• DocumentCode
    1264196
  • Title

    An alternate cascade factorization for para-unitary matrices

  • Author

    Regalia, Phillip A. ; Mitra, Sanjit K.

  • Author_Institution
    Dept. Electron. et Commun., Inst. Nat. des Telecommun., Evry, France
  • Volume
    38
  • Issue
    11
  • fYear
    1991
  • fDate
    11/1/1991 12:00:00 AM
  • Firstpage
    1373
  • Lastpage
    1376
  • Abstract
    A cascade factorization procedure is derived for paraunitary matrices, resulting in a structure consisting of constant unitary matrices and diagonal matrices of scalar all-pass functions. The factorization is canonic in the number of internal states and includes FIR (finite-impulse-response) lattice and wave lattice filters as particular instances. The procedure exploits the special pole-zero properties of paraunitary matrices and gives greater insight into the structure of such matrices
  • Keywords
    all-pass filters; digital filters; matrix algebra; poles and zeros; FIR; cascade factorization; constant unitary matrices; diagonal matrices; internal states; lattice filters; para-unitary matrices; pole-zero properties; scalar all-pass functions; wave lattice filters; Circuits; Control systems; Digital filters; Filter bank; Finite impulse response filter; Lattices; Network synthesis; Polynomials; Robust stability; Signal synthesis;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.99168
  • Filename
    99168