Deriving phase from logarithmic gain derivatives

被引:3
|
作者
Rusu, C
Gavrea, I
Kuosmanen, P
机构
[1] Tampere Univ Technol, Signal Proc Lab, FIN-33101 Tampere, Finland
[2] Tech Univ Cluj Napoca, Dept Math, RO-3400 Cluj Napoca, Romania
[3] Tech Univ Cluj Napoca, Dept Elect & Telecommun, RO-3400 Cluj Napoca, Romania
关键词
Bode relationships; Hilbert transform; Fejer kernel;
D O I
10.1007/s00034-004-7042-0
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
One of the oldest and most useful techniques available in network theory states that the phase can be approximated using the slope of the logarithmic gain characteristic. The goal of this paper is to present some results concerning the analytical properties of logarithmic gain. We also show that a better phase approximation can be obtained in certain situations if the third derivative is taken into account.
引用
收藏
页码:243 / 261
页数:19
相关论文
共 50 条
  • [41] On logarithmic double phase problems
    Arora, Rakesh
    Crespo-Blanco, Angel
    Winkert, Patrick
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 433
  • [42] Deriving Numerical Techniques with Zero Phase-Lag and Derivatives for Initial Value Problems of Second Order
    Papadopoulos, D. F.
    Kosmas, O. T.
    Simos, T. E.
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B, 2012, 1479 : 1407 - 1410
  • [43] Deriving and Visualizing the Lower Bounds of Information Gain for Prefetch Systems
    Hung, Chung-Ping
    Min, Paul S.
    2013 19TH IEEE INTERNATIONAL CONFERENCE ON NETWORKS (ICON), 2013,
  • [44] Logarithmic derivatives of solutions to linear differential equations
    Hillar, CJ
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (09) : 2693 - 2701
  • [45] Some Estimates for Logarithmic Derivatives of Meromorphic Functions
    Shimomura, Shun
    RESULTS IN MATHEMATICS, 2009, 54 (1-2) : 173 - 182
  • [46] Some Estimates for Logarithmic Derivatives of Meromorphic Functions
    Shun Shimomura
    Results in Mathematics, 2009, 54 : 173 - 182
  • [47] Logarithmic derivatives of diffusion measures in a Hilbert space
    V. G. Bondarenko
    Ukrainian Mathematical Journal, 2000, 52 (4) : 616 - 623
  • [48] Quantum anomalies and logarithmic derivatives of feynman pseudomeasures
    Gough, J.
    Ratiu, T. S.
    Smolyanov, O. G.
    DOKLADY MATHEMATICS, 2015, 92 (03) : 764 - 768
  • [49] Quantum anomalies and logarithmic derivatives of feynman pseudomeasures
    J. Gough
    T. S. Ratiu
    O. G. Smolyanov
    Doklady Mathematics, 2015, 92 : 764 - 768
  • [50] Estimates on derivatives and logarithmic derivatives of holomorphic functions and Picard's theorem
    Li, Bao Qin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 442 (02) : 446 - 450