Maximum Vanishing Moment of Compactly Supported B-spline Wavelets
Kanchan Lata Gupta *
Institute of Engineering and Technology, Lucknow, India.
B. Kunwar
Institute of Engineering and Technology, Lucknow, India.
V. K. Singh
Institute of Engineering and Technology, Lucknow, India.
*Author to whom correspondence should be addressed.
Abstract
Spline function is of very great interest in field of wavelets due to its compactness and smoothness property. As splines have specific formulae in both time and frequency domain, it greatly facilitates their manipulation. We have given a simple procedure to generate compactly supported orthogonal scaling function for higher order B-splines in our previous work. Here we determine the maximum vanishing moments of the formed spline wavelet as established by the new refinable function using sum rule order method.
Keywords: B-splines, Multiresolution analysis, vanishing moments, sum rule order.