本文给出一类正交基插值尺度函数,讨论了这类尺度函数的光滑性和衰减性,特别研究了两种情况下这类尺度函数的光滑性和衰减性。
A class of cardinal orthogonal scaling functions are constructed, and the regularity and the decay of these scaling functions are discussed. In particular, the regularity and the decay in two specific cases are studied.