Properties and Construction of Rank 3 Wavelet Scaling Sequences
Rui Qi Zhao · Systems engineering and electronics · 2002
To overcome the disadvantages of the dyadic wavelet and extand the scope of wavelet applications, the multiresolution analysis and orthogonal condition of rank M wavelet are studied. A new method for constructing the filter coefficients corresponding to the rank 3 wavelet scaling function is presented. And the conclusion is drawn that the number of the FIR coefficients corresponding to the rank M wavelet scaling function is at least MN , where N is the vanishing moment of the vavelet function. Rank M wavelet has potential advantages over the traditional wavelets in image compression.\;