Abstract
This overview highlights the main steps to come to Periodic AC and Periodic Noise simulation in RF simulation. A distinction is made between forced oscillators and free oscillators. Noisy elements contribute in various ways to the overall noise effect. When dealing with free oscillators, phase noise is most important. In the case of white and coloured stochastic noise sources, the spectrum of the (stationary) autocorrelation of the phase-shifted function can be determined by summing the effects of all independent noise sources. In general one has to take the nonlinear way, in which the phase shift function changes with time, into account.
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References
W. Anzill, F.X. Kartner, P. Russer: Simulation of the phase noise of oscillators in the frequency domain, Int. J. Electron. Commun. (AEÜ) 48–1 (1994), 45–50.
W. Bomhof, H.A. van der Vorst (2001): A parallelizable GMRES-type method for Acyclic matrices with applications in circuit simulation, in U. van Rienen, M. Günther, D. Hecht (Eds): Scientific computing in electrical engineering, Proc. SCEE-2000, Warnemünde, Springer, Berlin (2001), 293–300.
A. Demir, A. Sangiovanni-Vincentelli: Analysis and Simulation of noise in nonlinear electronic circuits and systems, Kluwer Academic Publ., Boston, USA, 1998.
A. Demir, A. Mehrotra, J. Roychowdhury: Phase noise in oscillators: a unifying theory and numerical methods for characterisation, IEEE Trans. on Circuits and Systems - I: Fund. Theory and Applics. 47–5 (2000), 655–674.
A. Demir: Phase noise in oscillators: DAEs and coloured noise sources, Proc. ICCAD’98, Int. Conf. on Computer Aided Design, San José, CA, USA (1998), 170–177.
A. Demir, D. Long, J. Roychowdhury: Computing phase noise eigenfunctions directly from Harmonic Balance/Shooting matrices, Proc. ICCAD 2000, Int. Conf. on Computer Aided Design, San José, CA, USA (2000), 283–288.
M. Günther, U. Feldmann, J. ter Maten: Discretization of circuit problems, to appear in Numerical Analysis of Electromagnetics, Series Handbook of Numerical Analysis, Elsevier Science.
A. Hajimiri, T.H. Lee: A general theory of phase noise in electrical oscillators, IEEE J. Solid-State Circ., 33–2 (1998), 179–194.
S.H.M.J. Houben, E.J.W. ter Maten, J.M. Maubach, J.M.F. Peters: Novel time-domain methods for free-running oscillators, In: V. Porra, M. Valtonen, I. Hartimo, M. Ilmonen, 0. Simula, T. Veijola (Eds): ECCTD’01 - Proceedings of the 15TH European Conference on Circuit Theory and Design, Helsinki University of Technology (ISBN 951–22–5571–5), Finland (2001), III-393-III-396.
S.H.M.J. Houben: Time-domain simulation techniques for finding the PSS of electric oscillators, these Proceedings.
F.X. Kärtner: Untersuchung des Rauschverhaltens von Oszillatoren, PhD-Thesis TU München, 1989.
F.X. Kartner: Analysis of white and f -a noise in electrical oscillators, Int. J. Circuit Theory Appl. 18 (1990), 485–519.
T.A.M. Kevenaar: Periodic Steady State Analysis using Shooting and Waveform-Newton, Int. J. Circuit Theory and Applics. 22 (1994), 51–60.
R. Lamour, R. März, R. Winkler: How Floquet Theory applies to Index 1 differential algebraic equations, J. of Math. Analysis and Applics. 217 (1998), 372–394.
R. Lamour: Floquet-Theory for differential-algebraic equations (DAE), ZAMM 78–3 (1998), S989–S990.
S. \( tilde L\)ampe, H.G. Brachtendorf, E.J.W. ter Maten, S.P. Onneweer, R. Laur: Robust limit cycle calculations of oscillators, In U. van Rienen, M. Gunther and D. Hecht (Eds.): Scientific computing in electrical engineering, Proc. SCEE-2000, Warnemünde/Rostock, LNCSE 18, Springer Verlag, Berlin (2001), 233–240.
E.J.W. ter Maten: Numerical methods for frequency domain analysis of electronic circuits, Surv. Math. Ind. 8 (1999), 171–185.
K. Mayaram, D.C. Lee, S. Moinian, D. Rich, J. Roychowdhury: Overview of computer-aided analysis tools for RFIC: algorithms, features,and limitations, IEEE 1997 Custom Integrated Circuit Conference, Santa Clara, CA, USA (1997), 505–512.
M. Okumura, T. Sugawara, H. Tanimoto: An efficient small signal frequency analysis method for nonlinear circuits with two frequency excitations, IEEE Trans. of Comp.-Aided Design of Integrated Circuits and Systems 9–3 (1990), 225–235.
M. Okumura, H. Tanimoto, T. Itakura, T. Sugawara: Numerical noise analysis for nonlinear circuits with a periodic large signal excitation including cyclostationary noise sources, IEEE Trans. on Circuits and Systems — I: Fund. Theory and Applics. 40–9 (1993), 581–590.
R. Telichevesky, K.S. Kundert, J.K. White: Efficient Steady-State Analysis based on matrix-free Krylov-Subspace methods, Proc. DAC’95, 1995.
R. Telichevesky, K. Kundert: Efficient AC and noise analysis of two-tone RF circuits, Proc. DAC’96, Las Vegas, 1996.
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ter Maten, E.J.W., Fijnvandraat, J.G., Lin, C., Peters, J.M.F. (2003). Periodic AC and Periodic Noise in RF Simulation for Electronic Circuit Design. In: Antreich, K., Bulirsch, R., Gilg, A., Rentrop, P. (eds) Modeling, Simulation, and Optimization of Integrated Circuits. ISNM International Series of Numerical Mathematics, vol 146. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8065-7_8
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DOI: https://doi.org/10.1007/978-3-0348-8065-7_8
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