• DocumentCode
    3481780
  • Title

    Norm induced QMF banks design using LMI constraints

  • Author

    Li, Min ; Kok, Chi-Wah

  • Author_Institution
    Electr. Eng. Dept, Hong Kong Univ. of Sci. & Technol., Kowloon, China
  • Volume
    6
  • fYear
    2003
  • fDate
    6-10 April 2003
  • Abstract
    This paper presents constrained ℓ 2 norm and L∞ norm optimal QMF banks designs. Both methods cast the design problems as a linear objective function minimization problem subject to linear matrix inequality (LMI) constraints, which are solved by semidefinite programming. The LMI constraints are shown to be convex. Consequently, the designed QMF banks are globally optimal with respect to the objective function.
  • Keywords
    convex programming; matrix algebra; minimisation; quadrature mirror filters; L∞ norm optimal QMF banks; LMI constraints; QMF bank design; constrained ℓ 2 norm; convex constraints; global optimality; linear matrix inequality; linear objective function minimization; norm induced QMF banks; quadrature mirror filters; semidefinite programming; Design optimization; Eigenvalues and eigenfunctions; Filter bank; Functional programming; Least squares methods; Linear matrix inequalities; Linear programming; Minimization methods; Mirrors; Signal design;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03). 2003 IEEE International Conference on
  • ISSN
    1520-6149
  • Print_ISBN
    0-7803-7663-3
  • Type

    conf

  • DOI
    10.1109/ICASSP.2003.1201726
  • Filename
    1201726