There has been some interest in the Non-linear Frequency-Division Multiplexing (NFDM) in optical fibre communication systems, because it promises interference-free or weak-interference between channels in an optical routed network . NFDM scheme uses Non-linear Fourier Transform (NFT) to bring a time-domain signal into the non-linear frequency domain (NFD), where the spectra evolve in a linear manner during signal propagation in the fibre channel. The successful application of NFT relies heavily on the “channel’s integrability” that is only fulfilled by an ideal distribution-Raman amplification. However, most of the optical fibre links are amplified by Erbium-doped fibre amplifiers (EDFAs). The impact of the non-integrability in NFDM networks is unclear. In such a network, one key device is the Non-linear Add-drop Multiplexer (NADM) that adds or drops channels in the NFD .
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