CONSTRAINED FIR FILTER DESIGN FOR 2-BAND FILTER BANKS
		       AND ORTHONORMAL WAVELETS

	  M. Lang, I. Selesnick, J. E. Odegard, C. S. Burrus
     Department of Electrical and Computer Engineering - MS366
              Rice University, Houston, TX-77251


			       ABSTRACT

2-band paraunitary FIR filter banks can be used to generate a
multiresolution analysis with compactly supported orthonormal (ON)
wavelets. The filter design problem is formulated and solved (a) as a
constrained L_oo optimization problem and (b) as a constrained L_2
optimization problem which allows arbitrary compromises between an L_2
and an L_oo approach with both of them as special cases. Additional
flatness constraints can also be easily included. The L_2 and the L_oo
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.