Construction and application of higher order Coiflet systems
Tielin Shi · 2008
Higher order Coiflets for which both the scaling and wavelet functions have a high number of vanishing moments are constructed by the modified Daubechies method.In contrast with Daubechies' filters of lower order Coiflets,our results are more accurate.The properties of phase and vanishing moment of the scaling and wavelet functions and the corresponding filter coefficients are calculated and verified.The results show that the figures of higher order Coiflets are similar to that of lower order ones.The wavelet filter is superior to the scaling filter in linear phase.The phase of the scaling filter is non-linear,while the phase of the wavelet filter is almost linear.With the increase of the order of Coiflet,the linear phase of the wavelet filter changes sharply.The phase of the scaling function is almost zero in the low frequency band.A filter coefficient table of 5 higher order Coiflets and 5 original lower order coiflets with high precision is listed.An application of higher order Coiflet to intervallic one is presented.