论文标题
常规多边形边界上均匀分布的量化系数
Quantization coefficients for uniform distributions on the boundaries of regular polygons
论文作者
论文摘要
在本文中,我们给出了一个通用公式,以确定在圆圈中刻有不同常规$ m $侧面多边形边界上定义的均匀分布的量化系数。结果表明,在圆圈中刻有常规$ m $侧面多边形边界上均匀分布的量化系数是$ m $的越来越多的函数,并且接近了圆圈上均匀分布的量化系数,因为$ m $倾向于无穷大。
In this paper, we give a general formula to determine the quantization coefficients for uniform distributions defined on the boundaries of different regular $m$-sided polygons inscribed in a circle. The result shows that the quantization coefficient for the uniform distribution on the boundary of a regular $m$-sided polygon inscribed in a circle is an increasing function of $m$, and approaches to the quantization coefficient for the uniform distribution on the circle as $m$ tends to infinity.