Mean Time to Lose Lock for the “Langevin”-Type Delay-Locked Loop

A. L. Welti, B. Z. Bobrovsky

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


The classical result of Kramers, 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 maximize the MTLL are proposed.

Original languageEnglish
Pages (from-to)2526-2530
Number of pages5
JournalIEEE Transactions on Communications
Issue number8
StatePublished - Aug 1994


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