Multiband cognitive radio (CR) signalling allows CR networks to efficiently take advantage of the unused frequency bands. On the other hand, joint spectrum sensing and power allocation in CR systems has been shown to enable higher opportunities for CR transmission. In this work, the authors perform joint spectrum sensing and resource allocation (power and bandwidth) in a multiband CR system. This is achieved by defining an optimisation problem, which is formulated to maximise the average opportunistic CR data rate under constraints on interference, power budget, and total available bandwidth leading to a non-convex optimisation problem. As the original formulated optimisation problem is inherently non-convex, they convert it into a convex problem where the optimal solution is obtained using the Lagrange multipliers method and linear programming. For performance comparison, they consider the classical method based on equal bandwidth allocation for each subchannel. They provide several numerical results to contrast the performance of the proposed method compared to the classical method in terms of the average achievable CR data rate.

中文翻译：

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多频带认知无线电系统的联合频谱感知，功率和带宽分配

多频带认知无线电（CR）信令允许CR网络有效利用未使用的频带。另一方面，CR系统中的联合频谱感测和功率分配已显示为CR传输提供了更高的机会。在这项工作中，作者在多频带CR系统中执行联合频谱感测和资源分配（功率和带宽）。这是通过定义一个优化问题来实现的，该问题被制定为在干扰，功率预算和总可用带宽的约束下最大化平均机会CR数据速率，从而导致非凸优化问题。由于最初公式化的优化问题本质上是非凸的，因此他们将其转换为凸问题，在此问题中，可使用拉格朗日乘数法和线性规划获得最优解。为了进行性能比较，他们考虑了基于每个子信道相等带宽分配的经典方法。他们提供了一些数值结果，以就可达到的平均CR数据速率而言，与传统方法相比，该方法的性能得到了对比。