Design of two-channel nonuniform-division maximally decimated filter banks using L1 error criteria
J.-H. Lee, Sih‐Shiang Huang · IEE Proceedings - Vision Image and Signal Processing · 1996
The paper considers the optimal design of two-channel nonuniform-division maximally decimated filter bank (NDMDFB) systems with linear-phase analysis/synthesis filters. Based on L1 error criterion, the authors formulate two design problems, namely, L1 reconstruction error and stopband response for analysis filters, L1 reconstruction error and least-squares stopband response for analysis filters. They are usually nonlinear optimisation problems. To avoid the requirement of performing any complicated nonlinear optimisation techniques for each design, the design problems are reformulated using a linearisation scheme. As a result, finding the optimal coefficients of the analysis/synthesis filters requires the solution of linear equations. A method for solving each of the resulting design problems is developed. Simulation examples for illustration are provided.