I. Introduction
The phase-locked loop (PLL) is a critical component in many circuits and systems as it provides the timing basis for functions such as clock control, data recovery, and synchronization. With the fast development of radio frequency and millimeter wave communications, high frequency synthesizers have become more important in recent years. A 410 GHz CMOS Push-Push oscillator has already been demonstrated [1]. In a traditional PLL implementation, a divider in the feedback path converts higher frequencies to lower frequencies. Unfortunately, a traditional divider in PLL is based on flip-flops and will not work at such high frequencies. Designers usually resort to regenerative dividers [2] or injection locked dividers [3] to extend the operating frequency of their devices. However, both injection locked dividers and regenerative dividers typically rely on shunt peaking inductors that cost large areas and have limited tuning range.