کنفرانس بین المللی میکروالکترونیک ایران

صفحه اصلی / هفتمین کنفرانس بین المللی میکروالکترونیک ایران

Analytical Formulation of Lock Range and Jitter Transfer in Injection-Locked Relaxation Oscillators

نویسندگان :

Armin Eslami¹ Reza Navid²

1- دانشگاه تهران 2- دانشگاه تهران

کلمات کلیدی :

Injection locking،relaxation oscillator،jitter transfer،injection-lock characteristics،time-domain modeling Introduction

چکیده :

This paper presents a time-domain analytical formulation of the locking behavior in relaxation oscillators. An idealized oscillator model is first employed to eliminate secondorder effects, providing a foundation for analyzing locking and jitter characteristics of non-harmonic injection-locked oscillators in the time domain. The proposed formulation explains why some locked conditions are unstable, and whether a stable condition exists for each unstable one. Furthermore, it demonstrates that, to the first order, the jitter transfer function from the injected signal to the output of the locked oscillator behaves as a single-pole low-pass filter, with a bandwidth proportional to the frequency difference between the injected signal and the free-running oscillator.