The phase locked loop or pll is a particularly useful circuit block that is widely used in radio frequency or wireless applications in view of its usefulness the phase locked loop or pll is found in many wireless radio and general electronic items from mobile phones to broadcast radios televisions to wi fi routers walkie talkie radios to professional communications systems and vey much more. A phase locked loop or phase lock loop pll is a control system that generates an output signal whose phase is related to the phase of an input signal there are several different types the simplest is an electronic circuit consisting of a variable frequency oscillator and a phase detector in a feedback loopthe oscillator generates a periodic signal and the phase detector compares the . Introduction to phase locked loop system modeling introduction phase locked loops plls are one of the basic building blocks in modern electronic systems they have been widely used in com munications multimedia and many other applications the theory and mathematical models used to describe plls are of two types linear and nonlinear . These and very many other applications mean that phase locked loops plls are a key building block within a variety of radio and rf systems a phase locked loop consists of a phase detector . The vco therefore integrates the control voltage to compute what the phase of its output sinusoid should be the term k is referred to as the loop gain in the tracking mode you can think of the whole loop as being a linear system where the input and output phase are related by the transfer function where gs is the response of the loop filter
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