论文标题
在有限的区块长度方面的安全可靠通信的联合优化
Joint Optimization for Secure and Reliable Communications in Finite Blocklength Regime
论文作者
论文摘要
为了实现具有高频谱效率和安全性的超可靠的低潜伏期通信，我们研究了与多个用户的下行链路通信的联合优化问题，并在有限的区块长度（FBL）制度中进行了窃听。我们制定了多目标优化问题，以通过开发安全的预言器并最大程度地减少最大误差概率和信息泄漏率来最大化总和保密率。主要的挑战是由复杂的多目标问题，不可扣除的后退因子，来自FBL假设，非跨性别和非平滑度的秘密率以及相互交织的优化变量。为了应对这些挑战，我们通过将问题分解为两个阶段，采用交替的优化方法：安全的预编码设计，以及最大的错误概率和信息泄漏率最小化。在第一阶段，我们获得了保密率的下限，并得出了一阶Karush-kuhn-tucker（KKT）条件，以识别相对于预码器的局部最佳解决方案。将条件解释为广义特征值问题，我们通过使用基于电源迭代的方法来解决该问题。在第二阶段，我们采用了加权和方法，并根据给定预编码器的误差概率和泄漏率得出KKT条件。模拟验证了所提出的算法。
To realize ultra-reliable low latency communications with high spectral efficiency and security, we investigate a joint optimization problem for downlink communications with multiple users and eavesdroppers in the finite blocklength (FBL) regime. We formulate a multi-objective optimization problem to maximize a sum secrecy rate by developing a secure precoder and to minimize a maximum error probability and information leakage rate. The main challenges arise from the complicated multi-objective problem, non-tractable back-off factors from the FBL assumption, non-convexity and non-smoothness of the secrecy rate, and the intertwined optimization variables. To address these challenges, we adopt an alternating optimization approach by decomposing the problem into two phases: secure precoding design, and maximum error probability and information leakage rate minimization. In the first phase, we obtain a lower bound of the secrecy rate and derive a first-order Karush-Kuhn-Tucker (KKT) condition to identify local optimal solutions with respect to the precoders. Interpreting the condition as a generalized eigenvalue problem, we solve the problem by using a power iteration-based method. In the second phase, we adopt a weighted-sum approach and derive KKT conditions in terms of the error probabilities and leakage rates for given precoders. Simulations validate the proposed algorithm.
