Numerical Technique for Computation of Timing Jitter in Nonlinear Electrical Circuits Based on Interval Evaluation

 

M. M. Gourary, S. G. Rusakov, S. L. Ulyanov, M. M. Zharov

Institute for Design Problems in Microelectronics of Russian Academy of Sciences, Sovetskaya Street 3, Moscow 124365, Russian Federation

 

The paper is received on February 19, 2018

 

Abstract. The formalized approach for the characterization of timing jitter in simulation problems is presented. The approach aims to estimate jitter caused by the device noise. It is oriented on application in circuit simulators. In the present paper the interval jitter metric is introduced. The interval jitter metric has the following advantages: universality for exploitation in circuit simulators and elimination of high frequency noise contributions. In comparison with the traditional noise analysis approach the considered numerical procedures are based on simulation techniques for nonstationary noise analysis of nonlinear circuits. The introduced interval jitter metric supports the numerical procedure to evaluate the timing jitter. This metric is well suited for the implementation in circuit simulators and for the prediction of the timing instability. The interval jitter metric provides the adaptation to the noise frequency range. This definition provides the relatively simple jitter computation during the conventional noise simulation. New metric expects the specification of the interval of switching event but in contrast with the point estimation it requires neither the time point of switching nor threshold level.

Key words: noise analysis, interval jitter metric, circuit simulation, nonlinear circuits.

References

1.     A. A. Abidi and R. G. Meyer. Noise in relaxation oscillators. IEEE J. Solid-State Circuits, Dec. 1983, Vol. sc-18, pp.794-802

2.  B.Kim, T.C.Weigandt, P.R. Gray. PLL/DLL System Noise Analysis for Low Jitter Clock Synthesizer Design. Proc. IEEE International Symposium on Circuits and Systems, ISCAS'94, 1994, Vol.4, pp. 31–34

3.     T.C. Weigandt, B.Kim, P.R. Gray. Analysis of Timing Jitter in CMOS Ring Oscillators. Proc. IEEE International Symposium on Circuits and Systems, ISCAS'94, 1994, Vol.4, pp. 27-30

4.      J.A. McNeill. Jitter in Ring Oscillator. IEEE J. Solid-State Circuits, June 1997, Vol. 32, pp. 870-879

5.     J. Phillips, K. Kundert. Noise in mixers, oscillators, samplers, and logic. An introduction to cyclostationary noise. Proc. IEEE Custom Integrated Circuits Conf., 2000, pp.431-438

6.  K. Kundert. Modeling and Simulation of Jitter in PLL. In the book "Advances in Analog Circuit Design (RF Analog-to-Digital Converters; Sensor and Actuator Interfaces; Low-Noise Oscillators, PLLs and Synthesizers)", edited by Rudy J. van de Plassche, Hohan H. Huijsing, Willy Sansen, Springer-Verlag US 1997, DOI https://doi.org/10.1007/978-1-4757-2602-2, ISBN 978-1-4419-5185-4

7.    A. Demir, A. Sangiovanni-Vincentelly. Analysis and Simulation of Noise in Nonlinear Electronic Circuits and Systems. Kluwer Academic Publishers, 1997.

8.    A. Demir, A. Mehrotra, J. Roychowdhury.  Phase Noise in Oscillators: A Unified Theory and Numerical Methods for Characterisation. IEEE Trans. Circuits Syst. I. 2000. Vol. 47. No 5. pp. 655–674.

9.     F.X. Kaertner. Determination of the Correlation Spectrum of Oscillators with Low Noise. IEEE Trans. on Microwave Theory and Techniques, 1989, Vol. 37, No. 1, pp.90-101

10.  F.X. Kaertner. Analysis of White and Noise in Oscillators. International J. of Circuit Theory and Applications , 1990, Vol. 18, No. 1, pp.485-519

11.  A. Demir and A. L. Sangiovanni-Vincentelli. Simulation and modeling of phase noise in open-loop oscillators. Proc. IEEE Custom Integrated Circuits Conf., 1996, pp. 453-456

12. 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, 1993, Vol. 40, No. 9, pp. 581-590

13. M.M. Gourary, S. G. Rusakov, S. L. Ulyanov, M.M. Zharov, and B. J. Mulvaney. A New Numerical Method for Transient Noise Analysis of Nonlinear Circuits. Proc. ASP-DAC, 1999, pp.165-168

14. M.M. Gourary, S. G. Rusakov, S. L. Ulyanov, M.M. Zharov, K. Gullapalli and B. J. Mulvaney. A New Approach for Computation of Timing Jitter in PLL. Proc. DATE, 2000, pp.345-349

15.  J.Roychowdhury, D. Long, P. Feldmann. Cyclostationary Noise Analysis of Large RF Circuits with Multitone Excitations. IEEE J. of Solid-State Circuits, 1998, Vol. 33, No. 3, pp. 324-336

 

For citation:

M. M. Gourary, S. G. Rusakov, S. L. Ulyanov, M. M. Zharov. Numerical Technique for Computation of Timing Jitter in Nonlinear Electrical Circuits Based on Interval Evaluation. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2018. No. 2. Available at http://jre.cplire.ru/jre/feb18/12/text.pdf

DOI  10.30898/1684-1719.2018.2.10