Families of binary coefficient biorthogonal wavelet filters
D.B.H. Tay · 2002
Two families of binary coefficient biorthogonal wavelet filters are presented in this paper. A binary (or dyadic) coefficient is an integer divided by a power of 2. The filters can be implemented efficiently without using any multipliers. The technique that is used to obtain the filters, hinges on the idea of freeing some of the zeros of the Lagrange Halfband Filter (LHBF) to allow some degree of freedom in choosing the coefficients. The first family is the 9/7 pairs and the second is the 6/10 pairs. Filters within the family are parametrized in a simple manner by a free parameter. By adjusting the free parameter, filters with different characteristics can be easily obtained while guaranteeing that the coefficients will always be binary.