Lifting-based rational wavelet design from a given signal

This paper proposes design of rational wavelet filterbank via lifting scheme. We introduce the concept of rate converters in lifting filters, while designing predict and update stages. This design approach to rational wavelet has all the advantages of lifting, including perfect reconstruction and the design being modular. In addition, both predict and update stage polynomials are obtained from a given signal making the proposed scheme a signal-matched wavelet design approach.