Phase-Locked Loop (PLL)

Computer Engineering

How It Works

A phase-locked loop (PLL) is an electronic closed-loop control system that aligns the phase and frequency of a synthesized oscillator signal with an external reference clock. A phase-frequency detector (PFD) generates charge error pulses proportional to instantaneous phase differences, which a low-pass loop filter smooths into an analog control voltage V_ctrl. This voltage drives a Voltage-Controlled Oscillator (VCO), enabling dynamic frequency multiplication, clock de-skewing, and low-jitter distribution.

Governing Equation
θ_{error}(t) = θ_{ref}(t) - θ_{out}(t) , ω_{out}(t) = ω_0 + K_{VCO} · V_{ctrl}(t)