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UsetheMatlabtomodelthePLLsystemcomponent-pll_component_design_matlab.pdf
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详细说明： UsetheMatlabtomodelthePLLsystemcomponent-pll_component_design_matlab.pdf This document will deal with the PLL component design from a control point of view. It is desired to be able to predict the behaviour of the PLL in terms of stability and locking to specified frequencies. Control theory can give us this behaviour of a system once we model it in the frequency domain. The goal of the PLL is to lock to a reference frequency fref within a certain amount of time and with minimum interference to adjacent frequencies . The PLL system components are comprised of a phase detector , loop filter , and voltage controlled oscillator . By varying the gains of these system components, the behaviour of the PLL will change. This document will outline the method in which one can design the system components for a desired PLL response. 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
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