2021
DOI: 10.1070/qel17655
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Neural network for calculating direct and inverse nonlinear Fourier transform

Abstract: A neural network architecture is proposed that allows a continuous nonlinear spectrum of optical signals to be predicted and an inverse nonlinear Fourier transform (NFT) to be performed for signal modulation. The average value of the relative error in predicting the continuous spectrum by the neural network when calculating the direct NFT is found to be 2.68 × 10-3, and the average value of the relative error in predicting the signal for the inverse NFT is 1.62 × 10-4.

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Cited by 5 publications
(4 citation statements)
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“…denotes the center of the power spectrum of the h th mode; ( ) ˆh  denotes the Wiener filter of the current residual. The VMD algorithm continuously updates each mode in the frequency domain, and then converts it to the time domain by using the nonlinear Fourier transform [10]. The steps of updating the mode components are as follows:…”
Section: Signal Decomposition Based On Variational Modal Decompositio...mentioning
confidence: 99%
See 1 more Smart Citation
“…denotes the center of the power spectrum of the h th mode; ( ) ˆh  denotes the Wiener filter of the current residual. The VMD algorithm continuously updates each mode in the frequency domain, and then converts it to the time domain by using the nonlinear Fourier transform [10]. The steps of updating the mode components are as follows:…”
Section: Signal Decomposition Based On Variational Modal Decompositio...mentioning
confidence: 99%
“…( ) ( ) (10) where j E denotes the distance between the j th moth and the i th flame; c is the defined logarithmic spiral shape constant and the path coefficient…”
Section: Optimization Of Vmd Algorithm Based On Moth-flame Optimizati...mentioning
confidence: 99%
“…Furthermore, the previous work only demonstrated networks for a fixed signal power without considering fibre loss and in the case of lump amplification. While this paper was being reviewed, two new articles were published 27 , 28 . Both of them were aimed at obtaining the nonlinear spectrum of a signal.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, the training data does not include variation in signal propagation distance, absorption loss and variation in power, hence the generality is hard to evaluate. In the second work 28 , a network architecture similar to the one in the work 29 is used for both direct and inverse NFT. However, this article did not give any details on the training data.…”
Section: Introductionmentioning
confidence: 99%