2019
DOI: 10.3390/app9091889
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Two-Dimensional Constellation Shaping in Fiber-Optic Communications

Abstract: Constellation shaping has been widely used in optical communication systems. We review recent advances in two-dimensional constellation shaping technologies for fiber-optic communications. The system architectures that are discussed include probabilistic shaping, geometric shaping, and hybrid probabilistic-geometric shaping solutions. The performances of the three shaping schemes are also evaluated for Gaussian-noise-limited channels.

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Cited by 23 publications
(15 citation statements)
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“…The geometrical shaping scheme places points in the constellation mapping in non-uniform locations while making each symbol equally probable. However, the probabilistic constellation shaping scheme keeps the location of points of the constellation uniform but makes the probability of each symbol non-uniform which means that each symbol is sent with different probabilities [117]. This is employed in communication to limit the probability of occurrence of the high energy symbols and then increases the signal to noise ratio for all other symbols.…”
Section: Constellation Shapingmentioning
confidence: 99%
“…The geometrical shaping scheme places points in the constellation mapping in non-uniform locations while making each symbol equally probable. However, the probabilistic constellation shaping scheme keeps the location of points of the constellation uniform but makes the probability of each symbol non-uniform which means that each symbol is sent with different probabilities [117]. This is employed in communication to limit the probability of occurrence of the high energy symbols and then increases the signal to noise ratio for all other symbols.…”
Section: Constellation Shapingmentioning
confidence: 99%
“…The PS of input data already provides SNR gain in optical fiber and VLC systems [17], [18], [19]. The optimized constellation points obtained from (4) for uniform input data can be further optimized for non-uniform input data by adapting the concept of hybrid probabilistic shaping and geometric shaping [18], [21]. The PS CSK-1PD constellation points are designed in the confined region of constellation symbols according to the probability of occurrence of symbols.…”
Section: B Objective Functionmentioning
confidence: 99%
“…At the occurrence of nonfeasible solution the best fitting solution, i.e., the constellation points providing minimum SNR from the potential population set is chosen as the starting point. The solutions obtained by the numeric algorithm depend on the initial estimate of the constellation points (X0) used to start the optimization process [21]. The random starting points must be a strictly feasible constellation points (as shown in Table. 1), fulfilling the optical power and geometric constraint with strict inequality range constraint (as explained in section III).…”
Section: Optimization Algorithmmentioning
confidence: 99%
“…To compensate for the performance loss, in recent years, a constellation shaping scheme has attracted increasing research attention, which include geometric shaping (GS) [12][13][14][15][16][17], probabilistic shaping (PS) [18][19][20][21][22][23], and hybrid geometric-probabilistic shaping [24][25][26][27]. These different shaping schemes can approach the Shannon limit.…”
Section: Introductionmentioning
confidence: 99%