正多边形边界上uniform distributions的量化系数
Quantization coefficients for uniform distributions on the boundaries of regular polygons
摘要：
本文给出了一个确定均匀分布量化系数的一般公式，均匀分布定义在圆内接的不同正$m$边多边形的边界上。结果表明，圆内接正$m$边多边形边界上均匀分布的量化系数是$m$的增函数，当$m$趋于无穷大时，其量化系数接近圆上均匀分布的量化系数.
英文摘要：
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.
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