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,~ ????00000000,,,~~,~,kjkjkjkjkjkjkjkjkjkjfff???????????????????取由是正交小波時,證明:設(shè)判斷小波是否具有正交性的方法: ?????????????????????kjijxlkxkxdxxeF o u r i e rlxkxZkkxL成立。對幾乎處處滿足:變換的)(即:是規(guī)范正交族。)(下列命題等價。對于任意的定理:+-1)2(?).3()(?21?.2)(),(}),({.1,20,2,2????????????證明: dxxedyyedxkxedxxGeGckxxijxkkkijykijxijxjk22)1(22220202)(?21)(?21)2(?21)(21)()2(?)(G32???????????????? ?? ???????????????????????????????????定義函數(shù):):()(dxxedelxylkjdyyjydxlxkxlxkxijxij2)(?21)(?)(?21),()()()()()(),(21????????????????????????????????????????????????????? ):()(半正