概率成形多级极化编码用于窃听信道
Probabilistic Shaped Multilevel Polar Coding for Wiretap Channel
AI总结：
针对高斯窃听信道中离散星座输入与高斯保密容量之间的差距，提出概率成形多级极化编码方案，优化输入分布并集成多级极化码，证明可达保密容量并满足安全条件，仿真验证优于均匀输入。
摘要：
窃听信道是物理层安全技术的基础模型，其中高斯窃听信道的保密容量已被证明可通过高斯输入实现。然而，高斯保密容量与采用传统均匀分布离散星座输入（如幅移键控（ASK）和正交幅度调制（QAM））时的保密速率之间仍存在差距。本文提出一种概率成形多级极化编码方案以弥合该差距。具体而言，我们解决了以ASK/QAM输入最大化保密速率的输入分布优化问题。数值结果表明，所得次优解仍能接近高斯保密容量。随后，我们研究了非对称离散无记忆窃听信道下多级极化码的极化现象，进而提出一种与概率成形集成的多级极化编码方案。证明该方案能以离散星座输入达到高斯窃听信道的保密容量，并满足可靠性条件和弱安全条件。此外，我们还研究了一种面向安全的极化码构造方法，该方法天然满足基于泄漏的安全条件。仿真结果表明，在高斯窃听信道和瑞利衰落窃听信道上，所提方案相比均匀星座输入情况实现了更高效、更安全的传输。
英文摘要：
A wiretap channel is served as the fundamental model of physical layer security techniques, where the secrecy capacity of the Gaussian wiretap channel is proven to be achieved by Gaussian input. However, there remains a gap between the Gaussian secrecy capacity and the secrecy rate with conventional uniformly distributed discrete constellation input, e.g. amplitude shift keying (ASK) and quadrature amplitude modulation (QAM). In this paper, we propose a probabilistic shaped multilevel polar coding scheme to bridge the gap. Specifically, the input distribution optimization problem for maximizing the secrecy rate with ASK/QAM input is solved. Numerical results show that the resulting sub-optimal solution can still approach the Gaussian secrecy capacity. Then, we investigate the polarization of multilevel polar codes for the asymmetric discrete memoryless wiretap channel, and thus propose a multilevel polar coding scheme integration with probabilistic shaping. It is proved that the scheme can achieve the secrecy capacity of the Gaussian wiretap channel with discrete constellation input, and satisfies the reliability condition and weak security condition. A security-oriented polar code construction method to natively satisfies the leakage-based security condition is also investigated. Simulation results show that the proposed scheme achieves more efficient and secure transmission than the uniform constellation input case over both the Gaussian wiretap channel and the Rayleigh fading wiretap channel.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
