LAGRANGE MULTIPLIER APPROACHES TO THE DESIGN OF FIR FILTER BANKS TWO-CHANNEL PERFECT-RECONSTRUCTION LINEAR-PHASE
B.-R. Horng, Alan N. Willson · 1990
Two new approaches are presented for the design of twochannel perfect-reconstruction FIR filter banks, which yield linearphase filters. This work first formulates the optimization of perfect-reconstruction filter banks as a quadratic programming problem with linear constraints, and then as one with nonlinear constraints. Closed-form solutions for the first approach, and for the iteration problem in the second approach have been obtained. Design examples for both approaches are given.