核心概念
The core message of this article is to derive the upper and lower bounds for the optimal average error probability of optical fiber MIMO systems with finite blocklength, considering the Jacobi MIMO channel model that captures the nearly lossless propagation and crosstalk in optical fibers.
要約
The article studies the fundamental limits of optical fiber multicore/multimode MIMO systems in the finite blocklength (FBL) regime, where the coding rate is a perturbation within O(1/√ML) of the capacity.
Key highlights:
The Jacobi MIMO channel model is used to capture the nearly lossless propagation and crosstalk in optical fibers.
A central limit theorem (CLT) is established for the information density in the asymptotic regime where the number of transmit, receive, and available channels, as well as the blocklength, go to infinity at the same pace.
Closed-form upper and lower bounds are derived for the optimal average error probability with the concerned rate, utilizing the CLT for information density.
The derived bounds degenerate to those for Rayleigh channels when the number of available channels approaches infinity.
High SNR analysis shows that a larger number of available channels results in a larger error probability.
Numerical results validate the accuracy of the theoretical bounds and show they are closer to the performance of practical LDPC codes than outage probability.
統計
The article does not contain any explicit numerical data or statistics to support the key logics. The analysis is primarily theoretical, deriving analytical bounds and insights.
引用
The article does not contain any striking quotes that support the key logics.