Constrained Fir Filter Design for 2-band Filter Banks and Orthonormal Wavelets

2-band paraunitary FIR lter banks can be used to generate a multiresolution analysis with compactly supported orthonormal (ON) wavelets. The lter design problem is formulated and solved (a) as a constrained L1 optimization problem and (b) as a constrained L2 optimization problem which allows arbitrary compromises between an L2 and an L1 approach with both of them as special cases. Additional atness constraints can also be easily included. The L2 and the L1 design are based on the Kuhn-Tucker (KT) conditions and the alternation theorem, respectively. Therefore, optimality of the solution is guaranteed. The method (a) is a simpler alternative to a known method. The method (b) solves a more general problem than the approaches known in the literature including all of them as special cases.