An efficient algorithm to design perfect reconstruction regular quadrature mirror filters using weighted Lp error criteria

An efficient iterative algorithm is presented in this paper to design lattice-type perfect reconstruction regular quadrature mirror filters (PR-QMF) by minimizing the pth power of an appropriate error criteria, where p can be a function of ω. The filter bank design is approximated as an unconstrained weighted least squares problem with respect to the lattice coefficients. Typically, only a few iterations of our algorithm are needed to obtain an optimal solution in the weighted L _p sense. An estimation of the number of canonic signed digit (CSD) terms needed to quantize the lattice coefficients yielding minimal degradation of the filter´s stopband attenuation is also derived. Efficient multiplierless implementation of lattice-type regular PR-QMF banks are easily obtained using this result