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PLL TRACKER REFERENCE FREQ 200 Hz LOOP GAIN (K) 2.0 FILTER CUTOFF 0.10 VCO Freq: -- Phase Error: -- START TRACKING INPUT (BLUE) VS VCO (RED) CONTROL VOLTAGE (LOOP ERROR) PLL Mathematical Dynamics A Phase-Locked Loop (PLL) is a closed-loop feedback control system. Its purpose is to continuously compare a reference signal with a locally generated signal and adjust the local oscillator until both signals have the same frequency and a constant phase relationship. Fundamental Error Equation θ err (t) = θ ref (t) − θ vco (t) This quantity is called the phase error . The PLL's objective is to drive this error toward zero (or a small constant value) through feedback. The Three-...