Jitter Modeling for High Precision Frequency Measurements in Oscillator Circuits

Abstract

This paper studies the concept of jitter in a frequency measurement system and proposes a method of converting phase noise to random jitter. The study illustrates the impact of jitter on a PLL circuit by constructing a model of an oscillator with realistic random jitter. The modeled jitter was implemented using Verilog, and the outcomes were examined using MATLAB. We present a comprehensive approach to generate jitter via a phase noise model, which simplifies the testing of circuits under different conditions, such as various environments and temperatures. To verify the proposed method, the simulations of a 1st order Bang-Bang Phase Locked Loop Frequency-to-Digital Converter are performed with and without jitter. The results indicate that the proposed method of converting phase noise to random jitter provides an accurate and reliable way to examine the robustness of circuits under the presence of jitter.