• DocumentCode
    3042715
  • Title

    Design of FIR digital phase networks

  • Author

    Steiglitz, Kenneth

  • Author_Institution
    Princeton University, Princeton, NJ
  • Volume
    5
  • fYear
    1980
  • fDate
    29312
  • Firstpage
    252
  • Lastpage
    255
  • Abstract
    The problem of the minimax design of FIR digital filters with prescribed phase characteristics and unit magnitude is a nonlinear optimization problem. In this paper it is approximated by a linear programming problem which is optimal to first order. That is, if δ0and ε0are optimal deviations of magnitude and phase characteristics, then the actual deviations obtained from the linear program solution satisfy \\delta \\leq \\delta _{0} + \\epsilon \\min{0}\\max {2} and \\epsilon \\leq \\epsilon _{0}(1+\\delta _{0})/(1-\\delta _{0}) . Design results are given for full-band M-term chirp filters, which (like linear phase filters) can be implemented with (M+1)/2 multiplications per point.
  • Keywords
    Chebyshev approximation; Chirp; Design optimization; Digital filters; Finite impulse response filter; Linear approximation; Linear programming; Minimax techniques; Nonlinear filters; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '80.
  • Type

    conf

  • DOI
    10.1109/ICASSP.1980.1171030
  • Filename
    1171030
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3042715