An efficient algorithm to design quadrature mirror filters using multi-band weighted Lp error criteria

An efficient iterative algorithm is presented for the design of quadrature mirror filters by minimizing the p-th power of the error function, where p may varied in different frequency bands. Our algorithm incorporates the iterative reweighted least squares technique. The filter bank design is approximated as a weighted least-squares quadratic programming problem. Good designs are obtained typically in a few iterations. The algorithm designs quadrature mirror filters which satisfy the mixed L_p error criteria in the overall filter bank frequency responses and the filters stop-band responses