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Define a phase-locked loop (PLL) circuit and its function.

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A phase-locked loop (PLL) is an electronic circuit used in various applications to synchronize the phase and frequency of an output signal with that of a reference signal. It is a closed-loop feedback system that continuously adjusts the output signal to match the phase and frequency of the input reference signal.

The primary components of a PLL circuit include:

Phase Detector (PD): The phase detector compares the phase difference between the input reference signal and the output signal. It produces a control voltage proportional to the phase error.

Voltage-Controlled Oscillator (VCO): The VCO generates the output signal, and its frequency is controlled by the voltage applied to its control input. The VCO's frequency is proportional to the control voltage it receives.

Low-Pass Filter (LPF): The low-pass filter smooths out the control voltage from the phase detector, removing any high-frequency noise or unwanted components.

Feedback Loop: The filtered control voltage from the LPF is fed back to the VCO to adjust its frequency. This creates a closed-loop system, as the VCO output signal is continuously adjusted until it aligns with the reference signal.

The basic functioning of a PLL can be summarized as follows:

Phase Comparison: The phase detector compares the phase of the input reference signal with the output signal from the VCO.

Error Signal Generation: The phase detector produces an error signal, which represents the phase difference between the input and output signals.

Control Voltage Generation: The error signal is filtered through the low-pass filter to generate a control voltage proportional to the phase difference. This control voltage indicates the amount and direction of frequency adjustment required.

VCO Frequency Adjustment: The control voltage is then applied to the voltage-controlled oscillator (VCO), causing it to adjust its frequency accordingly.

Synchronization: As the VCO's frequency changes, the output signal's phase and frequency move closer to the phase and frequency of the reference signal. This process continues until the phase-locked loop achieves synchronization, minimizing the phase and frequency difference between the output and reference signals.

Applications of PLL circuits include clock generation and synchronization, frequency synthesis, frequency demodulation, data recovery, and various communication systems where accurate synchronization and frequency tracking are essential.
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