Construction of wavelet bases with vanishing movement

A kind of mother wavelet with good properties is constructed for any N ≥2, which is differentiable for N times, converges to zero at the order of 0 (|t|^−N) (t→∞) and has N−2 order of vanishing movement and some property of symmetry meanwhile. A computation example for N=4 is also given. Project supported by the National Natural Science Foundation of China (69875009)