I. Introduction
One of the most widely employed circuits in the field of communication systems, computer engineering, and power electronics is Phase locked loop (PLL). Among its various applications are data and clock recovery, clock distribution, timing control, frequency synthesizer, etc. It consists of various building blocks such as phase frequency detector, charge pump, loop filter, and frequency divider circuit. With recent developments in RF applications, there is a need for designing PLL with wide tuning range, reduced settling time, low phase noise and power consumption. Over the years, the phase locked loop has been implemented in various technologies like GaAs pHEMT [1], bipolar junction transistor, and BiCMOS [2], but a fully complementary metal oxide semiconductor (CMOS) PLL design is preferred. This is because of scalability of MOS transistors, easy fabrication, high packing density, low power, and good compatibility with other nanodevices such as memristor. In addition, studies have shown that the combination of memristor and CMOS device reduces power consumption by 20 % and offers 2–3 times area improvement [3], [4].