• Isabela M. Nobre
  • Julio L. Nicolini
  • Joaquim D. Garcia
  • Marbey Mosso



Instrumentation, Microwave, Signal Processing, Time Domain Reflection


In this paper, a simple and accurate technique for the measurement of the S-Parameters of a two-port network from time domain data is presented, based on Fourier theory and techniques. This method is proposed to circumvent the need of a network analyser when studying an unknown device, as no additional measurements other than the time domain data are required. An excellent correspondence between this technique's results and regular network analyser measurements is achieved for the entire operational band of the devices tested.


[1] K. Kurokawa, “Power waves and the scattering matrix,” Microwave Theory and Techniques, IEEE Transactions on, vol.
13, no. 2, pp. 194_202,1965.
[2] S. Pannala, Development of time domain characterization methods for packaging structures. PhD thesis, Georgia
Institute of Technology, 1999.
[3] D. C. DeGroot and R. B. Marks, “Optimizing time-domain network analysis” in ARFTG Conference Digest-Fall, 46th,
vol. 28, pp. 19_28,IEEE, 1995.
[4] Agilent Application Note, Time Domain Reflectometry Theory, 2013.
[5] S.-J. Kim, K. Koh, S. Boyd, and D. Gorinevsky, “l1 trend filtering,” Siam Review, vol. 51, no. 2, pp. 339-360, 2009.
[6] A. Savitzky and M. J. Golay ”Smoothing and diferentiation of data by simplified least squares procedures” Analytical
chemistry, vol. 36,no. 8, pp. 1627-1639, 1964.
[7] R. J. Hodrick and E. C. Prescott, ”Postwar us business cycles: an empirical investigation, ” Journal of Money, credit, and
Banking, pp. 1-16,1997.
[8] P. H. Eilers, ”A perfect smoother, ” Analytical chemistry, vol. 75, no. 14,pp. 3631-3636, 2003.
[9] D. Gorinevsky, ”Optimal estimate of monotonic trend with sparse jumps, ” in American Control Conference, 2007.
ACC'07, pp. 1051-ᄃ 1056, IEEE, 2007.
[10] S. M. Wentworth, Fundamentals of electromagnetics with engineering applications. Wiley, 2004.
[11] C. E. Shannon, ”Communication in the presence of noise, ” Proceedings of the IRE, vol. 37, no. 1, pp. 10-21, 1949.
[12] A. V. Oppenheim, A. S. Willsky, and S. H. Nawab, Signals and systems, vol. 2. Prentice-Hall Englewood Cliffs, NJ,
[13] K. Runtz and D. Hack,”A multistage dft-fft-czt approach for accurate e-cient analysis of sparsely distributed spectra,” in
Electrical and Computer Engineering, 2002. IEEE CCECE 2002. Canadian Conference on”, vol. 1, pp. 127-132, IEEE,
[14] L. Rabiner, R. W. Schafer, and C. M. Rader, ” The chirp z-transform algorithm” Audio and Electroacoustics, IEEE
Transactions on, vol. 17, no. 2, pp. 86-92, 1969.
[15] P. J. Pupalaikis, ”The relationship between discrete-frequency s-parameters and continuous-frequency responses, ”
[16] S. Haykin, Communication systems. John Wiley & Sons, 2008.




How to Cite

Isabela M. Nobre, Julio L. Nicolini, Joaquim D. Garcia, & Marbey Mosso. (2016). SIGNAL PROCESSING TECHNIQUE FOR TIME DOMAIN MEASUREMENT OF S-PARAMETERS. Journal of Microwaves, Optoelectronics and Electromagnetic Applications (JMOe), 15(2), 105–114.



Regular Papers