Signal detection and noise suppression using a wavelet transform signal processor: application to ultrasonic flaw detection

The utilization of signal processing techniques in nondestructive testing, especially in ultrasonics, is widespread. Signal averaging, matched filtering, frequency spectrum analysis, neural nets, and autoregressive analysis have all been used to analyze ultrasonic signals. The Wavelet Transform (WT) is the most recent technique for processing signals with time-varying spectra. Interest in wavelets and their potential applications has resulted in an explosion of papers; some have called the wavelets the most significant mathematical event of the past decade. In this work, the Wavelet Transform is utilized to improve ultrasonic flaw detection in noisy signals as an alternative to the Split-Spectrum Processing (SSP) technique. In SSP, the frequency spectrum of the signal is split using overlapping Gaussian passband filters with different central frequencies and fixed absolute bandwidth. A similar approach is utilized in the WT, but in this case the relative bandwidth is constant, resulting in a filter bank with a self-adjusting window structure that can display the temporal variation of the signal's spectral components with varying resolutions. This property of the WT is extremely useful for detecting flaw echoes embedded in background noise. The detection of ultrasonic pulses using the wavelet transform is described and numerical results show good detection even for signal-to-noise ratios (SNR) of -15 dB. The improvement in detection was experimentally verified using steel samples with simulated flaws.

[1]  Steven P. Neal,et al.  An Application of Wavelet Signal Processing to Ultrasonic Nondestructive Evaluation , 1996 .

[2]  Kevin D. Donohue,et al.  Spectral correlation filters for flaw detection , 1995, 1995 IEEE Ultrasonics Symposium. Proceedings. An International Symposium.

[3]  Pankaj K. Das,et al.  Wavelet transform signal processing for dispersion analysis of ultrasonic signals , 1995, 1995 IEEE Ultrasonics Symposium. Proceedings. An International Symposium.

[4]  David L. Donoho,et al.  De-noising by soft-thresholding , 1995, IEEE Trans. Inf. Theory.

[5]  Feng Bao,et al.  Scale-translation filtering for wideband correlated noise attenuation , 1995, Defense, Security, and Sensing.

[6]  M. Gindre,et al.  Echography using correlation techniques: choice of coding signal , 1994, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[7]  Pankaj K. Das,et al.  Application of wavelet transform signal processor to ultrasound , 1994, 1994 Proceedings of IEEE Ultrasonics Symposium.

[8]  Nihat M. Bilgutay,et al.  Flaw detection in stainless steel samples using wavelet decomposition , 1994, 1994 Proceedings of IEEE Ultrasonics Symposium.

[9]  L. G. Weiss Wavelets and wideband correlation processing , 1994, IEEE Signal Processing Magazine.

[10]  J. Saniie,et al.  Generalized time-frequency representation of ultrasonic signals , 1993 .

[11]  S.P. Neal,et al.  Flaw signature estimation in ultrasonic nondestructive evaluation using the Wiener filter with limited prior information , 1993, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[12]  G. Strang Wavelet transforms versus Fourier transforms , 1993, math/9304214.

[13]  P. Benoist,et al.  Wavelets and Nondestructive Evaluation , 1993 .

[14]  K. D. Donohue,et al.  Maximum likelihood estimation of A-scan amplitudes for coherent targets in media of unresolvable scatterers , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[15]  Athina P. Petropulu,et al.  Detection of transients using discrete wavelet transform , 1992, [Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[16]  R. Murthy,et al.  Spectral histogram using the minimization algorithm-theory and applications to flaw detection , 1992, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[17]  R. B. Thompson,et al.  Relationship of microstructure to backscattered ultrasonic noise , 1992 .

[18]  O. Rioul,et al.  Wavelets and signal processing , 1991, IEEE Signal Processing Magazine.

[19]  Pankaj K. Das,et al.  Optical Signal Processing: Fundamentals , 1991 .

[20]  Ingrid Daubechies,et al.  The wavelet transform, time-frequency localization and signal analysis , 1990, IEEE Trans. Inf. Theory.

[21]  J. Aussel Split-spectrum processing with finite impulse response filters of constant frequency-to-bandwidth ratio , 1990 .

[22]  Steven P. Neal,et al.  The Measurement and Analysis of Acoustic Noise as a Random Variable , 1990 .

[23]  Josef Krautkrämer,et al.  Historical Survey of Developments , 1990 .

[24]  L. Cohen,et al.  Time-frequency distributions-a review , 1989, Proc. IEEE.

[25]  William J. Williams,et al.  Improved time-frequency representation of multicomponent signals using exponential kernels , 1989, IEEE Trans. Acoust. Speech Signal Process..

[26]  Richard Kronland-Martinet,et al.  Reading and Understanding Continuous Wavelet Transforms , 1989 .

[27]  Zane W. Bell,et al.  Use of the Analytic Signal in Ultrasonic Imaging , 1985 .

[28]  A. Grossmann,et al.  Cycle-octave and related transforms in seismic signal analysis , 1984 .

[29]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[30]  J. L. Rose,et al.  Elements of a feature-based ultrasonic inspection system , 1984 .

[31]  E. S. Furgason,et al.  Flaw-to-grain echo enhancement by split-spectrum processing , 1982 .

[32]  P M Gammell,et al.  Analogue implementation of analytic signal processing for pulse-echo systems. , 1981, Ultrasonics.

[33]  P. M. Gammell,et al.  Improved ultrasonic detection using the analytic signal magnitude , 1981 .

[34]  Nihat M. Bilgutay,et al.  Flaw Visibility Enhancement by Split-Spectrum Processing Techniques , 1981 .

[35]  E. S. Furgason,et al.  Evaluation of a Random Signal Correlation System for Ultrasonic Flaw Detection , 1976, IEEE Transactions on Sonics and Ultrasonics.

[36]  J. Krautkrämer,et al.  Ultrasonic Testing of Materials , 1969 .

[37]  Dennis Gabor,et al.  Theory of communication , 1946 .