分布式放大无色散光纤信道的自相关函数
信息论
2018-01-03 v2 math.IT
摘要
高功率光纤维信号表现出频谱展宽，似乎限制容量。为研究频谱展宽，推导了在简化光纤模型下给定输入信号时输出信号的自相关函数，该模型具有零色散、分布式光放大(OA)和理想空间噪声过程。自相关函数用于上限限定带限或时间分辨率受限接收机的输出功率，从而限定频谱展宽和具有热噪声的接收机容量。输出功率至多随发射功率的平方根缩放，因此容量至多随发射功率对数的二分之一缩放。传播信号带宽至少随发射功率的平方根缩放。然而，实践中OA带宽应超过信号带宽以补偿衰减。因此，存在一个发射功率阈值，超过该阈值光纤模型失去实际意义。尽管如此，对于数学模型，当OA带宽随发射功率平方根缩放时，发展了容量的上界，此时容量至多随发射功率的四次方根的倒数缩放。
引用
@article{arxiv.1705.00454,
title = {Autocorrelation Function for Dispersion-Free Fiber Channels with Distributed Amplification},
author = {Gerhard Kramer},
journal= {arXiv preprint arXiv:1705.00454},
year = {2018}
}
备注
Accepted for publication in the IEEE Trans. Inf. Theory. The main changes are in Sec. III-D: the noise (35), which is based on (33), does not give jointly Wiener spatial processes that are needed for analysis. However, Appendix A points out that the noise in (33) is itself an idealization. We suspect that the capacity bounds for the idealized case provide insight on the general case