Acoustic Experimental Signal Analysis Using an Adaptive Neuro-Fuzzy Inference System and Different Time-Frequency Techniques


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


In this paper we have used several parametric and non-parametric time-frequency techniques to analyse an acoustic experimental signal backscattered by an air-filled circular cylindrical shell immersed in water. Seven time-frequency techniques were examined, namely Smoothed Pseudo Wigner-Ville (SPWV), Wavelet transform (WT), Spectrogram (SP), Reassigned Spectrogram (RSP), Choi Williams (CW), Bessel Distribution (BD) and Time-Varying autoregressive spectrum (TVARS). This study allows comparing between these different time-frequency representations. These techniques and the proper modes theory (PMT) are used to compare and valid the frequencies values predicted by the adaptive neuro-fuzzy inference system (ANFIS). The useful data of the cut-off frequencies are used to train and to test the performances of the ANFIS model. These data are determined from the values calculated using the PMT and from those determined using the different time-frequency images of the acoustic experimental signal. The results of comparison, between the time-frequency techniques, permit to choose the technique which gives a good precision for determination of the cut-off frequencies of circumferential waves propagated around the circumference of the cylindrical shell. The ANFIS model is able to modeling and to predict the cut-off frequencies, of the symmetric S1 and the anti-symmetric A1 circumferential waves, with a high precision of estimation errors such as mean relative error (MRE), mean absolute error (MAE) and standard error (SE). The longitudinal and transverse velocities of the material constituting a tube are determined from these cut-off frequencies. These parameters permit to characterise the materiel constituting a tube. The comparison of the results obtained by different time-frequency techniques shows that the Time-Varying autoregressive and the Reassigned Spectrogram are the best techniques that can be used to estimate the sought parameters with precision. The obtained values of these parameters are in good agreement with those given in the scientific literature.
Copyright © 2013 Praise Worthy Prize - All rights reserved.

Keywords


Time-Frequency; Smoothed Pseudo Wigner-Ville; Wavelet Transform; Spectrogram; Reassigned Spectrogram; Choi Williams; Bessel Distribution; Time-Varying Autoregressive Spectrum; ANFIS; Acoustic Signal; Cut-Off Frequency; Longitudinal and Transverse Velociti

Full Text:

PDF


References


R. Latif, E. H. Aassif, G. Maze, D. Decultot, A. Moudden, B. Faiz, Analysis of the circumferential acoustic waves backscattered by a tube using the time-frequency representation of Wigner-Ville, Journal of Measurement Science and Technology, vol. 11, n. 1, 2000, pp. 83-88.

R. Latif, E. Aassif, G. Maze, A. Moudden, B. Faiz, Determination of the group and phase velocities from time-frequency representation of Wigner-Ville, NDT&E International, vol. 32, n. 7, 1999, pp. 415-422.

R. Latif, E. Aassif, A. Moudden, B. Faiz, G. Maze, The experimental signal of a multilayer structure analysis by the time-frequency and spectral methods, Journal NDT&E International, vol. 39, 2006, pp. 349-355.

R. Latif, E. Aassif, A. Moudden, B. Faiz, High resolution time-frequency analysis of an acoustic signal backscattered by a cylindrical shell using a Modified Wigner-Ville representation, Meas. Sci. Technol., vol. 14, 2003, pp. 1063-1067.

R. Latif, E. Aassif, M. Laaboubi, G. Maze, Détermination de l’épaisseur d’un tube élastique à partir de l’analyse temps-fréquence de Wigner-Ville, Acta Acustica united with Acustica, vol. 95, 2009, pp. 253-257.

M. Niethammer, L.J. Jacobs, J. Qu, J. Jarzynski, Time–frequency representation of Lamb waves using the reassigned spectrogram, J. Acoust. Soc. Am., vol. 107, 2000, pp.19-24.

P. Flandrin, Temps-fréquence (Hermès, Paris, 1993).

L. Cohen, Time-frequency analysis (Englewood Cliffs, NJ: Prentice Hall, 1995).

A. Marec, J. H. Thomas, R. El Guerjouma, Damage characterization of polymer-based composite materials: Multivariable analysis and wavelet transform for clustering acoustic emission data, Mechanical Systems and Signal Processing, vol. 22, 2008, pp. 1441–1464.

A. Velayudham, R. Krishnamurthy, T. Soundarapandian, Acoustic emission based drill condition monitoring during drilling of glass/phenolic polymeric composite using wavelet packet transform, Materials Science and Engineering A 412, 2005, pp. 141–145.

M. Laaboubi, E. Aassif, R. Latif , G. Maze, A.Moudden, A.Dliou, Analysis of the acoustic signal backscattered by a multi-layer structure with the spectrogram and the wavelet time-frequency methods, 10ème Congrès Français d'Acoustique, 12-16 Avril, 2010, Lyon, France.

C. Guedes Soares, Z. Chernevaz, Spectrogram analysis of the time-frequency characteristics of ocean wind waves, Ocean engineering , vol. 32, n. 14, 2005, pp. 1643-1663.

A. Z. Bin Sha'ameri, Spectrogram time-frequency analysis and classification of digital modulation signals, IEEE International Conference on Telecommunications and Malaysia International Conference on Communications, ~ICT-MICC~, 2007, Malaysia.

M. Laaboubi, E. Aassif, R. Latif, G. Maze, A. Moudden, Time-frequency Spectrogram Analysis of Acoustic Signals Backscattered by an Air-Filled Aluminium Tube Immersed in Water, International review on Computers and Software IRECOS, vol. 5, n. 2, 2010, pp. 145-150.

E. Chassande-Mottin, F. Auger, and P. Flandrin, Time-frequency/time-scale reassignment, in Wavelets and Signal Processing, (L. Debnath, Ed., Birkhäauser, Boston, 2001).

F. Auger and P. Flandrin, Improving the readability of time-frequency and time-scale representations by the reassignment method, IEEE Trans. Signal Process. SP-43(5), 1995, pp. 1068–1089.

P. Flandrin, F. Auger, and E. Chassande-Mottin, Time-Frequency Reassignment: From Principles to Algorithms, (Applications in Time-Frequency Signal Processing, P.-S. Antonia, pp. 179-203, Ed. 2003).

R. Latif, E. Aassif, M. Laaboubi, G. Maze, Dimensional characterization of an elastic tube using the spectrogram and the reassigned spectrogram time-frequency analysis, 4th International Symposium on Communications, Control and Signal Processing, ~ISCCSP~, 2010, Limassol.

S. Mahmoud, Q. Fang, I. Cosic, Z. Hussain, Effects of extremely low frequency electromagnetic fields on electrocardiogram: analysis with quadratic time-frequency distributions, 27th Annual International Conference of the Engineering in Medicine and Biology Society, ~IEEE-EMBS~, 2005, Shanghai.

A. Dliou, R. Latif, M. Laaboubi, F. M. R. Maoulainine, Arrhythmia ECG Signal Analysis using Non Parametric Time-Frequency Techniques, International Journal of Computer Applications, vol. 41, n. 4, 2012, pp. 25-30.

M. Moura, A. Leiria, M. G. Ruano, Fast calculation of the bessel time-frequency distribution, 15th Triennial World Congress, 2002, Barcelona, Spain.

G. Zhenyu, L.-G. Durand, H.C Lee, The time-frequency distributions of nonstationary signals based on a Bessel kernel, IEEE Transactions on Signal Processing, vol. 42 , n. 7, 1994.

S. Chukiet, Time-varying autoregressive modeling for non-stationary acoustic signal and its frequency analysis, Ph.D. Acoustics, Pennsylvania State University, 2003.

R. Latif, E. Aassif, M. Laaboubi, G. Maze, Determination of group velocity using the time-varying Autoregressive TVAR, Conference international, ~ IEEE ISSPA~, 2007, Sharjah, UAE.

R. Latif, M. Laaboubi, E. Aassif, A. Moudden, G. Maze, Determination of the cut-off frequency of the anti-symmetric circumferential waves using the time-varying autoregressive TVAR, 3rd International Symposium on Communications, Control and Signal Processig, ~IEEE ISCCSP’08~, March 12-14, 2008, St Julians, Malta.

J-SR. Jang, ANFIS: Adaptive-network-based fuzzy inference systems, IEEE Trans Syst Man Cybern, vol. 23, n. 3, 1993, pp. 665–685.

A. Sargolzaei, K. Faez, A new method for Foetal Electrocardiogram extraction using Adaptive Nero-Fuzzy Interference System trained with PSO algorithm, International Conference on Electro/Information Technology, ~IEEE-EIT’11~, 2011, Mankato.

R. Swarnalatha, D.V. Prasad, Foetal ECG extraction using combination of wavelets and hybrid-algorithm-based ANFIS, International Journal of Healthcare Technology and Management, vol. 11, n. 3, 2010, pp. 133-150.

S. Hemajothi, K. HelenPrabha, ANFIS and Adaptive Equalizer for Noise Cancellation in Abdominal Signal, European Journal of Scientific Research, vol.79, n.1, 2012, pp.59-67.

A. Dariouchy, E. Aassif, G. Maze, R. Latif, D. Decultot, M. Laaboubi, Prediction of the Acoustic Pressure Backscattered by a Steel Tube Using Neural Networks Approach, International Symposium on Computational Intelligence and Intelligent Informatics, ~ISCIII'07~, March 28-30, 2007, Agadir, Morocco.

Z. Guo, L.G. Durand, H.C. Lee, The TimeFrequency Distributions of Nonstationary Signals Based on a Bessel Kernel, IEEE Trans. on Signal Proc., vol. 42, 1994, pp. 1700-1707.

J. Jeong, W. Williams, Kernel design for reduced interference distributions, IEEE Trans. Signal Processing, Vol. 40, n. 2, 1992, pp. 402–412.

S.M. Kay, Modern Spectral Estimation (Prentice Hall, Englewood Cliffs, 1988).

A. Dariouchy, E. Aassif, G. Maze, D. Décultot, A. Moudden, Prediction of the acoustic form function by neural network techniques for immersed tubes, J. Acoust. Soc. Am. Vol. 124, n. 2, 2008, pp. 1018-1025.

V. C. Protopappas, D. I. Fotiadis, K. N. Malizos, Guided ultrasound wave propagation in intact and healing long bones, Ultrasound in Med. & Biol., Vol. 32, n. 5, 2006, pp. 693–708.

F. Lefebvre, Y. Deblock, P. Campistron, D. Ahite, J. Fabre, Development of a new ultrasonic technique for bone and biomaterials in vitro characterization, Biomed Mater Res, Vol. 63, n. 4, 2002, pp. 441– 446.

J. D. N. Cheeke, Fundamentals and applications of ultrasonic waves (Boca Raton, CRC Press, 2002).

J. L. Rose, Ultrasonic waves in solid media (Cambridge, Cambridge University Press, 1999).


Refbacks

  • There are currently no refbacks.


Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize