Regeneration limit of classical Shannon capacity

Area of Science:

• Information Theory
• Optical Communications
• Nonlinear Systems

Background:

• Shannon's formula defines the limit for linear channels with additive white Gaussian noise.
• Regeneration, a nonlinear process, can surpass linear channel capacity but its impact on Shannon capacity is unquantified.
• All-optical signal regeneration is crucial for advanced communication systems.

Purpose of the Study:

• To propose a new method for designing regenerative transmission systems.
• To demonstrate that regenerative systems can achieve higher capacities than linear channels.
• To derive the regenerative Shannon limit, establishing an upper bound for regeneration efficiency.

Main Methods:

• Designing regenerative transmission systems using nonlinear elements.
• Applying Fourier transform for efficient regeneration of multilevel multidimensional signals.
• Deriving the theoretical upper bound of regeneration efficiency (regenerative Shannon limit).

Main Results:

• A novel method for designing regenerative transmission systems is proposed.
• Regenerative systems can achieve capacities exceeding the linear channel limit.
• The regenerative Shannon limit has been derived, quantifying regeneration efficiency.

Conclusions:

• Regeneration offers a pathway to exceed Shannon capacity limits in linear systems.
• The proposed Fourier transform method enables efficient regeneration of complex signals.
• This work quantifies the potential of regenerative systems in optical communications.