Calculation of mutual information for nonlinear communication channel at large SNR

Abstract

Using the path-integral technique we examine the mutual information for the communication channel modelled by the nonlinear Schrödinger equation with additive Gaussian noise. The nonlinear Schrödinger equation is one of the fundamental models in nonlinear physics, and it has a broad range of applications, including fiber optical communications --- the backbone of the Internet. At large signal-to-noise ratio ($\mathrm{SNR}$) we present the mutual information through the path-integral which is convenient for the perturbative expansion in nonlinearity. In the limit of small noise and small nonlinearity we derive analytically the first nonzero nonlinear correction to the mutual information for the channel.

arXiv comment8 pages, 3 figures

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Cited by in corpus (3)

• Next-to-leading order corrections to capacity for nondispersive nonlinear optical fiber channel in intermediate power region
• The $\log \log$ growth of channel capacity for nondispersive nonlinear optical fiber channel in intermediate power range. Extension of the model
• Optimal input signal distribution for nonlinear optical fiber channel with small Kerr nonlinearity