MATLAB Simulation of Second-Order Phase-Locked Loop with Code Implementation

This MATLAB simulation implements a second-order phase-locked loop (PLL) using algorithmic blocks including phase detectors, loop filters, and voltage-controlled oscillators (VCOs). The code accepts two input signal paths with configurable signal-to-noise ratio parameters, generating phase-locked output signals through iterative processing. Key simulation features include adjustable initial frequency offset settings and frequency ramp scenarios implemented via time-varying frequency parameters in the VCO module. The implementation allows testing different initial frequency offset values and frequency ramp amplitudes to observe PLL tracking performance and transient response characteristics. By modifying SNR values in the input signal generation function, users can analyze PLL behavior under various noise conditions. The simulation employs Z-domain transfer functions for loop filter design and discretization methods for continuous-time system conversion. Through these simulation experiments with configurable parameters in the main simulation script, developers can better understand and optimize PLL design parameters including damping factor, natural frequency, and loop bandwidth for improved performance.