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THEORETICAL MODELS OF VOLTAGE CONTROLLED OSCILLATORS AND THE
EFFECTS OF NON-LINEARITY
by
Yenming Chen
A Dissertation Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Ful¯llment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(ELECTRICAL ENGINEERING)
December 2007
Copyright 2007 Yenming Chen
Object Description
| Title | Theoretical models of voltage controlled oscillators and the effects of non-linearity |
| Author | Chen, Yenming |
| Author email | yenmingc@usc.edu |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Electrical Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2007-09-13 |
| Date submitted | 2007 |
| Restricted until | Restricted until 11 Oct. 2009. |
| Date published | 2009-10-11 |
| Advisor (committee chair) | Scholtz, Robert A. |
| Advisor (committee member) |
Lindsey, William C. Alexander, Kenneth |
| Abstract | This thesis presents mathematical models and performance evaluations of voltage-controlled oscillators when noises are included in the model. There are two main parts of the research. The first part introduces a novel mathematical model of a voltage-controlled oscillator (VCO) based on physical dynamics with noise. The effects of noise in this oscillator model are shown and the analytical forms of the resulting phase noise are obtained using the stochastic integrals. It is shown that the VCO has phase noise contributed from the internal noise of the clock and the clock drift caused by tuning plus tracking loop noises. Moreover, a two-pole filter is designed to constrain tracking loop noise. A timing jitter estimate is proposed. Analysis of the resulting phase noise along with the simulation suggest that the timing jitter process has a random walk behavior with restoring force and the upward zero-crossing jitter is normally distributed. The cycle-to-cycle jitter statistics are shown to be Gaussian distributed and independent.; The second part of the research is focused on oscillators with non-linearity. The oscillator model proposed is based on Robinson's oscillator. Two cases are studied, noise-free and noise-present conditions. Three types of oscillator models are introduced when noise is present. Noise effects on the oscillators and the non-linearity effect on the noise are analyzed. A new oscillator phase noise model which indicates the effect of a non-linearity is proposed. The results show that the newly defined phase noise is a modified Wiener process whose variance increases with time. The phase noise process is shown to be Gaussian distributed. Furthermore, the spread of the variance of the phase noise is reduced if the hard-limiter non-linearity used in the oscillator model is replaced by a soft-limiter with small slope. Similar effects are seen by reducing the system gain parameters. Further system performance improvement is achieved by the introduction of a soft-limiter in the outer-loop of the model, which further reduces the degradation of the noise on the steady state response. |
| Keyword | phase noise; voltage controlled oscillator; timing jitter; oscillator model |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Type | texts |
| Legacy record ID | usctheses-m862 |
| Rights | Chen, Yenming |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Chen-20071011 |
| Archival file | uscthesesreloadpub_Volume29/etd-Chen-20071011.pdf |
Description
| Title | Page 1 |
| Full text | THEORETICAL MODELS OF VOLTAGE CONTROLLED OSCILLATORS AND THE EFFECTS OF NON-LINEARITY by Yenming Chen A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Ful¯llment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (ELECTRICAL ENGINEERING) December 2007 Copyright 2007 Yenming Chen |
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