• DocumentCode
    1172021
  • Title

    A new class of Fourier series kernels

  • Author

    Papoulis, A.

  • Volume
    20
  • Issue
    2
  • fYear
    1973
  • fDate
    3/1/1973 12:00:00 AM
  • Firstpage
    101
  • Lastpage
    107
  • Abstract
    A class of weights is developed for minimizing the error in the approximation of a periodic function by a Fourier series with finitely many terms. The analysis is based on the following problem. Given a function P(t) , find the extrema of the integral \\int_{-T/2}^{T/2} P(t) | y(t) |^{2} dt as y(t) ranges over all normalized trigonometric polynomials of specified order.
  • Keywords
    Approximation techniques; Fourier series; General circuit theory; Periodic functions; Trigonometric polynomials; Chebyshev approximation; Circuit theory; Convolution; Error correction; Fourier series; Integral equations; Kernel; Minimization; Polynomials; Signal analysis;
  • fLanguage
    English
  • Journal_Title
    Circuit Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9324
  • Type

    jour

  • DOI
    10.1109/TCT.1973.1083648
  • Filename
    1083648
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1172021