Communication Using Eigenvalues of Higher Multiplicity of the Nonlinear Fourier Transform.

Eigenvalues of higher multiplicity of the Nonlinear Fourier Transform (NFT)are considered for information transmission over fiber optic channels. Theeffects 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 todesign transmit signals and numerical algorithms to compute the direct andinverse NFTs, and to numerically demonstrate communication using a soliton withone double eigenvalue.