Comparison of subspace and ARX models of a waveguide's terahertz transient response after optimal wavelet filtering

IEEE Transactions on Microwave Theory and Techniques

Volumn 52, Issue 10, 2004, Pages 2409-2419

  Hadjiloucas, Sillas ^a   Galvão, Roberte K H ^b   Becerra, Victor M ^a   Bowen, John W ^a   Martini, Rainer ^c   Brucherseifer, Martin ^d   Pellemans, Harm P M ^e   Bolívar, Peter Haring ^f   Kurz, Heinrich ^f   Chamberlain, J Martyn ^g  

^a UNIVERSITY OF READING   (United Kingdom)

^b INSTITUTO TECNOLÓGICO DE AERONÁUTICA   (Brazil)

^c Stevens Institute of Technology   (United States)

^d GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^e ASML   (Netherlands)

^f RWTH AACHEN UNIVERSITY   (Germany)

^g DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Identification algorithms; Multimode waveguide characterization; Signal processing; Terahertz spectroscopy

Indexed keywords

ALGORITHMS; ELECTRIC IMPEDANCE; OPTICAL FILTERS; SIGNAL DISTORTION; SIGNAL PROCESSING; TRANSFER FUNCTIONS; WAVEGUIDES; WAVELET TRANSFORMS;

IDENTIFICATION ALGORITHMS; MULTIMODE WAVEGUIDE CHARACTERIZATION; OPTIMAL WAVELET FILTERING; TERAHERTZ SPECTROSCOPY;

SCATTERING PARAMETERS;

EID: 6944221343     PISSN: 00189480     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMTT.2004.835983     Document Type: Article

References (25)

1. D. M. Mittleman, G. Gupta, R. Neelamani, R. G. Baraniuk, J. V. Rudd, and M. Koch, "Recent advances in terahertz imaging," Appl. Phys. B, Photophys. Laser Chem., vol. 68, pp. 1085-1094, 1999.
2. D. M. Mittleman, R. H. Jacobsen, R. Neelamani, R. G. Baraniuk, and M. C. Nuss, "Gas sensing using terahertz time-domain spectroscopy," Appl. Phys. B, Photophys. Laser Chem., vol. 67, pp. 379-390, 1998.
3. B. Ferguson and D. Abbott, "Wavelet de-noising of optical terahertz imaging data," Fluctuation Noise Lett., vol. 1, pp. L65-L70, 2001.
4. P. R. Smith, D. H. Auston, and M. C. Nuss, "Subpicosecond photo-conducting dipole antennas," J. Quantum Electron, vol. QE-24, pp. 255-260, Feb. 1988.
5. M. C. Nuss and J. Orenstein, "Millimeter and submillimeter wave spectroscopy of solids," in Topics Current Chem., E. Grüner, Ed. Heidelberg, Germany: Springer-Verlag, 1998, vol. 74, pp. 7-50.
6. P. Haring-Bolívar, "Coherent THz spectroscopy," in Semiconductor Quantum Optoelectronics: From Quantum Physics to Smart Devices, A. Miller, M. Ebrahimzahdeh, and D. M. Finlayson, Eds. Bristol, U.K.: Institute of Phys., 1999, ch. 5, pp. 151-192.
7. P. Haring-Bolívar, M. Brucherseifer, H. P. M. Pellemans, and H. Kurz et al., "THz sources and systems," in Time Domain THz Spectroscopy and Sensing, R. E. Miles et al., Eds. Norwell, MA: Kluwer, 2001, pp. 315-328.
8. L. Ljung, System Identification, Theory for the User, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1999.
9. H. Krim, D. Tucker, S. G. Mallat, and D. Donoho, "On denoising and best signal representation," IEEE Trans. Inform. Theory, vol. 45, pp. 2225-2238, Nov. 1999.
10. U. L. Pen, "Application of wavelets to filtering of noisy data," Phil. Trans. R. Soc. Lond. A, Math. Phys. Eng. Sci., vol. 357, pp. 2561-2571, Sept. 1999.
11. G. Strang and T. Nguyen, Wavelets and Filter Banks, rev. ed. Wellesley, MA: Wellesley-Cambridge, 1998.
12. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.
13. B. G. Sherlock and D. M. Monro, "On the space of orthonormal wavelets," IEEE Trans. Signal Processing, vol. 46, pp. 1716-1720, June 1998.
14. I. Daubechies, Ten Lectures on Wavelets, ser. CBMS-NSF Appl. Math. 61. Philadelphia, PA: SIAM, 1992.
15. J. Tuqun and P. P. Vaidyanathan, "A state-space approach to the design of globally optimal FIR energy compaction filters," IEEE Trans. Signal Processing, vol. 48, pp. 2822-2838, Oct. 2000.
16. M. Misiti, Y. Misiti, G. Oppenheim, and J. M. Poggi, Wavelet Toolbox User's Guide. Natick, MA: The Mathworks, 1996.
17. S. Hadjiloucas, R. K. H. Galvão, J. W. Bowen, R. Martini, M. Brucher-seifer, H. P. M. Pellemans, P. Haring-Bolívar, H. Kurz, J. Digby, G. M. Parkhurst, and J. M. Chamberlain, "Measurement of propagation constant in waveguides using wideband coherent THz spectroscopy," J. Opt. Soc. Amer. B, Opt. Phys., vol. 20, pp. 391-401, Feb. 2003.
18. S. M. Kay and S. L. Marple, Jr., "Spectrum analysis: A modern perspective," Proc. IEEE, vol. 69, pp. 1380-1419, Nov. 1981.
19. B. C. Kuo, Automatic Control Systems, 7th ed. Englewood Cliffs, NJ: Prentice-Hall, 1995.
20. Waveguide Handbook, Peregrinus, London, U.K., 1993. N. Marcuvitz.
21. R. Mendis and D. Grischkowsky, "Plastic ribbon THz waveguides, " J. Appl. Phys., vol. 88, pp. 4449-4451, Oct. 2000.
22. P. Van Overschee and B. DeMoor, "N4SID: Subspace algorithms for the identification of combined deterministic-stochastic systems," Automatics, vol. 30, pp. 75-93, Jan. 1994.
23. M. Verhaegen, "Identification of the deterministic part of MIMO state space models, given in innovations form from input-output data," Automatica, vol. 30, pp. 61-74, Jan. 1994.
24. R. K. H. Galvão, S. Hadjiloucas, V. M. Becerra, and J. W. Bowen, "Sub-space systems identification framework for the analysis of multimoded propagation of THz-transient signals," unpublished.
25. J. C. Goswami, K. Chan, and C. K. Chui, "An application of fast integral wavelet transform to waveguide mode identification," IEEE Trans. Microwave Theory Tech., vol. 43, pp. 655-663, Mar. 1995.