2012
DOI: 10.1016/j.jfranklin.2012.01.004
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Edge-pairing isometries and counting Dirichlet domains on the densest tessellation for signal set design

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Cited by 4 publications
(5 citation statements)
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“…in power transmission line communications [7]), the proposed hyperbolic constellations provide higher coding gains than the classical Euclidean variants. Building on this work, in [17] the authors construct dense tessellations and count Dirichlet domains attached to certain families of these tessellations. In [6] the authors use units of quaternion orders to construct space-time matrices with the potential use case being wireless multi-antenna (MIMO) communications.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…in power transmission line communications [7]), the proposed hyperbolic constellations provide higher coding gains than the classical Euclidean variants. Building on this work, in [17] the authors construct dense tessellations and count Dirichlet domains attached to certain families of these tessellations. In [6] the authors use units of quaternion orders to construct space-time matrices with the potential use case being wireless multi-antenna (MIMO) communications.…”
Section: Introductionmentioning
confidence: 99%
“…Our interest in Fuchsian groups as a basis for code construction stems from a series of recent papers by Palazzo et al In [20,6,16,17], among others, various interesting connections between Fuchsian groups and signal constellation design are presented. In [20], the authors construct Fuchsian groups suitable for signal constellation design.…”
Section: Introductionmentioning
confidence: 99%
“…Shimura curves are also present in the theory of error-correcting codes [11]. More recently, Fuchsian groups have made an appearance [19,23,6,21] in the context of signal constellation design with potential applications in communications.…”
Section: Introductionmentioning
confidence: 99%
“…• Finally, we present an alternative method for constructing Fuchsian codes by certain parametrization of the integer tuples defining the Möbius transformations used for the code construction. Our interest in Fuchsian groups as a basis for code construction stems from a series of recent papers by Palazzo et al In [23,6,19,21], among others, various interesting connections between Fuchsian groups and signal constellation design are presented. In [23], the authors construct Fuchsian groups suitable for signal constellation construction.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation