Abstract :
A novel orthogonal prefilter satisfying the Strang-Fix condition is designed for common orthonormal compactly supported multiscaling functions. Compared with the method given by Xia (see IEEE Trans. Signal Process., vol. 46, p. 1558-1570, 1998) for GHM 2 wavelets, the φ(ω) of the φ(t) constructed using the proposed method has second-order flatness at ω=0