基于康托尔集合对函数对称性分析方法的探索

he original concept of Cantor sets to analysis unimodal signal stem from the chemistry ,the data which use the instrument of chromatogram to measure are always unimodal and asymmetry. Whether can use Cantor sets to analysis signal so that I make try. Cantor functions stems from the convince of separate form ,but Cantor sets is a perfect uncounted and self-symmetric set , so that we can use Cantor sets to research problems such as the symmetry of signal. In the certain range, comparing the result of Cantor’s function using limited dot to compute biased coefficient with using the method of third order accumulation to compute the signal’s biased coefficient ,we find that both the equispaced Cantor sampling functions and discrete Cantor sampling functions can describe the symmetry sketch. Furthermore , when we choose some unimodal signals for example , the conclusion is that when period come bigger, using Cantor functions to describe symmetric resolution are better than the method of third order accumulation.