在高SNR时,在添加式白高斯噪声通道上的峰值限制和带限制信号容量的几何边界
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Updated: Jan 7, 2026

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Quasi-light Storage for Optical Data Packets
Published on: February 6, 2014
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Michael Peleg1, Shlomo Shamai1
1Faculty of Electrical and Computer Engineering, Technion-Israel Institute of Technology, Technion City, Haifa 32000, Israel.
Entropy (Basel, Switzerland)
|December 24, 2025
概括
我们开发了一个新的信号容量的上限,通过具有峰值功率限制的添加式白高斯噪声通道传输信号. 这一界限在高信号噪声比率 (SNR) 上是紧密的,并且改进了现有的方法.
科学领域:
- 信息理论 信息理论
- 数字通信数字通信
- 信号处理 信号处理
背景情况:
- 添加式白高斯噪声 (AWGN) 频道是通信系统的基础.
- 峰值功率限制对于实际信号传输至关重要,影响系统性能.
- 在峰值功率限制下,现有的通道容量的上限可能不严格或不易计算.
研究的目的:
- 为了获得新的,可计算的基于几何的通道容量的上限,用于峰值功率限制和带限信号.
- 分析新边界的密度,特别是在高信号噪声比 (SNR) 的情况下.
- 与平均功率限制相比,评估峰值功率限制所造成的功率效率损失.
主要方法:
- 在尼奎斯特率样本中使用传输信号的体积和形状来开发可计算的基于几何的上限.
- 执行特定信号结构的数值评估,如循环前辅助频域均 (CP-FDE) 和OFDM.
- 将新的上限与现有的下限进行比较,以确定异常高SNR的容量.
主要成果:
- 新的上限在高SNR时被证明是紧密的,超过了以前的上限.
- 对于CP-FDE和OFDM信号的高SNR容量,对长度高达100尼奎斯特间隔的序列长度进行了数值评估.
- 由于峰值功率限制,量化了大约7.5dB (低通道) 和5.4dB (带通道) 的功率效率罚款.
结论:
- 拟议的基于几何的上限为在峰值功率限制下提供了更紧密,更可计算的道容量的测量.
- 这些发现表明,CP-FDE和OFDM的衍生能力结果可能超出特定结构和序列长度.
- 该研究量化了通信系统中峰值功率限制和功率效率之间的实际权衡.
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