• DocumentCode
    1143175
  • Title

    Mean time to lose lock for the “Langevin”-type delay-locked loop

  • Author

    Welti, A.L. ; Bobrovsky, B.Z.

  • Author_Institution
    Commun. Technol. Lab., Eidgenossische Tech. Hochschule, Zurich, Switzerland
  • Volume
    42
  • Issue
    8
  • fYear
    1994
  • fDate
    8/1/1994 12:00:00 AM
  • Firstpage
    2526
  • Lastpage
    2530
  • Abstract
    The classical result of Kramers (1940), originally related to chemical reaction rates, is applied in this letter to a second-order all-pole, coherent code tracking delay-locked loop (DLL). A very simple, explicit expression for the leading order term of the mean time to lose lock (MTLL) is presented. The dependence of the MTLL on the loop tension (offset) due to Doppler shift and code clock mismatch is given, and optimal loop parameters which minimize the MTLL are proposed
  • Keywords
    codes; delays; phase-locked loops; telecommunication systems; tracking; Doppler shift; Langevin-type DLL; MTLL; code clock mismatch; coherent code tracking; delay-locked loop; loop tension; mean time to lose lock; offset; optimal loop parameters; second-order all-pole DLL; Chemicals; Chemistry; Communications technology; Delay effects; Differential equations; Optical noise; Perturbation methods; Phase locked loops; Spread spectrum communication; Tracking loops;
  • fLanguage
    English
  • Journal_Title
    Communications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0090-6778
  • Type

    jour

  • DOI
    10.1109/26.310610
  • Filename
    310610