Errorsignal response of a phaselocked loop to a coherent chirp signal
Abstract
A new theory which describes the transient response of a PLL to a periodic ramp voltage applied to the VCO for generating a coherent chirp signal has been presented. With the appropriate choice of loop parameters and the ramp voltage rate to make the value of the normalized loop natural frequency within the range (0, 1), the PLL's equation can be simplified to a nearly linear differential equation. Its asymptotic solution can be obtained by the perturbation method as epsilon is a rather small value. Computer simulation results in agreement with the analysis have been obtained. Its application to generate a coherent linear frequency modulation waveform using a highgain secondorder PLL is considered.
 Publication:

IEEE Transactions on Communications
 Pub Date:
 October 1982
 Bibcode:
 1982ITCom..30.2274Y
 Keywords:

 Chirp Signals;
 Error Signals;
 Phase Coherence;
 Phase Locked Systems;
 Ramp Functions;
 Transient Response;
 Asymptotic Methods;
 Computerized Simulation;
 Feedback Control;
 Frequency Modulation;
 High Gain;
 Linear Equations;
 Voltage Controlled Oscillators;
 Electronics and Electrical Engineering