• DocumentCode
    758251
  • Title

    An Analytical Pascal Matrix Transform for s -to- z Domain Transfer Functions

  • Author

    Kang, Zhu-Sheng

  • Author_Institution
    Univ. of Electron. Sci. & Technol. of China, Chengdu
  • Volume
    13
  • Issue
    10
  • fYear
    2006
  • Firstpage
    597
  • Lastpage
    600
  • Abstract
    An analytical Pascal matrix transform is proposed for conversions of transfer functions between s- and z-domains. The transform is formulated uniformly for first-order s-to-z transforms, and its Pascal matrix is derived logically and analytically. The inverse transform is then formed in terms of its forward transform matrices without computing the matrix inverses. Computation examples show that the presented Pascal matrix transform works simply and efficiently
  • Keywords
    matrix inversion; transfer function matrices; transforms; analytical Pascal matrix transform; matrix inversion; s-to-z domain transfer function; Discrete transforms; Equations; Linear circuits; Linear systems; Matrices; Matrix decomposition; Polynomials; Sampling methods; Transfer functions; Linear systems; Pascal matrix; matrix transform; transfer function;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2006.875350
  • Filename
    1703536
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=758251