GENERAL-ANALYSIS OF 2-BAND QMF BANKS


TUNCER T. E. , NGUYEN T.

IEEE TRANSACTIONS ON SIGNAL PROCESSING, vol.43, no.2, pp.544-548, 1995 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Letter
  • Volume: 43 Issue: 2
  • Publication Date: 1995
  • Doi Number: 10.1109/78.348138
  • Journal Name: IEEE TRANSACTIONS ON SIGNAL PROCESSING
  • Journal Indexes: Science Citation Index Expanded, Scopus
  • Page Numbers: pp.544-548

Abstract

The two-channel perfect-reconstruction quadrature-mirror-filter banks (PR QMF banks) are analyzed in detail by assuming arbitrary analysis and synthesis filters. Solutions where the filters are FIR or IIR correspond to the fact that a certain function is monomial or nonmonomial, respectively. For the monomial case, the design problem is formulated as a nonlinear constrained optimization problem. The formulation is quite robust and is able to design various two-channel filter banks such as orthogonal and biorthogonal, arbitrary delay, linear-phase filter banks, to name a few. Same formulation is used for causal and stable PR IIR filter bank solutions.