On the probability of cycle-slipping in first-order phase-locked loops.The first-passage time boundary value problem for first-order phase-locked loops (PLL) is analyzed, and spectral representations are developed for the probability density function (pdf), the distribution function, and the moments of the first time to passage (or cycle-slip). For the sinusoidal PLL, an asymptotic formula, that is surprisingly accurate even at low loop SNR's and large frequency offsets, is obtained for the pdf of the time to cycle-slip, in terms of the mean time to slip.
Document ID
19720035607
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
La Frieda, J. R. (California Institute of Technology, Jet Propulsion Laboratory, Pasadena Calif., United States)
Date Acquired
August 6, 2013
Publication Date
January 1, 1972
Subject Category
Electronics
Meeting Information
Meeting: Hawaii International Conference on System Sciences, 5th, University of Hawaii