研究目的
To characterize a notion of distance between constellation points for the nondispersive optical fiber and to design signal constellations the points of which are hard to be confused by the receiver.
研究成果
The paper proposes an adversarial model for the optical fiber channel and describes the necessary conditions for the energy-minimizer adversarial noise. It shows that the optimum noise trajectory shows different trends in different input-power regimes. The model can be used to design new fiber-optic communication schemes, although further research is needed to extend the model to consider dispersion and other types of adversarial effort.
研究不足
The per-sample channel model does not capture the spectral broadening of the signal due to the nonlinearity and may not be an accurate representation of the physics of the fiber channel. The study assumes that the adversarial noise trajectories are continuous functions of z, which may not cover all possible noise scenarios.
1：Experimental Design and Method Selection:
The study adopts a geometric approach to optimize constellations for the nondispersive optical fiber, formulating the problem of finding the minimum amount of noise energy that can render two different input points indistinguishable as a variational problem.
2：Sample Selection and Data Sources:
The input alphabet X and the output alphabet Y for the channel are both the complex plane C. The channel input x is described by the boundary condition q(0)=x. The channel output y is the value of the signal at z=L, i.e., y=q(L).
3：List of Experimental Equipment and Materials:
The propagation of an optical signal over a standard single mode fiber of length L with ideal distributed Raman amplification is described by the nonlinear Schr?dinger equation.
4：Experimental Procedures and Operational Workflow:
The study considers the energy of the adversarial noise as a measure of effort that the adversary makes to transform x to y. The distance between two points in X measures the required adversarial effort to make them indistinguishable at the output of the channel.
5：Data Analysis Methods:
The necessary conditions for the noise trajectory that has the minimum energy are described as a system of nonlinear differential equations, which are solved by numerical methods.
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