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Phase-locked loop (PLL) is extremely useful in performing several types of tasks, including predistortion correction, many form of harmonic distortion cancellation, mixing, interpolation/decimation, and multiplication. In the context of these tasks, the overall function of the PLL is to synthesize an output signal having the same frequency and phase as an input signal. A diagram of a general phase-locked loop (PLL) is shown in figure 1. The concept of a phase-locked loop is one of the earliest fundamental techniques used to implement narrowband filters in early radio frequency receivers for communication purposes. The phase-locked loop (PLL) is one of many techniques which assist in the capture of a desired output signal from an input signal. The PLL is capable of generating an output signal which is of the same frequency but with a phase which is correct for the incoming signal. Thus, the PLL is used in a feedback loop to analyze or synthesize the incoming signal. It is a system which has many applications and is often misinterpreted as a closed-loop amplifier. Although it can be thought of as a closed-loop amplifier, it works in a completely different fashion than a loop amplifier. This is due to the PLL analysis and synthesis of not only the amplitude but also the phase of the incoming and outgoing signals. Other techniques of analysis and synthesis for narrowband systems include the notch filter, broad band phase lock loop, and carrier regeneration. The PLL has had an expanding role in communications, radio frequency applications, and television. The PLL is an important element in several numerous functions, such as multiplication, injection locking, predistortion, mixing, and harmonic elimination. In these applications phase-locked loop systems can be designed to eliminate harmonic distortion, modulate or demodulate an input signal, and perform spectrum shaping and filtering. The PLL provides a technique to eliminate or eliminate the effects of harmonic distortion by using the output of the loop and feeding it back. It is a technique in which a signal is replicated and then compared to the original signal. When the signal being added to the loop is the same signal being used to control the frequency, the resulting output signal will be the frequency and phase of the PLL. When a signal is used to correct the phase of the output signal, the resulting output can be the desired signal. In the more general case, any signal can be used to control the phase. d2c66b5586