THE DESIGN OF APPROXIMATE HILBERT TRANSFORM PAIRS OF WAVELETS BASES WITH FRACTIONAL FILTERS

摘要

New approach are presented for the design of pairs of wavelets with fractional filters where the two wavelets form an approximate Hilbert transform pairs. Wavelets with an arbitrary number of vanishing moments can be designed by using the new approach. Since polynomial filters is the especial setting of fractional filters, this design method can also be used to construct an approximate Hilbert transform pairs of wavelets bases with polynomial filters.