AUTHORS: Milan Sigmund, Lubomir Brancik

Download as PDF

ABSTRACT: This paper addresses nanosecond square pulses transmitted by lossy transmission line on conventional printed circuit board. The pulse source is assumed to produce real square pulses with nonzero rise and fall times. Influence of parasitics on the shape is also taken into consideration. Shape distortion of transmitted pulses with duration from 0.1 ns to 10 ns is compared based on the measured transfer function of straight 25 cm long transmission line. For pulses with linear edges, distortion can be reduced using balanced relationship between the rise and fall times. Achievable reduction depends on the duration of the pulse; it is most effective for pulses of 2 ns to 5 ns. The results can be usable in signal processing where we know how much shape distortion can be tolerated

KEYWORDS: shape distortion, square pulse, pulse edges, transmission line on PCB

REFERENCES:

[1] I. Erdin and R. Achar, Small Signal AC Analysis of Controller Circuits with Distributed PCB Effects, in Proc. Asia-Pacific International Symposium on Electromagnetic Compatibility, Shenzhen, China, 2016, pp. 1150-1152.

[2] T. Le Gouguec, et al., Modelling up to 45 GHz of Coupling between Microvias and PCB Cavities Considering Several Boundary Conditions, International Journal of Microwave and Wireless Technology, Vol.8, No.3, pp. 421-430, May 2016.

[3] J. Jerabek, J. Dvorak, R. Sotner, B. Metin, and K. Vrba, Multifunctional Current-Mode Filter with Dual-Parameter Control of the Pole Frequency, Advances in Electrical and Computer Engineering, Vol.16, No.3, pp. 31- 36, August 2016.

[4] S. C. Thierauf, High-Speed Circuit Board Signal Integrity, 2nd edition, Boston, London: Artech House, 2017.

[5] M. Li, Jitter, Noise, and Signal Integrity at High-Speed. Upper Saddle River: Prentice Hall, 2007.

[6] C. R. Paul, Transmission Lines in Digital and Analog Electronic Systems: Signal Integrity and Crosstalk, Hoboken, NJ: John Wiley, 2011.

[7] C. R. Paul, Analysis of Multiconductor Transmission Lines. New York: John Wiley & Sons, 2008.

[8] S. H. Hall, G. W. Hall, and J. A. McCall, HighSpeed Digital System Design, New York: John Wiley, 2000.

[9] T. Liang, S. Hall, H. Heck, and G. Brist, A Practical Method for Modeling PCB Transmission Lines with Conductor Surface Roughness and Wideband Dielectric Properties, in Proc. IEEE MTT-S International Microwave Symposium Digest, San Francisco, CA, 2006, pp. 1780-1783.

[10] Z. Chen and Y. P. Zhang, FR4 PCB Grid Array Antenna for Millimeter-Wave 5G Mobile Communications, in Proc. IEEE MTT-S Int. Microwave Workshop Series on RF Wireless Technologies for Biomedical and Healthcare Applications (IMWS-BIO), pp. 1-3, Singapore, December 2013.

[11] Y. Yin, B. Zarghooni, and K. Wu, SingleLayered Circularly Polarized SubstrateIntegrated Waveguide Horn Antenna Array. IEEE Transactions on Antennas and Propagation Vol.65, No.11, pp. 6161-6166, November 2017.

[12] M. Sigmund and L. Brancik, Distortion of Short Square Pulses by Transmission Line on Printed Circuit Board, in Proc. European Conf. on Electrical Engineering and Computer Science (EECS 2017), Bern, Nov. 2017, to be published.

[13] K. Gröchenig, Foundations of Time-Frequency Analysis, New York: Springer, 2013.

[14] B. Dobrucky, O.V. Chernoyarov, and M. Marcokova, Computation of the Total Harmonic Distortion of Impulse System Quantities Using Infinite Series, in Proc. 14th Conference on Applied Mathematics, Bratislava, 2015, pp. 213-220.

[15] E. W. Kamen and B. S. Heck, Fundamentals of Signal and Systems, Upper Saddle River, NJ: Pearson Prentice Hall, 2007.

[16] W. J. Welch, A Mean Squared Error Criterion for the Design of Experiments, Biometrika, Vol.70, No.1, pp. 205-213, April 1983.

[17] M. Sigmund and L. Brancik, Requirements on Needed Frequency Bandwidth Depending on Pulse Waveforms and their Allowed Distortion, Journal of Electrical Engineering, Vol.67, No.6, pp. 459-462, December 2016.

[18] J. S. Izadian, J. Ferry, and J. McAllister, Novel Transmission lLne for 40 GHz PCB Applications, in Proc. DesignCon, Santa Clara, CA, 2011, Vol.2, pp. 1390-1412.

[19] J. Yu, X. Li, and J. Zhang, Digital Signal Processing for High-Speed Optical Communication, World Scientific, 2018.

[20] B. Maxfield, Engineering with Mathcad: Using Mathcad to Create and Organize your Engineering Calculations, Amsterdam: Elsevier, 2006.

[21] A. M. Sayegh, M. Z. B. Jenu, S. Z. Sapuan, and S. H. B. Dahlan, Analytical Solution for Maximum Differential-Mode Radiated Emissions of Microstrip Trace, Trans. on Electromagnetic Compatibility, Vol.58, No.5, pp. 1417-1424, May 2016