DocumentCode :
1224148
Title :
On a Solution to the Second-Order Phase-Locked Loop
Author :
Holmes, Jack K.
Author_Institution :
Jet Propulsion Lab., Cali. Inst. of Tech., Pasadena, CA
Volume :
18
Issue :
2
fYear :
1970
fDate :
4/1/1970 12:00:00 AM
Firstpage :
119
Lastpage :
126
Abstract :
A solution of the stationary, mod-2π-reduced phaseerror probability density function for the second-order phase-lock loop is derived, based on a mean square fit to a certain unknown conditional expectation term. The resulting phase variance obtained from this density function yields an error that is negligible for 
and an error no greater than 0.06 rad2for signal-to-noise ratios (SNRs)≥ 2 dB by comparison with actual measurements, and it appears to be the most accurate to date. The usefulness of the result lies in the fact that an accurate estimate of the phase-error variance for arbitrary parameter values is easily obtained without the use of a computer.
and an error no greater than 0.06 rad2for signal-to-noise ratios (SNRs)≥ 2 dB by comparison with actual measurements, and it appears to be the most accurate to date. The usefulness of the result lies in the fact that an accurate estimate of the phase-error variance for arbitrary parameter values is easily obtained without the use of a computer.Keywords :
Communications technology; Density functional theory; Equations; Filters; Local oscillators; Phase estimation; Phase locked loops; Probability density function; Steady-state; Voltage-controlled oscillators;
fLanguage :
English
Journal_Title :
Communication Technology, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9332
Type :
jour
DOI :
10.1109/TCOM.1970.1090335
Filename :
1090335
Link To Document :
