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对于具有内存的AGN通道的反能力的新公式:一个时间域足够的统计方法
Charalambos D Charalambous1, Christos Kourtellaris1, Stelios Louka1
1Department of Electrical and Computer Engineering, University of Cyprus, P.O. Box 20537, Nicosia CY-1678, Cyprus.
Entropy (Basel, Switzerland)
|February 26, 2025
概括
这项研究澄清了对附加高斯噪声通道的反能力计算,引入了新的时间域方法,并纠正了关于n块反能力公式的先前文献.
科学领域:
- 信息理论 信息理论
- 通信系统 通信系统
- 随机过程 随机过程
背景情况:
- 在Cover和Pombra (1989) 之前对增材高斯噪声 (AGN) 通道的工作中,他们引入了n块反容量公式.
- 最近的文献已经确定了这个公式及其非对称极限的时间域和频域特征的技术问题.
- 关于时间域结果存在混,特别是对于编码器和解码器的噪声状态知识.
研究的目的:
- 在n块反容量公式的Cover和Pombra特性上得出新的结果.
- 澄清对AGN通道的时间域反能力结果存在的混.
- 提供反容量公式及其异面极限的严格分析.
主要方法:
- 导出新的等价时间域序列表征,用于AGN通道的反能力与非静止和非ergodic高斯噪声.
- 将n块容量公式表达为两个一般化矩阵差异里卡蒂方程 (DREs) 的函数.
- 对一般化DREs的解决方案的收性质的分析,以确定异交极限的存在.
主要成果:
- 产生了对反能力的新等效序列表征,将最佳输入过程作为足够统计和高斯直角创新的函数.
- 证明n块容量公式是两个通用的DRE的函数,与以前的单个DRE方法不同.
- 非对称反能力极限的存在与这两个概括的DREs的解决方案的趋同有关.
结论:
- 这项工作澄清了AGN通道反能力特征的技术问题.
- 在反代码和噪音实现方面,在特定的技术条件下,衍生的时间域公式被证明是正确的.
- 该研究为稳定和不稳定的高斯噪声存在非对称极限提供了必要和/或足够的条件.
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