论文标题
秘密通信的最佳概率星座塑造
Optimal Probabilistic Constellation Shaping for Covert Communications
论文作者
论文摘要
在本文中,我们从实用的角度研究了秘密通信系统的最佳概率星座塑形设计。与常规的秘密通信不同,我们提出了不可启动的星座调制方案,以进一步提高秘密率。具体而言,我们首次为实用离散星座输入而得出秘密率表达式。然后,我们通过共同优化星座分布和功率分配来研究秘密率最大化问题。特别是,提出了一种近似梯度下降方法,以获得最佳的概率星座塑形。为了在计算复杂性和传输性能之间取得平衡,我们进一步开发了一个框架,该框架可以最大程度地了解可实现的速率,在这种速率上可以使用Frank-Wolfe方法有效地解决最佳概率星座形状问题。广泛的数值结果表明,优化的概率星座塑造策略可在最先进的方案中获得可实现的秘密率的显着增长。
In this paper, we investigate the optimal probabilistic constellation shaping design for covert communication systems from a practical view. Different from conventional covert communications with equiprobable constellations modulation, we propose nonequiprobable constellations modulation schemes to further enhance the covert rate. Specifically, we derive covert rate expressions for practical discrete constellation inputs for the first time. Then, we study the covert rate maximization problem by jointly optimizing the constellation distribution and power allocation. In particular, an approximate gradient descent method is proposed for obtaining the optimal probabilistic constellation shaping. To strike a balance between the computational complexity and the transmission performance, we further develop a framework that maximizes a lower bound on the achievable rate where the optimal probabilistic constellation shaping problem can be solved efficiently using the Frank-Wolfe method. Extensive numerical results show that the optimized probabilistic constellation shaping strategies provide significant gains in the achievable covert rate over the state-of-the-art schemes.