Low-Complexity Geometric Shaping

Mirani, Ali; Agrell, Erik; Karlsson, Magnus

doi:10.1109/jlt.2020.3033031

Cited by 30 publications

(40 citation statements)

References 32 publications

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“…For the QAM formats, Gray labeling and maximum likelihood detection were used. However, for Voronoi constellations, quasi-Gray labeling and the closest point algorithm were applied to recover the transmitted bits as in [12] .…”

Section: Methodsmentioning

confidence: 99%

“…In the case of E8 with 6 bits/sym/pol, 16777216 symbols are obtained, known as E8B3 (E8 with 3 bits per dimension). For these constellations, fast and low-complexity algorithms for bit-to-symbol mapping, detection algorithm (closest point algorithm), and symbol-to-bit demapping were studied in [12], [15] . To transmit multidimensional modulation formats in a real system, each constellation dimension needs to be realized by a physical dimension.…”

Section: Voronoi Constellationsmentioning

confidence: 99%

“…Experimental demonstrations were performed using multicore fibers transmitting 12- [9] and 16dimensional [10] modulation formats. Up to 24 dimensions were studied in simulations over the nonlinear fiber channel [11], [12] . However, improving the SE using multidimensional constellations increases the computational complexity of generation and detection as it involves full enumeration of constellation points with look-up tables.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Mirani

Vijayan

et al. 2021

2021 European Conference on Optical Communication (ECOC)

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Section: Methodsmentioning

confidence: 99%

Section: Voronoi Constellationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Mirani

Vijayan

et al. 2021

2021 European Conference on Optical Communication (ECOC)

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“…where dij is the Euclidean distance between any two constellation points ci and cj, erfc (x) is the complementary error function equal to 7) is an approximate upper bound, considered a true value only when N0 is equal to zero [21].…”

Section: Set-up and Modelingmentioning

confidence: 99%

Intrinsic signal processed non-linearity tolerant novel 2-Tier star constellation

Khaki

Qazi

2022

Opt Quant Electron

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In coherent optical systems, optical fiber non-linearity is a consistent limiting factor towards the effective signal-to-noise ratio though being mitigated by various digital signal processing based approaches. In this paper, an intrinsic method of signal processing based on the shape of the input constellation is employed to yield a novel non-linearity tolerant geometric constellation. 16-QAM back-to-back coherent system is optimized for minimum value of nonlinear interference, and a novel 2-tier star constellation using sequential quadratic programming algorithm is proposed. The values of second and fourth order moments of input obtained for the optimized 2-tier star constellation are 1.19 and 1.70 respectively, resulting in an overall reduction of non-linear interference.

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“…In [37][38][39], high-dimensional modulation based on a dense lattice has been studied. Although it has been demonstrated that these lattices offer excellent shaping gains even for a short symbol length with efficient implementation [40], the major challenge may lie in an integration with practical coded modulation systems.…”

Section: A Related Work: Multi-dimensional Modulation Based On Latticesmentioning

confidence: 99%

A Low-Complexity Probabilistic Amplitude Shaping With Short Linear Block Codes

Matsumine

Koike‐Akino

Ochiai

2021

IEEE Trans. Commun.

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We propose a new probabilistic amplitude shaping (PAS) scheme based on short linear block codes. In the proposed system, the capacity-approaching signal distribution is generated in the process of decoding linear block codes for a given information bit sequence. We associate the design problem of shaping codes with the classical covering problem, suggesting the use of good covering codes for shaping. From simulation results, it is demonstrated that by selecting perfect binary codes as our shaping codes, the proposed scheme offers a shaping gain of around 0.3-1.0 dB. By comparing with the enumerative sphere shaping (ESS) of the same block length, we verify that the proposed scheme achieves significantly lower storage complexity and computational complexity at the receiver even with comparable block error rate performance.

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Low-Complexity Geometric Shaping

Cited by 30 publications

References 32 publications

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

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

Intrinsic signal processed non-linearity tolerant novel 2-Tier star constellation

A Low-Complexity Probabilistic Amplitude Shaping With Short Linear Block Codes

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