• DocumentCode
    889250
  • Title

    Chebyshev coefficients for piecewise linear functions

  • Author

    Vlach, J.

  • Volume
    55
  • Issue
    4
  • fYear
    1967
  • fDate
    4/1/1967 12:00:00 AM
  • Firstpage
    572
  • Lastpage
    574
  • Abstract
    Tables are presented which make possible quick approximation of a curve by a series of Chebyshev polynomials: f(x) ≈ a0/2 Σi = 1naiTi(x); nmax= 10 The given curve is replaced by linear pieces between 21 equidistant points in the interval 〈- 1; + 1〉. The nth coefficient is computed as an= Σ Kn,jkj+ Σ Qn,jqjwhere Kn,j, Qn,jare constants of the tables and ki, qjare constants of the linear piece y = kjx + qjin the jth interval.
  • Keywords
    Approximation error; Chebyshev approximation; Coils; Magnetic fields; Piecewise linear approximation; Piecewise linear techniques; Polynomials; Voltage;
  • fLanguage
    English
  • Journal_Title
    Proceedings of the IEEE
  • Publisher
    ieee
  • ISSN
    0018-9219
  • Type

    jour

  • DOI
    10.1109/PROC.1967.5598
  • Filename
    1447528
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=889250