Doctoral Dissertations


Carl Ray Ryan


"A regenerative frequency divider can be constructed with one integrated circuit and a single-pole tuned circuit. The divider can be used as a means for reducing the modulation index of either deterministic or random signals. This reduction in modulation index can simplify many signal processing schemes. This technique can be used up to S-band frequencies. The mathematical model of the regenerative frequency divider corresponds very closely to that of a first order Phase Locked Loop (PLL). The loop gain is determined in part by the nonlinear element used in the feedback loop. The loop gain is also proportional to the ratio of the input envelope amplitude and the output envelope amplitude. Theoretical and measured performance of the regenerative frequency divider indicates that it is slightly superior to that of the first order PLL for processing nondeterministic signals such as a frequency modulated signal corrupted by wide-band Gaussian noise. Measured performance on a divide by two shows that the probability of cycle skipping for carrier plus wide-band Gaussian noise is an order of magnitude less than the corresponding PLL for a loop signal-to-noise ratio of 5dB. The similarity between higher order PLL models and the regenerative frequency divider with higher order loop filters is very close when the loop error is small"--Abstract, page ii.


Noack, Thomas L.

Committee Member(s)

Bertnolli, Edward C.
Betten, J. Robert
Foote, Joe R.
Kern, Frank J.


Electrical and Computer Engineering

Degree Name

Ph. D. in Electrical Engineering


University of Missouri--Rolla

Publication Date



viii, 131 pages

Note about bibliography

Includes bibliographical references (pages 117-118).


© 1969 Carl Ray Ryan, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Subject Headings

Integrated circuits -- Design
Frequency dividers
Modulation (Electronics) -- Mathematical models

Thesis Number

T 2232

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