Capacity Region Bounds for K-User Optical WDM Channels with Peak Power Constraints

Abstract

We study an optical WDM channel from an interference channel viewpoint. An achievable rate region that strictly outperforms treating interference as noise is presented, along with a capacity region outer bound.

Capacity Bounds for Optical WDM Channels with Peak Power Constraints

“…We also truncate the sums in (1) to −M ≤ t, l, m ≤ M to get the following approximate model: where γS m,m,0 k,w c m k,w for brevity. In [4], the XPM terms corresponding to c m k,w were assumed to be independent of w, which we correct here, thus allowing for frequency separation-dependent coupling between the channels. Now let C K denote the capacity region of the given system, i.e., the maximal set of jointly achievable rates (R 1 , R 2 , .…”

“…Multi-user information theoretic studies exist, but only for highly simplified models [2,3]. In [4], we investigated the set of simultaneously achievable rates for a realistic channel model for the first time, based on multi-user information theory. However, the channel model in [4] ignored the frequency separation between adjacent channels while modelling the strength of cross-channel interactions.…”

“…In [4], we investigated the set of simultaneously achievable rates for a realistic channel model for the first time, based on multi-user information theory. However, the channel model in [4] ignored the frequency separation between adjacent channels while modelling the strength of cross-channel interactions. Furthermore, the results in [4] were not validated via split-step Fourier (SSFM) simulations.…”

“…However, the channel model in [4] ignored the frequency separation between adjacent channels while modelling the strength of cross-channel interactions. Furthermore, the results in [4] were not validated via split-step Fourier (SSFM) simulations. The main contributions of this paper are: (i) a correction of the model in [4] to allow separation-dependent coupling between adjacent channels, and (ii) a validation of the results in [4] based on SSFM simulations.…”

“…Furthermore, the results in [4] were not validated via split-step Fourier (SSFM) simulations. The main contributions of this paper are: (i) a correction of the model in [4] to allow separation-dependent coupling between adjacent channels, and (ii) a validation of the results in [4] based on SSFM simulations. While the obtained results show improved lower bounds compared to treating interference as noise (TIN), the rates from simulations are smaller than that predicted by the model.…”