Signal Processing Techniques for Optical Transmission Based on Eigenvalue Communication

Koch, Jonas; Chan, Ken; Schaeffer, Christian; Pachnicke, Stephan

doi:10.1109/jstqe.2020.3045222

Cited by 17 publications

(7 citation statements)

References 40 publications

(81 reference statements)

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“…CFO in particular becomes trivial after applying the NFT, as it then consists in simply translating the real part of the eigenvalues. Before demodulation, it is possible to employ linear or nonlinear minimum mean square error (N)LMMSE [32], [33] or ANN [33] equalization to increase the maximum reach of the system. Finally, the received signal is demodulated and the bit error ratio (BER) calculated.…”

Section: Methodsmentioning

confidence: 99%

“…10 shows the BER as a function of distance before and after equalization. Several equalization algorithms have been implemented to post-process the received signal, including LMMSE, 2nd order NLMMSE [32], [33] and ANN that are applied to data preprocessed by the NFT [33], see Appendix II.…”

Section: System Measurementsmentioning

confidence: 99%

“…Since K is generally taken to be small, the total amount of coefficients can be kept small when compared to conventional nonlinear (e.g., Volterra) filters employed in dispersive communication systems. A further step to refine the equalization is the application of ANNs [33]. ANN receivers in the framework of the NFT can be used in the time domain to fully replace the NFT at the Rx [47], or as equalizers that work with the eigenvalues and NFCs computed by the NFT.…”

Section: Appendix II Equalization Techniquesmentioning

confidence: 99%

See 2 more Smart Citations

Silicon Photonic Integrated Circuits for Soliton Based Long Haul Optical Communication

Koch

Schulz

Mueller

et al. 2022

J. Lightwave Technol.

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We demonstrate a silicon photonic transmitter for soliton-based communications enabling the interleaving of QPSK and APSK modulated soliton pulses overlapping in both the time and frequency domains. The nonlinear Fourier transform is used to both determine adequate soliton launch conditions and facilitate nonlinear equalization at the receiver. A spectral efficiency of 0.5 b/s/Hz per polarization is reached over a 5400 km transmission distance and constitutes, to the best of our knowledge, a record for soliton transmission over such long distances. Linear and nonlinear minimum mean square error and artificial neural network-based equalizers are also experimentally benchmarked, with artificial neural networks resulting in particularly effective equalization in this system.

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Section: Methodsmentioning

confidence: 99%

Section: System Measurementsmentioning

confidence: 99%

Section: Appendix II Equalization Techniquesmentioning

confidence: 99%

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Silicon Photonic Integrated Circuits for Soliton Based Long Haul Optical Communication

Koch

Schulz

Mueller

et al. 2022

J. Lightwave Technol.

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“…LMMSE algorithm is proposed to reduce noise on 𝑏(𝜆) and 𝜆 [26,28,29]. Nonlinear Volterra filters are also studied [30]. Periodic NFT/INFT is proposed to mitigate inter symbol interference [31,32].…”

Section: Multi-symbol Digital Signal Processing Techniques For Discre...mentioning

confidence: 99%

Multi-Symbol Digital Signal Processing Techniques for Discrete Eigenvalue Transmissions Based on Nonlinear Fourier Transform

Zhou

Sun

et al. 2021

J. Lightwave Technol.

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Optical communications based on Nonlinear FourierTransform (NFT) and digital coherent transceivers are proposed as a new theoretical framework for communications over the nonlinear optical fiber channel. For discrete eigenvalue transmissions (or soliton transmissions), one seeks to encode as much information as possible in each degree of freedom and shorten the distance between neighboring pulses to increase the overall bit rate. However, such attempts would result in nonlinear inter-symbol interference (ISI) across multiple symbols and significantly degrade transmission performance. In this paper, we investigated joint modulation of discrete eigenvalue 𝝀 and 𝒃coefficents 𝒃(𝝀) and developed a suite of multi-symbol digital signal processing (DSP) techniques to exploit the statistical correlations between the continuous and discrete eigenvalues and 𝒃 -coefficents to mitigate nonlinear distortions and improve detection performance. This include 1) jointly modulating both 𝝀 and 𝒃(𝝀) of pairs of 1-solitons so that the mean value of 𝝀 for solitons with odd index is 𝜶 + 𝟏𝒊 while it is −𝜶 + 𝟏𝒊 for solitons with even index. This is followed by decoding superimposed received waveforms as 2-solitons with twice the INFT processing time window; 2) linear minimum mean squared error (LMMSE) estimation filters to mitigate noise in discrete eigenvalue 𝝀 using continuous eigenvalue; 3) multi-symbol (MS) LMMSE filters to mitigate noise in 𝒃(𝝀) using discrete eigenvalue noise and 4) approximate the received signal distributions of 𝝀 and 𝒃(𝝀) as Gaussians with mean and covariance matrices obtained empirically from experiments followed by Maximum Likelihood (ML) detection for each symbol or multi-symbol (MS)-joint ML detection of 2-soliton signals. We jointly modulate 𝝀 with 16-QAM and 𝒃(𝝀) with 16-APSK and a record single-polarization discrete eigenvalue transmission of 64 Gb/s (net 54 Gb/s) over 1200 km is experimentally demonstrated with the proposed multi-symbol DSP algorithms. 1

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“…The output signal of the PIC is amplified with an EDFA and fed into a fiber loop consisting of four spans of 50 km True-Wave non-zero-dispersion-shifted fiber (NZDSF) and four EDFAs. Finally, the signal is detected by a coherent receiver, digitized, equalized [55] and the information recovered to calculate the bit error ratio (BER). More details on the system architecture, including the PIC's block diagram, device characteristics and link budget can be found in [52]- [54], [56].…”

Section: Integrated Nonlinear Fourier Transform Transceivermentioning

confidence: 99%

Optically Enabled ADCs and Application to Optical Communications

Zazzi

Müller

Weizel

et al. 2021

IEEE Open J. Solid-State Circuits Soc.

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Electrical-optical signal processing has been shown to be a promising path to overcome the limitations of state-of-theart all-electrical data converters. In addition to ultra-broadband signal processing, it allows leveraging ultra-low jitter mode-locked lasers and thus increasing the aperture jitter limited effective number of bits at high analog signal frequencies. In this paper, we review our recent progress towards optically enabled time-and frequency-interleaved analog-to-digital converters, as well as their monolithic integration in electronic-photonic integrated circuits. For signal frequencies up to 65 GHz, an optoelectronic track-andhold amplifier based on the source-emitter-follower architecture is shown as a power efficient approach in optically enabled BiCMOS technology. At higher signal frequencies, integrated photonic filters enable signal slicing in the frequency domain and further scaling of the conversion bandwidth, with the reconstruction of a 140 GHz optical signal being shown. We further show how such optically enabled data converter architectures can be applied to a nonlinear Fourier transform based integrated transceiver in particular and discuss their applicability to broadband optical links in general.

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Signal Processing Techniques for Optical Transmission Based on Eigenvalue Communication

Cited by 17 publications

References 40 publications

Silicon Photonic Integrated Circuits for Soliton Based Long Haul Optical Communication

Silicon Photonic Integrated Circuits for Soliton Based Long Haul Optical Communication

Multi-Symbol Digital Signal Processing Techniques for Discrete Eigenvalue Transmissions Based on Nonlinear Fourier Transform

Optically Enabled ADCs and Application to Optical Communications

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