本文選題：多重仿射框架 + 多重加細(xì)函數(shù)�。� 參考：《數(shù)學(xué)的實(shí)踐與認(rèn)識》2017年21期

【摘要】：引入多個(gè)加細(xì)函數(shù)生成的最小能量多重仿射框架的概念.運(yùn)用矩陣?yán)碚摵蜁r(shí)頻分析方法,給出對應(yīng)于最小能量多重仿射框架的多重加細(xì)函數(shù)所滿足的條件.得到最小能量多重仿射緊框架的特征與構(gòu)造方法.對原多重加細(xì)函數(shù)和最小能量多小波仿射框架做正交變換,得到新的多重加細(xì)函數(shù)和對應(yīng)的最小能量多重仿射框架.
[Abstract]:The concept of multiplex affine frame with minimum energy generated by multiple thinning functions is introduced. By using matrix theory and time-frequency analysis method, the conditions of multiple refinements corresponding to the minimum energy multiplex affine frame are given. The characteristics and construction method of multiplex affine compact frame with minimum energy are obtained. By orthogonal transformation of the original multiple thinning function and the minimum energy multiwavelet affine frame, a new multi multiple refinement function and the corresponding minimum energy multi multiple affine frame are obtained.
【作者單位】： 南陽理工學(xué)院師范學(xué)院;西安交通大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院;
【基金】：國家自然科學(xué)基金項(xiàng)目(61403298) 河南省自然科學(xué)基金項(xiàng)目(102300410022)
【分類號】：O174.2

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