Upper Bound on the Capacity of the Nonlinear Schr\"odinger Channel

Mansoor I. Yousefi; Gerhard Kramer; Frank R. Kschischang

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arXiv · 1502.06455

Upper Bound on the Capacity of the Nonlinear Schr\"odinger Channel

Mansoor I. Yousefi·Gerhard Kramer·Frank R. Kschischang

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Abstract

It is shown that the capacity of the channel modeled by (a discretized version of) the stochastic nonlinear Schr\"odinger (NLS) equation is upper-bounded by $\log(1+\text{SNR})$ with $\text{SNR}=\mathcal P_0/\sigma^2(z)$, where $\mathcal P_0$ is the average input signal power and $\sigma^2(z)$ is the total noise power up to distance $z$. The result is a consequence of the fact that the deterministic NLS equation is a Hamiltonian energy-preserving dynamical system.

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Mansoor I. Yousefi, Gerhard Kramer, Frank R. Kschischang. 2015-02-23. Upper Bound on the Capacity of the Nonlinear Schr\"odinger Channel. https://arxiv.org/abs/1502.06455

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