Communication Using Eigenvalues of Higher Multiplicity of the Nonlinear Fourier Transform
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Eigenvalues of higher multiplicity of the Nonlinear Fourier Transform (NFT) are considered for information transmission over fiber optic channels. The effects of phase, time or frequency shifts on this generalized NFT are derived, as well as an expression for the signal energy. These relations are used to design transmit signals and numerical algorithms to compute the direct and inverse NFTs, and to numerically demonstrate communication using a soliton with one double eigenvalue.
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