Abstract
A general expression for the phase transfer functions of an oscillator for frequencies close to the harmonics of the oscillator fundamental is derived. Numerical testing and comparison with some known results are performed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kaertner, F.X.: Determination of the correlation spectrum of oscillators with low noise. IEEE Trans. Microwave Theory Tech. 37, 90–101, January (1989)
Kaertner, F.X.: Analysis of white and f − α noise in electrical oscillators. Int. J. Circ. Theory Appl. 18, 485–519, (1990)
Demir, A., Mehrotra, A., Roychowdhury, J.: Phase Noise in oscillators: A unifying theory and numerical methods for characterization. IEEE Trans. on Circuits and Systems – I 47, 655–674, May (2000)
Demir, A.: Phase noise and timing jitter in oscillators with colored-noise sources. IEEE Trans. on Circuits and Systems-I: Fund. Theory and Applics. 49(12), 1782–1791 (2002)
Maffezzoni, P.: Frequency-shift induced by colored noise in nonlinear oscillators, IEEE Trans. on Circuits and Systems-II: Express Briefs, 54(16), 887–891 (2007)
Hajimiri, A.: A general theory of phase noise in electrical oscillators, IEEE J. of Solid-State Circuits 33(2), 179–194 (1998)
Vanassche, P., Gielen, G., Sansen, W.: On the difference between two widely publicized methods for analyzing oscillator phase behavior. In: Proc. Int. Conf. Computer-Aided Design, San Jose, pp. 229–233 (2003).
Vanassche, P., Gielen, G., Sansen, W.: Time-varying, frequency-domain modeling and analysis of phase-locked loops with sampling phase-frequency detectors. In: Proc. Design, Automation and Test in Europe Conf., Munich, pp. 238–243 (2003)
Kundert, K.S., White, J.K., Sangiovanni-Vincentelli, A.: Steady-state methods for simulating analog and microwave circuits, Kluwer, Boston (1990)
Rizzoli, V., Mastri, F., Masotti, D.: General noise analysis of nonlinear microwave circuits by the piecewise harmonic balance technique. IEEE Trans. Microwave Theory Tech. 42, 807–819, May (1994)
Günther, M., Feldmann, U., ter Maten, J.: Modelling and discretization of circuit problems, In: W.H.A. Schilders, E.J.W. ter Maten (Guest Eds), Handbook of Numerical Analysis, Vol. XIII, Special Volume on Numerical Methods in Electromagnetics, Elsevier North-Holland, pp. 523–658 (2005)
Gourary, M.M., Rusakov, S.G., Ulyanov, S.L., Zharov, M.M., Mulvaney, B.J., Gullapalli K.K.: New numerical technique for cyclostationary noise analysis of oscillators. In: Proc. of the 37th European Microwave Conference, Munich, pp. 1173–1176, October (2007).
Gourary, M.M., Rusakov, S.G., Ulyanov, S.L., Zharov, M.M., Mulvaney, B.J.: Analysis of oscillator injection locking by harmonic balance method. In: Proc. of Design, Automation and Test in Europe Conf., Munich, pp. 318–323, March (2008)
Demir, A., Long, D., Roychowdhury, J.: Computing phase noise eigenfunctions directly from steady-state Jacobian matrices. In: Int. Conf. Computer-Aided Design, San Jose, pp. 283–288, Nov. (2000)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Gourary, M.M., Rusakov, S.G., Ulyanov, S.L., Zharov, M.M., Mulvaney, B.J. (2010). Evaluation of Oscillator Phase and Frequency Transfer Functions. In: Roos, J., Costa, L. (eds) Scientific Computing in Electrical Engineering SCEE 2008. Mathematics in Industry(), vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12294-1_24
Download citation
DOI: https://doi.org/10.1007/978-3-642-12294-1_24
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12293-4
Online ISBN: 978-3-642-12294-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)