Chirplet parameter estimator based on ellipse fitting in time-frequency distributions for ultrasonic NDE applications

Estimating the parameters of chirp signals is essential in several important applications such as radar, sonar and ultrasonic imaging. Chirp pulses characterize dispersive media, and they are also very effective for pulse compression and improved echo detection. Furthermore, in Doppler ultrasound velocimetry, frequency-change associated with moving object can be characterized by chirp rate estimation. Time-Frequency Distributions (TFDs) of signals with chirplet components result in elliptical contours. In this study, a chirplet parameter estimator by means of ellipse fitting in time-frequency plane is developed. This estimator performs robustly in presence of the noise and offer much lower computation complexity compared to conventional methods.

[1]  Yu Zhang,et al.  Microembolic signal characterization using adaptive chirplet expansion. , 2005, IEEE transactions on ultrasonics, ferroelectrics, and frequency control.

[2]  Pooi Yuen Kam,et al.  Improved, Approximate, Time-Domain ML Estimators of Chirp Signal Parameters and Their Performance Analysis , 2009, IEEE Transactions on Signal Processing.

[3]  P. Flandrin,et al.  Chirp hunting , 1998, Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis (Cat. No.98TH8380).

[4]  Simon Haykin,et al.  The chirplet transform: physical considerations , 1995, IEEE Trans. Signal Process..

[5]  J. Grajal,et al.  Atomic decomposition for radar applications , 2008, IEEE Transactions on Aerospace and Electronic Systems.

[6]  J. Saniie,et al.  A successive parameter estimation algorithm for chirplet signal decomposition , 2006, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[7]  Andrew W. Fitzgibbon,et al.  A Buyer's Guide to Conic Fitting , 1995, BMVC.

[8]  Khaled H. Hamed,et al.  Time-frequency analysis , 2003 .

[9]  D.A. Hutchins,et al.  The application of time-frequency analysis to the air-coupled ultrasonic testing of concrete , 2006, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[10]  Jafar Saniie,et al.  A high-fidelity time-frequency representation for ultrasonic signal analysis , 2003, IEEE Symposium on Ultrasonics, 2003.

[11]  Kenichi Kanatani,et al.  Statistical Bias of Conic Fitting and Renormalization , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Andrew W. Fitzgibbon,et al.  Direct least squares fitting of ellipses , 1996, Proceedings of 13th International Conference on Pattern Recognition.

[13]  J. Saniie,et al.  Model-based estimation of ultrasonic echoes. Part I: Analysis and algorithms , 2001, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[14]  Jianping Wu Robust Real-Time Ellipse Detection by Direct Least-Square-Fitting , 2008, 2008 International Conference on Computer Science and Software Engineering.

[15]  Bruno Torrésani,et al.  Time-Frequency and Time-Scale Analysis , 1999 .

[16]  Aykut Bultan A four-parameter atomic decomposition of chirplets , 1999, IEEE Trans. Signal Process..

[17]  S. Qian Introduction to Time-Frequency and Wavelet Transforms , 2001 .

[18]  Stéphane Mallat,et al.  Matching pursuits with time-frequency dictionaries , 1993, IEEE Trans. Signal Process..

[19]  Leopoldo Angrisani,et al.  A measurement method based on a modified version of the chirplet transform for instantaneous frequency estimation , 2002, IEEE Trans. Instrum. Meas..

[20]  Willy Wong,et al.  Investigation of Short-Term Changes in Visual Evoked Potentials With Windowed Adaptive Chirplet Transform , 2008, IEEE Transactions on Biomedical Engineering.

[21]  Andrew W. Fitzgibbon,et al.  Direct Least Square Fitting of Ellipses , 1999, IEEE Trans. Pattern Anal. Mach. Intell..