ON THE CHAOTIC PHENOMENON OF PHASE-LOCKED LOOPS

• Main Authors: Chen, Ming Jen, 陳明仁
• Other Authors: Chang, Shyang
• Format: Others
• Language: en_US
• Published: 1995
• Online Access: http://ndltd.ncl.edu.tw/handle/12055560813247202258

碩士 === 國立清華大學 === 電機工程研究所 === 83 === Chaos is a ubiquitous nonlinear phenomenon which permeates all fields of science and engineering. It was reported that the chaos exist in the phase-locked loop(PLL). In this thesis , we use a second-order lowpass filter to implement the loop filter of the PLL. Hence, we can check this third-order PLL to see if the chaos exists both by theoretical analysis and experimental verification. For the theoretical part, we use the Melnikov method to ana- lyze the existence of chaos. In order to verify it experiment- ally, a real circuit is designed. Comparsions of the simulation results and experimental data are also made. Both results indi- cate the existence of chaos in our third-order PLL.