By Topic

Transient analysis of the first-order phase-locked loop (Corresp.)

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)

The problem of obtaining the transient solution to a class of Fokker-Planck equation derived from the first-order nondetuning phase-locked loop is considered. Two methods are proposed to obtain the eigenvalues and the eigenfunctions of the spatial operator for the Fokker-planck equation. One is a perturbation method in which the signal-to-noise ratio is adopted as a parameter. The other is a method similar to the Ince-Goldstein method for solving the Mathieu equation. Numerical calculations show that the latter is superior to the former in accuracy and in covering a wider range of signal-to-noise ratios.

Published in:

Information Theory, IEEE Transactions on  (Volume:23 ,  Issue: 3 )