We draw a conclusion that in the dectection of singular signal, wavelet function must be a 1 or 2 order of derivative of a lubricity function, and has regularity and compactly support set.

• 本文主要侧重小波变换对奇异信号的研究，得出了结论：在检测奇异信号中，小波函数必须是某一平滑函数的一阶或二阶导数且具有较好的正则性或紧支性；