DocumentCode :
761339
Title :
Determination of phase-locked loop statistics with the aid of RLC ladder networks
Author :
El-Masry, E.I. ; Martens, G.O.
Author_Institution :
Univ. of Illinois, IL, USA
Volume :
29
Issue :
1
fYear :
1981
fDate :
1/1/1981 12:00:00 AM
Firstpage :
73
Lastpage :
79
Abstract :
Transient behavior of the first-order phase-locked loop (PLL) in the presence of noise is investigated. A Fourier series with time varying coefficients is used to represent the modulo-2π phase error probability density function (pdf) in order to solve the Fokker-Planck equation. Solutions for the Fourier coefficients are obtained via simulating 
ladder networks with special element values. Results are shown for cases involving various signal-to-noise (SNR) ratios and initial conditions.
ladder networks with special element values. Results are shown for cases involving various signal-to-noise (SNR) ratios and initial conditions.Keywords :
Ladder networks; Network transient analysis; PLLs; Phase-locked loop (PLL); RLC networks; Error probability; Fourier series; Frequency; Phase locked loops; Phase noise; Probability density function; Signal to noise ratio; Statistics; Voltage-controlled oscillators;
fLanguage :
English
Journal_Title :
Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
0090-6778
Type :
jour
DOI :
10.1109/TCOM.1981.1094861
Filename :
1094861
Link To Document :
