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Publication Cover
Applicable Analysis
An International Journal
Volume 53, 1994 - Issue 1-2
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Original Articles

Numerical treatment of the first-order pll equation with sinusoidal phase detector characteristic

W. J. Luther Rwth Aachen, Aachen, Dw 5100, Germany
&
W. Otten Rwth Aachen, Aachen, Dw 5100, Germany
Pages 85-96 | Received 29 Jan 1993, Published online: 02 May 2007

References

  • Alefeld , G. and Herzberger , J. “ Einfuhrung in die Intervallrechnug” . In Reihe Informatik Bibliographisches Institut
  • Beaufils , P. and Luther , W. “ Boucle a verrouillage de phase ” .
  • Callor , J. L. “ Bifurcations du portrait de phase pour les equations differentielles lineaires du second ordre ayant type 1 equation d'Hermite. ” . In These IRMA
  • La Frieda , J. R. “ Transient Analysis of Phase-Locked Tracking Systems in the Presence of Noise. ” . In Ieee Trans. Inform. Theory It-19 155 – 165 .
  • Gardner , F. M. Phaselock Techniques 2ed.
  • Hochstadt , H. 1978 . A Direct and Inverse Problem for a Hill's Equation with Double Eigenvalues . J. Math, Anal, App. , 66 : 507 – 513 .
  • Ince , E. L. 1927 . The Mathieu equation with numerically large parameters. . J. London Math. Soc. , 2 : 46 – 50 .
  • Jones , W. B. and Thron , W. J. 1980 . “ Continued Fractions. Analytic Theory and Applications. ” . In Encyclopedia of Mathematics and its Applications , Vol. 11 , Addison-Wesley .
  • Kaufmann , F. 1989 . Derived Birkhoff-Series associated with . N(y)= h P (y). Results in Math , 15 : 255 – 290 .
  • Luther , W. 1990 . Nonstandard Analysis-Methoden in Anwendung auf ein Eigenwertproblem der PLL Theorie. . ASST '90, Proceedings. Informatik-Fachberichte , 253 : 136 – 141 .
  • Meyr , H. and Ascheid , G. 1990 . “ Synchronization in Digital Communications ” . Vol. 1 , New York : Wiley .
  • Ohsmann , M. 1988 . Verified Inclusion for Eigenvalues of Certain Difference and Differential Equations . Computing Suppl , 6 : 79 – 88 .
  • Otten W. Verified Inclusions of Eigenvalues of Linear Difference and Differential Equations Elsevier/. North Holland October 1991 to appear in International Symposium on Computer Arithmetic and Scientific Computation. Oldenburg, Germany, 1-4 . Edited by J. Herzberger and L. Atanassova.
  • Perron , O. 1957 . “ Die Lehre von den Kettenbruchen Bd.II ” . Stuttgart : Teubner .
  • Risken , H. 1989 . “ The Fokker-Planck Equation ” . Berlin-Heidelberg- New York : Springer . 1984, 2.ed.
  • Strutt , M.J.O. 1932-1967 . “ Lamesche-Mathieusche- und verwandte Funktionen in Physik und Technik ” . Berlin,New York : Chelsea .
  • Viterbi , A.J. 1963 . Phase-Locked Loop Dynamics in the Presence of Noise by Fokker-Planck Techniques. . Proc Ieee , 51 : 1737 – 1753 .

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