Voronoi constellations are of interest because it is possible to save on signal power by choosing a lattice for which the second moment of the Voronoi region is close to that of a sphere with the same dimensionality. A Voronoi constellation based on the lattice partition Lambda / Lambda /sub s/ is the set of points in some translate Lambda +a that fall within the Voronoi region R( Lambda /sub s/). G.D. Forney, Jr. (1989) proposed an algorithm for constructing Voronoi constellations and conjectured that this algorithm minimized the average signal power. A two-dimensional counterexample, to Forney's conjecture is presented.
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机译：Voronoi星座很有趣，因为可以通过选择Voronoi区域的第二矩接近具有相同维度的球体的矩来节省信号功率。基于晶格分区Lambda / Lambda / sub s /的Voronoi星座图是某些翻译Lambda + a中属于Voronoi区域R（Lambda / sub s /）的点集。 G.D. Forney，Jr.（1989）提出了一种构造Voronoi星座的算法，并推测该算法可将平均信号功率降至最低。提出了一个针对福尼猜想的二维反例。
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