广度受约束的向量高斯式窃听通道:保密能力实现输入分布的属性
Antonino Favano1, Luca Barletta1, Alex Dytso2
1Dipartimento di Elettronica, Informazione e Bioingegneria, Politecnico di Milano, 20133 Milano, Italy.
Entropy (Basel, Switzerland)
|May 27, 2023
概括
本研究分析了高斯式窃听通道的保密能力. 它在峰值功率限制下确定最佳输入分布,特别是在高维通道的低振幅模式下.
科学领域:
- 信息理论 信息理论
- 无线通信无线通信
- 密码学 密码学 密码学 密码学
背景情况:
- 高斯式窃听通道是安全通信的基本模型.
- 峰值功率限制对于实际的系统设计至关重要.
- 了解最佳的输入分布是最大化保密能力的关键.
研究的目的:
- 为了确定在峰值功率限制下,n维高斯式窃听通道的保密能力.
- 描述球形输入分布最佳的低振幅模式.
- 分析大尺寸的秘密能力的非对称行为.
主要方法:
- 在峰值功率约束下对保密能力的分析.
- 确定最佳输入分布模式 (低振幅).
- 对于大n的峰值功率约束R ̄n的异面性表征.
- 为保密能力推导一个可计算的形式.
主要成果:
- 确定了最大的峰值功率约束R ̄n,其中均的球形输入分布是最佳的.
- 当n接近无限时,R ̄n的非对称值是基于噪声差异的特征.
- 机密能力是以计算可访问的格式提供.
- 对于标量案例 (n=1),最佳输入分布被证明是离散的.
结论:
- 该研究提供了对高维高斯式窃听通道的保密能力的全面分析.
- 这些发现提供了关于在功率限制下安全通信的最佳策略的见解.
- 低振幅模式和非对称行为的表征对于实际的系统设计至关重要.
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