Generally speaking, the regularity of orthonormal wavelet bases with compact support increases linearly with the support width. But if we relax the orthogonality, much more freedom on the choice of wavelet function is gained.
一般来说,对于规范正交小波基,它的正则性阶数是随其支集宽度线性增长的,而如果放松了正交性要求后,母小波可以同时具备局部支撑性和无限光滑性。
参考来源 - 小波变换在复合材料拉伸断面图像检测中的研究·2,447,543篇论文数据,部分数据来源于NoteExpress
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