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arXiv · 2004.02974

Successive Eigenvalue Removal for Multi-Soliton Spectral Amplitude Estimation

Alexander Span·Vahid Aref·Henning Buelow·Stephan ten Brink
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Abstract

Optical nonlinear Fourier transform-based communication systems require an accurate estimation of a signal's nonlinear spectrum, computed usually by piecewise approximation methods on the signal samples. We propose an algorithm, named successive eigenvalue removal, to improve the spectrum estimation of a multi-soliton pulse. It exploits a property of the Darboux transform that allows removing eigenvalues from the nonlinear spectrum. This results in a smaller pulse duration and smaller bandwidth. The spectral coefficients are estimated successively after removing the eigenvalues of a signal. As a beneficial application, we show that the algorithm decreases the computational complexity by iteratively reducing the pulse duration.

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Alexander Span, Vahid Aref, Henning Buelow, Stephan ten Brink. 2020-05-09. Successive Eigenvalue Removal for Multi-Soliton Spectral Amplitude Estimation. https://doi.org/10.1109/jlt.2020.2994156

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