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Simplified high-order Volterra series transfer function for optical transmission links
Optics Express
|March 10, 2018
Summary
We introduce a simplified high-order multi-span Volterra series transfer function (SH-MS-VSTF) for improved transmission link analysis. This method significantly enhances accuracy and reduces computational steps compared to existing approaches.
Area of Science:
- Optical communications
- Nonlinear system modeling
- Signal processing
Background:
- Accurate modeling of nonlinear effects in optical transmission links is crucial for performance analysis.
- Traditional methods like the split-step Fourier method (SSFM) and third-order Volterra series transfer function (VSTF) have limitations in accuracy and computational efficiency.
- Higher-order Volterra series expansions can become computationally prohibitive due to rapidly increasing complexity with the number of spans.
Purpose of the Study:
- To develop a simplified high-order multi-span Volterra series transfer function (SH-MS-VSTF) for efficient and accurate analysis of optical transmission links.
- To reduce the computational complexity of high-order Volterra series transfer functions while maintaining high accuracy.
- To compare the performance of the proposed SH-MS-VSTF against established methods like SSFM and third-order VSTF.
Main Methods:
- Derivation of the SH-MS-VSTF based on the third-order VSTF, incorporating a recursive method and phased-array factor.
- Application of a frequency-flat approximation to higher-order terms, reducing the overall expression order.
- Performance evaluation through comparative analysis with the split-step Fourier method (SSFM) and the third-order VSTF using normalized mean squared deviation.
Main Results:
- The SH-MS-VSTF demonstrates a uniform improvement of approximately two orders of magnitude in normalized mean squared deviation compared to SSFM and third-order VSTF.
- Significant reduction in the number of computational steps required for transmission link analysis: up to 99.75% reduction compared to SSFM and 98.75% compared to third-order VSTF for equivalent numerical accuracy.
Conclusions:
- The proposed SH-MS-VSTF offers a computationally efficient and highly accurate alternative for analyzing optical transmission links with nonlinear effects.
- The frequency-flat approximation is effective in simplifying high-order models without sacrificing significant accuracy.
- SH-MS-VSTF provides a substantial advantage in terms of speed and resource requirements for system design and optimization.
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