Information Transmission using the Nonlinear Fourier Transform, Part III: Spectrum Modulation

Abstract

Motivated by the looming "capacity crunch" in fiber-optic networks, information transmission over such systems is revisited. Among numerous distortions, inter-channel interference in multiuser wavelength-division multiplexing (WDM) is identified as the seemingly intractable factor limiting the achievable rate at high launch power. However, this distortion and similar ones arising from nonlinearity are primarily due to the use of methods suited for linear systems, namely WDM and linear pulse-train transmission, for the nonlinear optical channel. Exploiting the integrability of the nonlinear Schrödinger (NLS) equation, a nonlinear frequency-division multiplexing (NFDM) scheme is presented, which directly modulates non-interacting signal degrees-of-freedom under NLS propagation. The main distinction between this and previous methods is that NFDM is able to cope with the nonlinearity, and thus, as the the signal power or transmission distance is increased, the new method does not suffer from the deterministic cross-talk between signal components which has degraded the performance of previous approaches. In this paper, emphasis is placed on modulation of the discrete component of the nonlinear Fourier transform of the signal and some simple examples of achievable spectral efficiencies are provided.

Updated version of IEEE Transactions on Information Theory, vol. 60, no. 7, pp. 4346--4369, July, 2014

References in corpus (1)

• On the Per-Sample Capacity of Nondispersive Optical Fibers

Cited by in corpus (16)

• Dual polarization nonlinear Fourier transform-based optical communication system
• Nonlinear inverse synthesis for high spectral efficiency transmission in optical fibers
• A survey on fiber nonlinearity compensation for 400 Gbps and beyond optical communication systems
• Polarization-Division Multiplexing Based on the Nonlinear Fourier Transform
• Fast Numerical Nonlinear Fourier Transforms
• Why Noise and Dispersion may Seriously Hamper Nonlinear Frequency-Division Multiplexing
• Nonlinear Inverse Synthesis for Optical Links with Distributed Raman Amplification
• Signaling on the Continuous Spectrum of Nonlinear Optical fiber
• Exponential Fourth Order Schemes for Direct Zakharov-Shabat problem
• Introducing phase jump tracking -- a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem
• Capacity Lower Bounds of the Noncentral Chi-Channel with Applications to Soliton Amplitude Modulation
• Time-Bandwidth Product Perspective for Multi-Soliton Phase Modulation
• Numerical Methods for the Inverse Nonlinear Fourier Transform
• A Lower Bound on the per Soliton Capacity of the Nonlinear Optical Fibre Channel
• Demodulation and Detection Schemes for a Memoryless Optical WDM Channel
• Statistics of the Eigenvalues of a Noisy Multi-Soliton Pulse