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This thesis discusses the frequency step response and the phase step response of first-order and second-order phase-locked loops under no noise condition. With these studies, we may understand (1)If the PLL is initially locked, under what conditions will the PLL remain locked? (2)How to choose the PLL parameters to minimize the transient time? First, we introduce the basic principles and basic functional blocks of PLL. Second, we make a linear mode analysis of the various configurations of PLL, then to solve their formulas of the frequency step response and the phase step response, and to find their lock ranges respectively. Finally, we present a realized circuit of PLL and compare the results of this circuit with the formulas above.
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