1. Introduction
Modern data communication systems make it difficult to design high speed CMOS clock and data recovery circuits. To overcome this difficulty, an oversampling CMOS clock and data recovery (CDR) circuit that requires high-speed multi-phase clocks and ability to detect phase and frequency variation of input data at the same time was proposed[1]. However. the oversampling CDR circuit requires relatively larger area and larger power consumption. Another high speed CMOS CDR circuit uses a phase frequency detector(PFD) composed of complex state machines and VCO[2]. Also, various types of PFD such as a conventional PFD[3] or dynamic PFD[4], [5] were used to build high speed CMOS CDR circuits.