Statistics of the Eigenvalues of a Noisy Multi-Soliton Pulse
Javier Garcia, Vahid Aref
TL;DR
This paper introduces a new Fourier collocation-based method to analyze the statistical behavior of eigenvalues in noisy multi-soliton pulses within NFDM systems, addressing a key open problem.
Contribution
The paper presents a novel computational approach for eigenvalue statistics in noisy multi-soliton pulses, advancing understanding in NFDM system analysis.
Findings
Provides a new method for eigenvalue statistics computation
Addresses the impact of AWGN on nonlinear spectrum
Enhances analysis capabilities for NFDM systems
Abstract
For Nonlinear-Frequency Division-Multiplexed (NFDM) systems, the statistics of the received nonlinear spectrum in the presence of additive white Gaussian noise (AWGN) is an open problem. We present a novel method, based on the Fourier collocation algorithm, to compute these statistics.
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