List of Figures.....................................................................................................................ii Table of Contents................................................................................................................1 Introduction........................................................................................................................2 Prerequisites.......................................................................................................................2 System Model.....................................................................................................................2 Closed Loop Specifications................................................................................................4 MatLab Analysis, Ktotal = 1.................................................................................................4 Stability..........................................................................................................................4 Step Response.................................................................................................................5 Phase Margin..................................................................................................................6 MatLab Analysis, Overdamped..........................................................................................7 Step Response.................................................................................................................7 Phase Margin..................................................................................................................8 Bandwidth......................................................................................................................9 Specifications.................................................................................................................9 MatLab Analysis, Underdamped......................................................................................10 Step Response...............................................................................................................10 Phase Margin................................................................................................................11 Bandwidth.....................................................................................................................12 Specifications................................................................................................................12 Component Design............................................................................................................13 Conclusions......................................................................................................................14 Recommendations.............................................................................................................14 Appendix A – Loop Filter Circuit.....................................................................................15 Appendix B – MatLab......................................................................................................16 Total Gain Design.........................................................................................................16 PLL Implementation.....................................................................................................18 References........................................................................................................................20