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Computer Science > Information Theory
Title: Geometrically-Shaped Constellation for Visible Light Communications at Short Blocklength
(Submitted on 6 Nov 2023 (v1), last revised 29 Apr 2024 (this version, v2))
Abstract: In this paper, we present a general framework of designing geometrically shaped constellations for short-packet visible light communications with a peak- and an average-intensity constraints. By leveraging tools from large deviation theory, we first characterize the second-order asymptotics of the optimal constellation shaping region under aforementioned intensity constraints, which serves as a good performance measure for the best geometric shaping in finite blocklength. To further incorporate a sufficiently large coding gain and a nearly-maximum shaping gain, we construct multidimensional constellations by the nested structure of Construction B lattices, where the constellation shaping is implemented by controlling the boundary of the embedded sublattice, i.e., a strategy called coarsely shaping and finely coding. Fast algorithms for constellation mapping and demodulation are presented as well. As an illustrative example, we present an energy-efficient $24$-dimensional constellation design based on the Leech lattice, whose superiority over existing constellation designs is verified by numerical results.
Submission history
From: Ryan Chen [view email][v1] Mon, 6 Nov 2023 04:32:49 GMT (1895kb,D)
[v2] Mon, 29 Apr 2024 02:02:18 GMT (3605kb,D)
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