Accession Number:

AD0653032

Title:

THE PHASE SYNCHRONIZATION OF A PARAMETRIC SUBHARMONIC OSCILLATOR.

Descriptive Note:

Technical rept.,

Corporate Author:

MICHIGAN UNIV ANN ARBOR DEPT OF ELECTRICAL ENGINEERING

Personal Author(s):

• Cockrell,James L.

Report Date:

1967-04-01

Pagination or Media Count:

213.0

Abstract:

The general problem of phase determination for a parametric subharmonic oscillator is formulated. The analyses of several circuits are reduced to the solution of the canonical Mathieu equation. Solution is effected by the Floquet theorem and the parameters discussed in terms of the range of values encountered in experimental circuits. The transient portion of the solution produces arbitrary constants with two possible signs, yielding the two phase states of a growing oscillation. Conditions of oscillation are discussed, and the influence of signal and noise presented.

Descriptors:

• (*SYNCHRONIZATION(ELECTRONICS)
• PHASE(ELECTRONICS))
• THEOREMS
• PHASE DETECTORS
• PROBLEM SOLVING
• OSCILLATORS
• SIGNALS
• NOISE
• CIRCUITS
• OSCILLATION
• GAIN
• VOLTAGE
• RANDOM VARIABLES
• ERRORS
• DIFFERENTIAL EQUATIONS
• CAPACITANCE
• TRANSFORMERS

Subject Categories:

• Electrical and Electronic Equipment
• Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE