Experimental Demonstration of 8-Dimensional Voronoi Constellations with 65,536 and 16,777,216 Symbols

Mirani, Ali; Vijayan, Kovendhan; He, Zonglong; Shen, Li; Agrell, Erik; Schröder, Jochen; Andrekson, Peter A.; Karlsson, Magnus

doi:10.1109/ecoc52684.2021.9605988

Cited by 3 publications

(8 citation statements)

References 18 publications

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“…In general, standard DSP algorithms designed for QAM work for VCs as well without modification. In [20], a pilot-based DSP algorithm described in [33] has been used for transmission of VCs in experiments.…”

Section: Performance Analysismentioning

confidence: 99%

“…VCs were first studied for fiber communications in [18], where Mirani et al reported significant uncoded bit error rate (BER) gains of VCs over QAM transmitted in a wavelengthdivision multiplexing (WDM) system. Later in [20], power gains of VCs were demonstrated in experiments for a 80 km single-channel transmission.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, different from the work in [18] and [20], we investigate the performance of another type of VC with a cubic coding lattice in both single-channel and WDM simulations. The considered VCs have different numbers of dimensions, shaping lattices, and spectral efficiencies.…”

Section: Introductionmentioning

confidence: 99%

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Power-Efficient Voronoi Constellations for Fiber-Optic Communication Systems

Mirani

Karlsson

et al. 2023

J. Lightwave Technol.

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Voronoi constellations (VCs) are considered as an effective geometric shaping method due to their high power efficiencies and low complexity. In this paper, the performance of 16-and 32-dimensional VCs with a variety of spectral efficiencies transmitted in the nonlinear fiber channel are investigated. Both single-channel and wavelength-division multiplexing systems are considered for the transmission of the VCs, as well as different signal processing schemes, including chromatic dispersion compensation and digital backpropagation. Multiple performance metrics including the uncoded bit error rate, mutual information (MI), and generalized mutual information (GMI) of VCs are evaluated. Compared with quadrature amplitude modulation (QAM) formats, the VCs provide 1.0-2.4 dB launch power gains, up to 0.50 bits/symbol/dimension-pair MI gains, up to around 30% potential reach increase at the same MI, and up to 0.30 bits/symbol/dimension-pair GMI gains in a limited launch power range. The observed performance gains over QAM are found higher than in the back-to-back case. Moreover, a general GMI estimation method for very large constellations using importance sampling is proposed for the first time.

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Section: Performance Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Power-Efficient Voronoi Constellations for Fiber-Optic Communication Systems

Mirani

Karlsson

et al. 2023

J. Lightwave Technol.

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“…These properties make VCs a suitable option for applications with strict limits on latency or power consumption, e.g., video conferencing or instrument control links that are latency sensitive [25]. The VCs have been realized in optical communication systems at 8 dimensions over time slots [27] and 32 dimensions over multiple wavelengths, polarizations and time slots [28]. Another type of VCs based on cubic coding lattice is investigated in [29] for single and multi-wavelength transmission simulations and mutual information (MI), generalized mutual information (GMI), and bit-error rate (BER) metrics are compared with quadrature amplitude modulation (QAM) formats.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, which is an extension of [27] and [28], we investigate different realizations of VCs in 8, 16, and 32 dimensions and compare their BER performance both in simulation and experiment in back-to-back (B2B) and long-haul fiber transmission. We show up to 22 and 70% transmission reach improvement for VCs compared to 4QAM and 16QAM at the hard-decision forward error correction (HD-FEC) limit, respectively.…”

Section: Introductionmentioning

confidence: 99%

Physical Realizations of Multidimensional Voronoi Constellations in Optical Communication Systems

Mirani

Vijayan

et al. 2023

J. Lightwave Technol.

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Multidimensional geometric shaping has been shown to outperform uniform quadrature amplitude modulation (QAM) in optical communication systems but the complexity of symbol decision and bit mapping can often be significant as dimensionality increases. In this paper, a low-complexity geometric shaping method based on multidimensional lattices is investigated both in experiments and simulations. The modulation formats designed based on this method are called Voronoi constellations (VCs) and we study them in 8, 16, and 32 dimensions. We obtain transmission reach improvements of up to 22 and 70% for VCs compared to 4QAM and 16QAM, respectively, in nonlinear long-haul fiber transmission. Moreover, we compare different physical realizations of multidimensional VCs over wavelengths, polarizations, and time slots in both the Gaussian and nonlinear fiber channels. We demonstrate that different physical realizations perform similarly in the fiber-optic back-to-back channel. However, in long-haul transmission systems, spreading the dimensions over time slots can increase the transmission reach up to 4% compared to wavelengths and polarizations. Furthermore, the mutual information and generalized mutual information are estimated and compared to QAM formats at the same spectral efficiencies.

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Infectious Hospital Area, the First Affiliated Hospital of University of Science and Technology of China, Hefei, China

Zhao¹,

Hu²,

Xue³

et al. 2021

BEBM

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With advances in deep learning, neural network based speech enhancement (SE) has developed rapidly in the last decade. Meanwhile, the self-supervised pre-trained model and vector quantization (VQ) have achieved excellent performance on many speech-related tasks, while they are less explored on SE. As it was shown in our previous work that utilizing a VQ module to discretize noisy speech representations is beneficial for speech denoising, in this work we therefore study the impact of using VQ at different layers with different number of codebooks. Different VQ modules indeed enable to extract multiplegranularity speech features. Following an attention mechanism, the contextual features extracted by a pre-trained model are fused with the local features extracted by the encoder, such that both global and local information are preserved to reconstruct the enhanced speech. Experimental results on the Valentini dataset show that the proposed model can improve the SE performance, where the impact of choosing pre-trained models is also revealed.

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Experimental Demonstration of 8-Dimensional Voronoi Constellations with 65,536 and 16,777,216 Symbols

Abstract: We experimentally demonstrate high-cardinality, low-complexity Voronoi constellations based on the E8 lattice over multiple time slots with OSNR and launch power gains of up to 1.7 and 2.4 dB for back-to-back and 80 km fiber transmission, respectively, compared to QAM formats.

Cited by 3 publications

References 18 publications

Power-Efficient Voronoi Constellations for Fiber-Optic Communication Systems

Power-Efficient Voronoi Constellations for Fiber-Optic Communication Systems

Physical Realizations of Multidimensional Voronoi Constellations in Optical Communication Systems

Infectious Hospital Area, the First Affiliated Hospital of University of Science and Technology of China, Hefei, China

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