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

Hansen, Joel, Marquez, Itzamar, Roychowdhury, Mrinal K., Torres, Eduardo

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.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源