• DocumentCode
    899704
  • Title

    Roundoff-error reduction for evaluation of a function by polynomial approximation with error feedback in fixed-point arithmetic

  • Author

    Mikami, Naoki ; Kobayashi, Masaki ; Yokoyama, Yukiko

  • Author_Institution
    Dept. of Inf. & Comput. Sci., Univ. of Ind. Technol., Kanagawa, Japan
  • Volume
    41
  • Issue
    5
  • fYear
    1993
  • fDate
    5/1/1993 12:00:00 AM
  • Firstpage
    1953
  • Lastpage
    1955
  • Abstract
    The relationship between Hornor´s method for polynomial evaluation and a first-order recursive filter with error feedback (EFB) is described. It is shown that EFB is a useful technique for reducing the roundoff errors that occur in evaluating a function by polynomial approximation
  • Keywords
    digital arithmetic; digital filters; feedback; filtering and prediction theory; function evaluation; polynomials; roundoff errors; Hornor method; error feedback; first-order recursive filter; fixed-point arithmetic; function evaluation; polynomial approximation; polynomial evaluation; roundoff error reduction; Computer errors; Digital filters; Electronic switching systems; Equations; Feedback; Fixed-point arithmetic; Polynomials; Quantization; Roundoff errors; Signal processing algorithms;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.215314
  • Filename
    215314