Title :
An Analytical Solution of the Fokker-Planck Equation in the Phase-Locked Loop Transient Analysis
Author_Institution :
Univ. of California, Los Angeles, CA, USA
fDate :
7/1/1987 12:00:00 AM
Abstract :
The transient behavior analysis of the phase-locked loop phase error process has resulted in a Fokker-Planck equation for which various numerical techniques have been proposed by many authors. In this paper, an analytical solution of the Fokker-Planck equation is obtained based upon the Girsanov transformation.
Keywords :
Fokker-Planck equations; PLLs; Phase-locked loop (PLL); Transient analysis; Communications Society; Diffusion processes; Equations; Frequency synchronization; Gaussian noise; Phase locked loops; Phase noise; Signal processing; Signal to noise ratio; Transient analysis;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOM.1987.1096849
