Motivated by the current demand for improvements in transmission rate and energy efficiency of random wireless cellular networks, we investigate the theoretical model of random cognitive radio network in Rayleigh-lognormal fading environment. In such a network, we derive an analytical expression for the connection probability, transmission rate, and energy efficiency of a secondary network in a single-tier downlink scenario, considering the probabilities of unoccupied channel selection and of successful transmission, where source-destination pairs are randomly located according to Poisson point processes. Moreover, we approach the problem of optimization of transmission rate and energy efficiency using a required connection probability constraint to improve the system performance. Our numerical results indicate that there exists an optimal combination of transmission power and secondary transmitter density where transmission rate and energy efficiency are maximized.

基于当前对改进随机无线蜂窝网络的传输速率和能量效率的需求的动机，我们研究了瑞利-对数正态衰落环境中的随机认知无线电网络的理论模型。在这样的网络中，我们在考虑源-目的地对未占用信道选择和成功传输的概率的情况下，得出了单层下行链路情况下辅助网络的连接概率，传输速率和能效的解析表达式。根据泊松点过程随机定位。此外，我们使用所需的连接概率约束来解决传输速率和能源效率的优化问题，以提高系统性能。