A Blind Source Separation Technique for Extracting Sinusoidal Interferences in Ultrasonic Non-Destructive Testing

Sinusoidal interferences are found in ultrasonic signals when we try to characterize a material, as for example interferences coming from PC cards. We are interested in obtaining a robust method that cancels these interferences preserving the waveform of the signal. A Blind Source Separation method to extract these sinusoids is presented in this paper. We will get so many linear mixtures of the backscattering echo of the material and the sinusoids as we need from different pulse responses of the material.

[1]  Luis Vergara,et al.  Applying acoustic array processing to the estimation of the propagation speed of waves in a car exhaust , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[2]  Sidney C. Port,et al.  Probability, Random Variables, and Stochastic Processes—Second Edition (Athanasios Papoulis) , 1986 .

[3]  Erkki Oja,et al.  Independent component analysis: algorithms and applications , 2000, Neural Networks.

[4]  J. Shynk.  Adaptive IIR filtering , 1989, IEEE ASSP Magazine.

[5]  Te-Won Lee.  Independent Component Analysis , 1998, Springer US.

[6]  E. Oja,et al.  Independent Component Analysis , 2013 .

[7]  Richard M. Everson,et al.  Independent Component Analysis: Principles and Practice , 2001 .

[8]  Arye Nehorai.  A minimal parameter adaptive notch filter with constrained poles and zeros , 1985, IEEE Trans. Acoust. Speech Signal Process..

[9]  José Manuel Páez-Borrallo,et al.  Backscattering grain noise modelling in ultrasonic non-destructive testing , 1991 .

[10]  Jean-Francois Cardoso,et al.  Blind signal separation: statistical principles , 1998, Proc. IEEE.

[11]  Shun-ichi Amari,et al.  Adaptive blind signal processing-neural network approaches , 1998, Proc. IEEE.

[12]  Pierre Comon,et al.  Independent component analysis, A new concept? , 1994, Signal Process..

[13]  A. W. Kemp,et al.  Kendall's Advanced Theory of Statistics. , 1994 .

[14]  Luis Vergara-Dominguez.  New insights into the high-order Yule-Walker equations , 1990, IEEE Trans. Acoust. Speech Signal Process..

[15]  L. Vergara,et al.  Studies on ultrasonic scattering from quasi-periodic structures , 1997, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[16]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[17]  Steven Kay,et al.  Modern Spectral Estimation: Theory and Application , 1988 .

[18]  Phillip A. Regalia,et al.  An improved lattice-based adaptive IIR notch filter , 1991, IEEE Trans. Signal Process..