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Stability of the Full Spectrum Nonlinear Fourier Transform

With the seemingly inevitable “capacity crunch” for state-of-the-art fiber optical systems, alternatives to wavelength-division-multiplexing are widely discussed in the community. Recently, modulation schemes based on the nonlinear Fourier transform have been proposed, where the transmit signal is generated by modulating both the continuous and discrete nonlinear spectrum. This full spectrum nonlinear Fourier transform algorithm and its inverse are investigated and existing methods are extended to modulation of the entire nonlinear spectrum.