volume | PIER Journals

Abstract

A technique for natural frequency extraction without a prior knowledge of the number of natural frequencies is proposed. The proposed scheme is based on the GPOF method with the overestimated number of natural frequencies, and it has been shown from simulation result that the proposed method is superior to the GPOF method. The method is applied to the extraction of the natural frequencies of the thin wires whose exact natural frequencies are known. While the absence of the true natural frequency has much effect on the transient response reconstruction, the absence of the spurious natural frequency has little effect on the transient response reconstruction. Using the above property, true natural frequencies and spurious natural frequencies can be discriminated.

1. Rothwell, E. J., D. P. Nyquist, K. M. Chen, and B. Drachman, "Radar target discrimination using the extinction-pulse technique," IEEE Trans. on Ant. and Prop., Vol. 33, 929-936, Sept. 1985.
doi:10.1109/TAP.1985.1143697 Google Scholar

2. Chen, K. M., D. P. Nyquist, E. J. Rothwell, L. Webb, and W. M. Sun, "Newprogress on E/S pulse technique for noncooperative target recognition," IEEE Trans. on Ant. and Prop., Vol. 40, 829-833, July 1992.
doi:10.1109/8.155748 Google Scholar

3. Blanco, D., D. P. Ruiz, E. Alameda, and M. C. Carrion, "An asymptotically unbiased E-pulse-based scheme for radar target discrimination," IEEE Trans. on Ant. and Prop., Vol. 52, 1348-1350, May 2004.
doi:10.1109/TAP.2004.827251 Google Scholar

4. Lee, J.-H., I.-S. Choi, and H.-T. Kim, "Natural frequency-based neural network approach to radar target recognition," IEEE Trans. on Signal Processing, Vol. 51, 3191-3197, Dec. 2003.
doi:10.1109/TSP.2003.818908 Google Scholar

5. Lee, J.-H. and H.-T. Kim, "Radar target discrimination using transient response reconstruction," Journal of Electromagnetic Waves and Applications, Vol. 19, 655-669, May 2005.
doi:10.1163/1569393053305062 Google Scholar

6. Tesche, F. M., "On the analysis of scattering and antenna problems using the singularity expansion technique," IEEE Trans. on Ant. and Prop., Vol. 21, 53-61, Jan. 1973.
doi:10.1109/TAP.1973.1140398 Google Scholar

7. Hua, Y. and T. K. Sarkar, "Generalized pencil-of-function method for extracting poles of an EM system from its transient response," IEEE Trans. on Ant. and Prop., Vol. 37, 229-234, Feb. 1989.
doi:10.1109/8.18710 Google Scholar

8. Hua, Y. and T. K. Sarkar, "Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise," IEEE Trans. on Acoust., Speech, Signal Processing, Vol. 38, 814-824, May 1990.
doi:10.1109/29.56027 Google Scholar

9. Hua, Y., "Parameter estimation of exponentially damped sinusoids using higher order statistics and matrix pencil," IEEE Trans. on Acoust., Speech, Signal Processing, Vol. 39, 1691-1692, Jul. 1991.
doi:10.1109/78.134411 Google Scholar

10. Wax, M. and T. Kailath, "Detection of signals by information theoretic criteria," IEEE Trans. on Acoust., Speech, Signal Processing, Vol. 33, 387-392, Apr. 1985.
doi:10.1109/TASSP.1985.1164557 Google Scholar

11. Wax, M. and I. Ziskind, "Detection of number of coherent signals by the MDL principle," IEEE Trans. on Acoust., Speech, Signal Processing, Vol. 37, 1190-1196, Aug. 1989.
doi:10.1109/29.31267 Google Scholar

12. Fishler, E. and H. Messer, "On the use of order statistics for improved detection of signals by the MDL criterion," IEEE Trans. on Signal Processing, Vol. 48, 2242-2247, Aug. 2000.
doi:10.1109/78.852005 Google Scholar

13. Liavas, A. and P. Regalia, "On the behavior of information theoretic criteria for model order selection," IEEE Trans. on Signal Processing, Vol. 49, 1689-1695, Aug. 2001.
doi:10.1109/78.934138 Google Scholar

Professor Joon-Ho Lee

Dr. Hyo-Tae Kim