摘要
本文以Cantor分维集合为时轴,构想了三种自相似时间信息。理论上以逐代繁衍的眼光看待自相似信息,导出它们的谱结构因子递推公式和谱形状因子递推公式,并给出四组谱图。从谱图的比较和演变,看出结构因子的本底作用和形状因子的调制作用,以及各代之间的竞争现象。此项研究为在另一表象(频域)中进一步认识自相似信息提供一种依据。
In this paper, three modes of self-similar time informations on Cantor's fractal axis are constructed. Based upon a theoretical view point of generative production, we have found the recurrence formulae of spectral structure factor and shape factor of them, and plotted four series of spectral curves. By the comparison and progression of spectral curves, it can be seen that the structure factors play the ground role and the shape factors play the modulatory role, and there are competitive phenomena between generations. This investigation provides a basis for further understandng of the characteristics of self-similar informations by a new representation such as frequency domain.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
1991年第12期1934-1941,共8页
Acta Physica Sinica
