Accession Number:

AD0754355

Title:

Numerical Solution of the Fokker-Planck Equation for the First Order Phase-Locked Loop.

Descriptive Note:

Master's thesis,

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CALIF

Personal Author(s):

• Rutherford,Allan

Report Date:

1972-09-01

Pagination or Media Count:

52.0

Abstract:

The transient behavior of the phase error probability density function of a first-order phase-locked loop in the presence of additive white Gaussian noise is determined using numerical techniques. In addition, the modulo-2pi probability density function and the cycle slipping density function are found. The algorithm used in these analyses involves numerical integration of a normalized and factored Fokker-Planck equation. Results are shown for cases involving various signal-to-noise ratios and initial conditions. Author

Descriptors:

• *INFORMATION THEORY
• *PHASE LOCKED SYSTEMS
• STATISTICAL ANALYSIS
• TRANSIENTS
• STOCHASTIC PROCESSES
• PROBABILITY DENSITY FUNCTIONS
• WHITE NOISE
• NUMERICAL INTEGRATION
• COMPUTER PROGRAMS
• THESES

Subject Categories:

• Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE