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
fDate :
8/1/1994 12:00:00 AM
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;
Journal_Title :
Communications, IEEE Transactions on
