Studies on the Dynamics of a Second Order PLL in the face of Two Input Signals
Manaj Dandapathak1, Bishnu Charan Sarkar2
1Manaj Dandapathak, Department of  Physics, Hooghly Mohsin College, Chinsurah, Hooghly, West Bengal, India.
2Bishnu Charan Sarkar, Department of  Physics, University of  Burdwan, Golapbag, West Bengal, India.
Manuscript received on November 23, 2012. | Revised Manuscript received on December 06, 2012. | Manuscript published on December 30, 2012. | PP: 35-38 | Volume-2, Issue-2, December 2012.  | Retrieval Number: B0826112212 /2012©BEIESP

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Abstract: The Dynamics of a second order Phase locked loop (PLL) has been critically examined in the face of two co-channel input signals. Applying the analytical tool based on Melnikov’s technique, a range of design parameters of the Phase locked loop has been obtained which ensures the stable loop dynamics. It is observed that the said range depends on the relative amplitude and frequency of the input signals. The analytical predictions are verified through numerical simulation results of the system equations. 
Keywords: Phase locked loop, Melnikov’s function, Voltage control oscillator.