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A Wavelet Packet Algorithm for Classification and Detection of Moving Vehicles

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Abstract

In this paper we propose a robustalgorithm that solves two related problems: 1) Classificationof acoustic signals emitted by different moving vehicles. Therecorded signals have to be assigned to pre-existing categoriesindependently from the recording surrounding conditions. 2) Detectionof the presence of a vehicle in a certain class via analysisof its acoustic signature against the existing database of recordedand processed acoustic signals. To achieve this detection withpractically no false alarms we construct the acoustic signatureof a certain vehicle using the distribution of the energies amongblocks which consist of wavelet packet coefficients. We allowno false alarms in the detection even under severe conditions;for example when the acoustic recording of target object is asuperposition of the acoustics emitted from other vehicles thatbelong to other classes. The proposed algorithm is robust evenunder severe noise and a range of rough surrounding conditions.This technology, which has many algorithmic variations, can beused to solve a wide range of classification and detection problemswhich are based on acoustic processing which are not relatedto vehicles. These have numerous applications.

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References

  1. A. Averbuch, F. G. Meyer, and J.-O. Strömberg, “Fast Adaptive Wavelet Packet Image Compression,” in IEEE Trans. Image Proc., 9:5, pp. 792–800, 2000.

    Google Scholar 

  2. A. Averbuch, and V. Zheludev, Construction of biorthogonal discrete wavelet transforms using interpolatory splines, Tel Aviv University, The School of Mathematical Sciences, Technical Report, 1999.

  3. L. Breiman, J. H. Friedman, R. A. Olshen, and C. J. Stone, Classification and Regression Trees, New York: Chapman & Hall, Inc., 1993.

    Google Scholar 

  4. J. Buckheit, and D. Donoho, “Improved Linear Discrimination Using Time-frequency Dictionaries, Proc. SPIE, 2569, 1995, pp. 540–551.

    Google Scholar 

  5. R. R. Coifman, and M. V. Wickerhauser, “Entropy-based Algorithms for Best Basis Selection,” IEEE Trans. Inf. Theory, vol. 38, 1992, pp. 713–719.

    Google Scholar 

  6. R. R. Coifman, Y. Meyer, and M. V. Wickerhauser, “Adapted Waveform Analysis, Wavelet-packets, and Applications,” In Proceedings of ICIAM'91, SIAM Press, Philadelphia, 1992, pp. 41–50.

    Google Scholar 

  7. R. R. Coifman, private communication, 1998.

  8. D. Donoho and I. Jonstone, “Ideal Denoising in an Orthonormal Basis Chosen from a Library of Bases. C.R. Acad. Sci. Paris, Série I, 319, 1994, pp. 1317–1322.

    Google Scholar 

  9. I. Daubechies, “Ten Lectures on Wavelets,” SIAM, 1992.

  10. K. B. Eom, “Analysis of Acoustic Signatures from Moving Vehicles Using Time-varying Autoregressive Models,” Multidimensional Systems and Signal Processing, vol. 10, 1999, pp. 357–378.

    Google Scholar 

  11. R. A. Fisher, “The Use of Multiple Measurements in Taxonomic Problems,” Ann. Eugenics, vol. 7, 1936, pp. 179–188.

    Google Scholar 

  12. Q. Jiang, S. S. Goh, and Z. Lin, “Local Discriminant Time-frequency Atoms for Signal Classification, Signal Processing, vol. 72, 1999, pp. 47-52.

    Google Scholar 

  13. R. E. Karlsen, G. R. Gerhart, D. Gorsich, and H. C. Choe, “Wavelet-based Ground Vehicle Acoustic Recognition System,” Proceedings Seventh Annual: Ground Target Modeling and Validation Conference, August 1996, pp. 249–256.

  14. S. Mallat, A Wavelet Tour of Signal Processing, Acad Press, 1998.

  15. S. Mallat and Z. Zhang, “Matching Pursuit with Time-frequency Dictionaries, IEEE Trans. Sign. Proc., vol. 41, no. 12, 1993, pp. 3397–3415.

    Google Scholar 

  16. N. Saito and R. R. Coifman, “Local Discriminant Bases and Their Application, J. Mathematical Imaging and Vision, vol. 5, 1995, pp. 337–358.

    Google Scholar 

  17. N. Saito and R. R. Coifman, “Improved Local Discriminant Bases Using Probability Density Estimation,” Proc. Am. Statist. Assoc., Statistical Computing Section, vol. 5, 1996, pp. 312–321.

    Google Scholar 

  18. N. Saito and R. R. Coifman, “Extraction of Geological Information from AcousticWell-loggingWaveforms using Time-frequency Wavelets,” Geophysics, vol. 62, 1997, pp. 1921-1930.

    Google Scholar 

  19. W.V. Wickerhauser, Adapted Wavelet Analysis from Theory to Software, Wellesley, Massachusetts: AK Peters, 1994.

    Google Scholar 

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Averbuch, A., Hulata, E., Zheludev, V. et al. A Wavelet Packet Algorithm for Classification and Detection of Moving Vehicles. Multidimensional Systems and Signal Processing 12, 9–31 (2001). https://doi.org/10.1023/A:1008455010040

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