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Frequency-domain adaptive MIMO filter with fractional oversampling using stochastic gradient descent for long-haul transmission over coupled 4-core fibers: erratum

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Abstract

This erratum corrects errors in Fig. 9(b) and Fig. 14 of our published paper [Opt. Express 31, 13104 (2023) [CrossRef]  ]. Other results, descriptions, and conclusions are not affected by this correction.

© 2023 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement

1. Correction

There is an error in calculating the input FFT size in units of samples for the fractional-spaced 9/8$\times$ oversampling frequency-domain adaptive 8$\times$8 MIMO filter in Fig. 9(b) of our paper [1]. The corrected figure should be:

 figure: Fig. 9.

Fig. 9. Dependence of pre-FEC BER on (a) the filter length in units of symbol period and (b) the input FFT size in number of samples. The results with the conventional 2$\times$ oversampling frequency-domain adaptive 8$\times$8 MIMO filter and with the fractional-spaced 9/8$\times$ oversampling frequency-domain adaptive 8$\times$8 MIMO filter for reception at 6240 km are plotted.

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There is a typographical error in the part of the constraint in Fig. 14. The corrected figure should be:

 figure: Fig. 14.

Fig. 14. Schematic diagram of even-odd 2$\times$ oversampling frequency-domain adaptive filter with overlap-save method. The bold lines across $H_{e}$ and $H_{o}$ indicate MIMO processes.

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Other results, descriptions, and conclusions are not affected by these corrections.

Funding

National Institute of Information and Communications Technology (01001); Japan Society for the Promotion of Science (JP22H00514).

Disclosures

The authors declare no conflicts of interest.

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

References

1. M. Arikawa and K. Hayashi, “Frequency-domain adaptive MIMO filter with fractional oversampling using stochastic gradient descent for long-haul transmission over coupled 4-core fibers,” Opt. Express 31(8), 13104–13124 (2023). [CrossRef]  

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Figures (2)

Fig. 9.
Fig. 9. Dependence of pre-FEC BER on (a) the filter length in units of symbol period and (b) the input FFT size in number of samples. The results with the conventional 2$\times$ oversampling frequency-domain adaptive 8$\times$8 MIMO filter and with the fractional-spaced 9/8$\times$ oversampling frequency-domain adaptive 8$\times$8 MIMO filter for reception at 6240 km are plotted.
Fig. 14.
Fig. 14. Schematic diagram of even-odd 2$\times$ oversampling frequency-domain adaptive filter with overlap-save method. The bold lines across $H_{e}$ and $H_{o}$ indicate MIMO processes.
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