Back-to-Back Performance of the Full Spectrum Nonlinear Fourier Transform and Its Inverse

In this paper, data-transmission using the nonlinear Fourier transform for jointly modulateddiscrete and continuous spectra is investigated. A recent method for purely discrete eigenvalueremoval at the detector is extended to signals with additional continuous spectral support. At first,the eigenvalues are sequentially detected and removed from the jointly modulated received signal.After each successful removal, the time-support of the resulting signal for the next iteration canbe narrowed, until all eigenvalues are removed. The resulting truncated signal, ideally containingonly continuous spectral components, is then recovered by a standard NFT algorithm. Numericalsimulations without a fiber channel show that, for jointly modulated discrete and continuous spectra,the mean-squared error between transmitted and received eigenvalues can be reduced using theeigenvalue removal approach, when compared to state-of-the-art detection methods. Additionally,the computational complexity for detection of both spectral components can be decreased when, bythe choice of the modulated eigenvalues, the time-support after each removal step can be reduced.Numerical simulations are also carried out for transmission over a Raman-amplified, lossy SSMFchannel. The mutual information is approximated and the eigenvalue removal method is shown toresult in achievable rate improvements.     «

In this paper, data-transmission using the nonlinear Fourier transform for jointly modulateddiscrete and continuous spectra is investigated. A recent method for purely discrete eigenvalueremoval at the detector is extended to signals with additional continuous spectral support. At first,the eigenvalues are sequentially detected and removed from the jointly modulated received signal.After each successful removal, the time-support of the resulting signal for the next iteration canbe narrowed, unt...     »