Chirplet Signal and Empirical Mode Decompositions of Ultrasonic Signals for Echo Detection and Estimation

Abstract

In this study, the performance of chirplet signal decomposition (CSD) and empirical mode decomposition (EMD) coupled with Hilbert spectrum have been evaluated and compared for ultrasonic imaging applications. Numerical and experimental results indicate that both the EMD and CSD are able to decompose sparsely distributed chirplets from noise. In case of signals consisting of multiple interfering chirplets, the CSD algorithm, based on successive search for estimating optimal chirplet parameters, outperforms the EMD algorithm which estimates a series of intrinsic mode functions (IMFs). In particular, we have utilized the EMD as a signal conditioning method for Hilbert time-frequency representation in order to estimate the arrival time and center frequency of chirplets in order to quantify the ultrasonic signals. Experimental results clearly exhibit that the combined EMD and CSD is an effective processing tools to analyze ultrasonic signals for target detection and pattern recognition.

Share and Cite:

Y. Lu, E. Oruklu and J. Saniie, "Chirplet Signal and Empirical Mode Decompositions of Ultrasonic Signals for Echo Detection and Estimation," Journal of Signal and Information Processing, Vol. 4 No. 2, 2013, pp. 149-157. doi: 10.4236/jsip.2013.42022.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] J. Berriman, D. Hutchins, N. Adrian, G. Tat and P. Purnell, “The Application of Time-Frequency Analysis to the Air-Coupled Ultrasonic Testing of Concrete,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 53, No. 4, 2006, pp. 768-776.
[2] W. Kuang and A. Morris, “Using Short-Time Fourier Transform and Wavelet Packet Filter Banks for Improved Frequency Measurement in a Doppler Robot Tracking System,” IEEE Transactions on Instrumentation and Measurement, Vol. 51, No. 3, 2002, pp. 440-444. doi:10.1109/TIM. 2002.1017713
[3] J. Saniie, D. T. Nagle and K. D. Donohue, “Analysis of Order Statistic Filters Applied to Ultrasonic Target Detection Using Split Spectrum Processing,” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 38, No. 2, 1991, pp. 133-140. doi:10.1109/58.68470
[4] N. Huang, Z. Shen, S. Long, M. Wu, H. Shih, Q. Zheng, N. Yen, C. Tung and H. Liu, “The Empirical Mode Decomposition and the Hilbert Spectrum for Nonlinear and Non-Stationary Time Series Analysis,” Proceedings of Royal Society London, Vol. 454, No. 1971, 1998, pp. 903-995. doi:10.1098/rspa.1998.0193
[5] N. Huang and S. Shen, “Hilbert-Huang Transform and Its Applications, Interdisciplinary Mathematical Sciences,” World Scientific Publishing Co., The Singapore City, 2005.
[6] N. Huang and N. Attoh-Okine, “The Hilbert-Huang Transform in Engineering,” CRC Press, Taylor and Francis Publishing Group, Boca Raton, 2005.
[7] Y. Zhang, Y. Gao, L. Wang, J. Chen and X. Shi, “The Removal of Wall Components in Doppler Ultrasound Signals by Using the Empirical Mode Decomposition Algorithm,” IEEE Transactions on Biomedical Engineering, Vol. 54, No. 9, 2007, pp. 1631-1642. doi:10.1109/TBME.2007.891936
[8] H. Liang, Q. Lin and J. Chen, “Application of the Empirical Mode Decomposition to the Analysis of Esophageal Manometric Data in Gastroesophageal Reflux Disease,” IEEE Transactions on Biomedical Engineering, Vol. 52, No. 10, 2005, pp. 1692-1701. doi:10.1109/TBME.2005.855719
[9] M. Li, X. Gu and P. Shan, “Time-Frequency Distribution of Encountered Waves Using Hilbert-Huang Transform,” International Journal of Mechanics, Vol. 1, No. 2, 2007, pp. 27-32.
[10] G. Ge, E. Sang, Z. Liu and B. Zhu, “Underwater Acoustic Feature Extraction Based on Bidimensional Empirical Mode Decomposition in Shadow Field,” IEEE Proceedings of Signal Design and its Applications in Communcations, Chengdu, 23-27 September 2007, pp. 365-367.
[11] N. Bi, Q. Sun, D. Huang, Z. Yang and J. Huang, “Robust Image Watermarking Based on Multiband Wavelets and Empirical Mode Decomposition,” IEEE Transaction on Image Processing, Vol. 16, No. 8, 2007, pp. 1956-1966. doi:10.1109/TIP.2007.901206
[12] N. Senroy, “Generator Coherency Using the HilbertHuang Transform,” IEEE Transactions on Power Systems, Vol. 23, No. 4, 2008, pp. 1701-1708. doi:10.1109/TPWRS.2008.2004736
[13] R. Yan and R. Gao, “Hilbert-Huang Transform-Based Vibration Signal Analysis for Machine Health Monitoring,” IEEE Transactions on Instrumentation and Measurement, Vol. 55, No. 6, 2006, pp. 2320-2329. doi:10.1109/TIM.2006.887042
[14] M. Molla and K. Hirose, “Single-Mixture Audio Source Separation by Subspace Decomposition of Hilbert Spectrum,” IEEE Transactions on Audio, Speech, and Language Processing, Vol. 15, No. 3, 2007, pp. 893-900. doi:10.1109/TASL.2006.885254
[15] Y. Lu, E. Oruklu and J. Saniie, “Application of HilbertHuang Transform for Ultrasonic Nondestructive Evaluation,” IEEE Proceedings of Ultrasonics Symposium, Beijing, 2-5 November 2008, pp. 1499-1502.
[16] Y. Kopsinis and S. McLaughlin, “Investigation and Performance Enhancement of the Empirical Mode Decomposition Method Based on a Heuristic Search Optimization Approach,” IEEE Transactions on Signal Processing, Vol. 56, No. 1, 2008, pp. 1-13. doi:10.1109/TSP.2007.901155
[17] E. Delechelle, J. Lemonie and O. Niang, “Empirical Mode Decomposition: An Analytical Approach for Sifting Process,” IEEE Signal Processing Letters, Vol. 12, No. 11, 2005, pp. 764-767. doi:10.1109/LSP.2005.856878
[18] G. Rilling and P. Flandrin, “One or Two Frequencies? The Empirical Mode Decomposition Answers,” IEEE Transactions on Signal Processing, Vol. 56, No. 1, 2008, pp. 85-95. doi:10.1109/TSP. 2007.906771
[19] Y. Lu, R. Demirli, G. Cardoso and J. Saniie, “A Successive Parameter Estimation Algorithm for Chirplet Signal Decomposition,” IEEE Transaction on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 53, No. 11, 2006, pp. 2121-2131. doi:10.1109/TUFFC.2006.152
[20] Y. Lu, E. Oruklu and J. Saniie, “Fast Chirplet Transform with FPGA-Based Implementation,” IEEE Signal Processing Letters, Vol. 15, 2008, pp. 577-580. doi:10.1109/LSP.2008.2001816
[21] Y. Lu, R. Demirli, G. Cardoso and J. Saniie, “Chirplet Transform for Ultrasonic Signal Analysis and NDE Applications,” IEEE Proceedings of Ultrasonic Symposium, Rotterdam, 18-21 September 2005, pp. 18-21.
[22] Y. Lu, R. Demirli and J. Saniie, “A Comparative Study of Echo Estimation Techniques for Ultrasonic NDE Applications,” IEEE Proceedings of Ultrasonic Symposium, Vancouver, 2-6 October 2006, pp. 536-539.
[23] L. Cohen, “Time Frequency Analysis: Theory and Applications,” Prentice Hall, Upper Saddle River, 1994.
[24] Y. Lu, R. Demirli and J. Saniie, “Efficiency and Sensitivity Analysis of Chirplet Signal Decompsotion for Ultraosnic NDE Applications,” IEEE Proceedings of Ultrasonic Symposium, Vol. 1, 2007, pp. 1590-1593.
[25] E. Bedrosian, “A Product Theorem for Hilbert Transforms,” Proceedings of IEEE, Vol. 51, No. 5, 1963, pp. 868-869.
[26] E. Hermanowicz and M. Rojewski, “On Bedrosian Condition in Application to Chirp Sounds,” Proceedings of 15th European Signal Processing Conference, Poznań, 3-7 September 2007, pp. 1221-1225.
[27] E. Oruklu, Y. Lu and J. Saniie, “Hilbert Transform Pitfalls and Solutions for Ultrasonic NDE Applications,” IEEE Proceedings of Ultrasonic Symposium, Rome, 20-23 September 2009, pp. 2004-2007.
[28] J. Saniie and D. T. Nagle, “Analysis of Order-Statistic CFAR Threshold Estimators for Improved Ultrasonic Flaw Detection,” IEEE Transactions on Ferroelectrics and Frequency Control, Vol. 39, No. 5, 1992, pp. 618-630. doi:10.1109/58.156180

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.