is evaluated via simulation and is shown to obtain the optimal solution quickly and efficiently.