Title :
A general method to predict the amplitude of oscillation in nearly sinusoidal oscillators
Author :
Maggio, Gian Mario ; De Feo, Oscar ; Kennedy, Michael P.
Author_Institution :
Adv. Syst. Technol., STMicroelectronics, San Diego, CA, USA
Abstract :
In this paper, a general methodology for predicting the amplitude of oscillation in nearly sinusoidal oscillators is presented. The method relies on the recently proposed projection technique for the computation of the center manifold and on the Hopf normal form theory to approximate the corresponding limit cycle in state space. The Colpitts oscillator is selected as a case study and, for this circuit, a closed-form expression for the amplitude of oscillation is derived as a function of the circuit parameters.
Keywords :
bifurcation; eigenvalues and eigenfunctions; limit cycles; oscillators; state-space methods; Colpitts oscillator; Hopf normal form theory; center manifold theorem; limit cycle; nearly sinusoidal oscillators; oscillation amplitude; state space; Bifurcation; Circuits; Closed-form solution; Eigenvalues and eigenfunctions; Failure analysis; Frequency; Information analysis; Limit-cycles; Oscillators; State-space methods; Center manifold theorem; Colpitts oscillator; Hopf normal form theorem; oscillation amplitude;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2004.832793
