DocumentCode :
765932
Title :
Error-Signal Response of a Phase-Locked Loop to a Coherent Chirp Signal
Author :
Yihui, Lu
Author_Institution :
Academia Sinica, Beijing, China
Volume :
30
Issue :
10
fYear :
1982
fDate :
10/1/1982 12:00:00 AM
Firstpage :
2274
Lastpage :
2276
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 ε 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 high-gain second-order PLL is considered.
Keywords :
Chirp modulation; PLLs; Phase-locked loop (PLL); Chirp; Computer simulation; Differential equations; Frequency locked loops; Perturbation methods; Phase locked loops; Signal generators; Transient response; Voltage; Voltage-controlled oscillators;
fLanguage :
English
Journal_Title :
Communications, IEEE Transactions on
Publisher :
ieee
ISSN :
0090-6778
Type :
jour
DOI :
10.1109/TCOM.1982.1095401
Filename :
1095401
Link To Document :
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