Simplified high-order Volterra series transfer function for optical transmission links

Year: 2017

Authors: Gagni M., Guiomar F.P., Wabnitz S., Pinto A.N.

Autors Affiliation: Instituto de Telecomunicações, Aveiro, 3810-193, Portugal; Dipartimento di Ingegneria dell\’Informazione, Università di Brescia, Via Branze, 38, Brescia, 25123, Italy; Dipartimento di Elettronica e Telecomunicazioni, Politecnico di Torino, Torino, 10129, Italy; Department of Electronics, Telecommunications and Informatics, University of Aveiro, Aveiro, 3810-193, Portugal

Abstract: We develop a simplified high-order multi-span Volterra series transfer function (SH-MS-VSTF), basing our derivation on the well-known third-order Volterra series transfer function (VSTF). We notice that when applying an approach based on a recursive method and considering the phased-array factor, the order of the expression for the transfer function grows as 3 raised to the number of considered spans. By imposing a frequency-flat approximation to the higher-order terms that are usually neglected in the commonly used VSTF approach, we are able to reduce the overall expression order to the typical third-order plus a complex correction factor. We carry on performance comparisons between the purposed SH-MS-VSTF, the well-known split-step Fourier method (SSFM), and the third-order VSTF. The SH-MS-VSTF exhibits a uniform improvement of about two orders of magnitude in the normalized mean squared deviation with respect to the other methods. This can be translated in a reduction of the overall number of steps required to fully analyze the transmission link up to 99.75% with respect to the SSFM, and 98.75% with respect to the third-order VSTF, respectively, for the same numerical accuracy.

Journal/Review: OPTICS EXPRESS

Volume: 25 (3)      Pages from: 2446  to: 2459

More Information: European Commission, EC, 653412. Federación Española de Enfermedades Raras, FEDER, UID/EEA/50008/2013. – This work was partially funded by FCT/MEC through national funds and when applicable co-funded by FEDER – PT2020 partnership agreement under the project UID/EEA/50008/2013 (action SoftTransceiver), and by the European Commission through a Marie Sk?odowska-Curie individual fellowship, project Flex-ON (653412).
KeyWords: Light transmission, Correction factors; Higher order terms; Numerical accuracy; Optical transmission link; Orders of magnitude; Performance comparison; Recursive methods; Split-Step Fourier Method, Transfer functions
DOI: 10.1364/OE.25.002446

Citations: 5
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