In this paper, we investigate the impact of diversity and antenna correlations on the secrecy capacity and outage performance of a cognitive radio multicast network over Nakagami-m fading channels analytically. The proposed network consists of single primary and secondary user, multiple primary and secondary receivers, and multiple eavesdroppers. It is assumed that each user is equipped with single antenna while all the primary and secondary receivers, and eavesdroppers are equipped with multiple antennas. The primary and secondary users transmit their common messages to the respective receivers in the presence of multiple eavesdroppers. A mathematical model is developed to ensure successful reception of confidential information to the primary receivers protecting the activities of eavesdroppers neglecting the effect of interference due to secondary user. In order to analyze the security of the proposed model, closed-form analytical expressions have been derived for the secrecy multicast capacity, the secure outage probability for multicasting and the probability of non-zero secrecy multicast capacity. Analytical results are justified via Monte-Carlo simulations.

在本文中，我们研究了多样性的保密能力和认知无线电组播网络的中断性能超过Nakagami-的影响和天线相关米分析通道衰落。提议的网络由单个主要和次要用户，多个主要和次要接收者以及多个窃听者组成。假设每个用户都配备了单个天线，而所有主要和次要接收器以及窃听者都配备了多个天线。在存在多个窃听者的情况下，主要用户和次要用户将其公共消息发送到相应的接收者。建立了数学模型，以确保成功地将秘密信息接收到主要接收者，从而保护了窃听者的活动，而忽略了次要用户造成的干扰影响。为了分析所提出模型的安全性，针对秘密多播容量推导了封闭形式的解析表达式，多播的安全中断概率和非零多播容量的概率。通过蒙特卡洛模拟证明分析结果是合理的。