We consider the design of 6-channel tight frame symmetric wavelet with scaling factor M = 4. The lowpass filter
is designed using either Grobner bases or truncated Taylor series methods. The bandpass and highpass filters are
then designed using Grobner bases. The resulting filters have linear phase, smooth limit functions, and reduced
redundancy. It was possible to obtain filterbanks with K0 (zeros at z = 1 and z = ±j for the lowpass filter) up
to 5 and Kmin (zeros at z = 1 for bandpass/highpass filters) of 1 or greater. The proposed filterbanks generate
five wavelets and a scaling function with the underlying filters related as follows: H5-i(z) = Hi(-z), i = 0... 5.