Browsing by Author "Markus, Lang"

Now showing 1 - 1 of 1
  • No Thumbnail Available
    Item
    Constrained FIR Filter Design for 2-band Filter Banks and Orthonormal Wavelets
    (1994-10-20) Markus, Lang; Selesnick, Ivan W.; Odegard, Jan E.; Burrus, C. Sidney; Digital Signal Processing (http://dsp.rice.edu/)
    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 LÂ â ¡ optimization problem and (b) as a constrained L2 optimization problem which allows arbitrary compromises between an L2 and an LÂ â ¡ approach with both of them as special cases. Additional flatness constraints can also be easily included. The L2 and the LÂ â ¡ 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.