• DocumentCode
    1095318
  • Title

    Design of FIR digital phase networks

  • Author

    Steiglitz, Kenneth

  • Author_Institution
    Princeton University, Princeton, NJ, USA
  • Volume
    29
  • Issue
    2
  • fYear
    1981
  • fDate
    4/1/1981 12:00:00 AM
  • Firstpage
    171
  • Lastpage
    176
  • 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, and it is shown that the solution of this linear program 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}) . Numerical examples are given, including design results 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; Frequency; IIR filters; Linear programming; Minimax techniques; Nonlinear filters;
  • fLanguage
    English
  • Journal_Title
    Acoustics, Speech and Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0096-3518
  • Type

    jour

  • DOI
    10.1109/TASSP.1981.1163537
  • Filename
    1163537
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1095318