Frequency synthesis using phase-controlled oscillator techniques

Abstract

The behavior of the phase-controlled oscillator has been the subject of extensive analysis for many years. However, the vast majority of the literature assumes that the phase comparator, or error detector, of the system produces an output proportional to the sine of the phase difference. In recent years, a few articles have appeared in the literature considering a comparator that produces an output which is proportional to a linear function of the phase difference over a periodic range. This type of phase comparator now makes it plausible to use phase-lock techniques to generate a Fourier series.

This paper is concerned with the analysis of the phase-controlled oscillator with the previous mentioned application foremost in mind. To obviate certain mathematical complexities, assumptions were made about the nature of the solution of the equation governing the phase-controlled oscillator. In order to gain insight into the validity of these assumptions, as well as the over-all behavior of the system, a phase-controlled oscillator was designed and constructed. Various measurement techniques were developed to provide both static and dynamic characteristics.