Signal detection in underwater sound using wavelets

Journal of the American Statistical Association

Volumn 93, Issue 441, 1998, Pages 73-83

  Bailey, Trevor C ^a   Powell, Kenneth J ^a   Krzanowski, Wojtek J ^a   Sapatinas, Theofanis ^b  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Multivariate density estimation; Segmentation; Short time Fourier transform; Signal detection; Signal processing; Thresholding; Underwater sounds; Wavelet decomposition

Indexed keywords

EID: 0032357694     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1998.10474089     Document Type: Article

References (52)

1. Abramovich, F., and Benjamini, Y. (1996), "Adaptive Thresholding of Wavelet Coefficients," Computational Statistics and Data Analysis, 22, 351-361.
2. Abramovich, F., Sapatinas, T., and Silverman, B. W. (1996), "Wavelet Thresholding via a Bayesian Approach," Technical Report, University of Bristol, U.K., Dept, of Mathematics.
3. Abry, P., Goncalves, P., and Flandrin, P. (1995), "Wavelets. Spectrum Analysis and 1 Processes," in Wavelets and Statistics (Lccture Notes in Statistics 103), eds. A. Antoniadis, and G. Oppenheim, New York: Springer-Verlag, pp. 15-29.
4. Barnett, V., and Lewis, T. (1994), Outliers in Statistical Data. (3rd ed.), Chichester. U.K.: Wiley.
5. Boashash, B. (1990). "Time-Frequency Signal Analysis," in Advances in Spectrum Analysis and Array Processing, ed. S. Haykin, Englewood Cliffs, NJ: Prentice-Hall, pp. 418-517.
6. Boashash, B., and O'Shea, P. (1990), "A Methodology for Detection and Classification of Some Underwater Acoustic Signals Using Timc-Frequency Analysis Techniques," IEEE Transactions on Acoustics, Speech, and Signal Processing, 38, 1829-1841.
7. Chen, C. H. (1985), "Recognition of Underwater Transient Patterns," Pattern Recognition, 18, 485-490.
8. Cohen, L. (1989), "Time-Frequency Distributions-A Review," Proceedings of the IEEE, 77, 941-981.
9. Coifman, R. R., and Saito, N. (1994), "Construction of Local Orthonormal Bases for Classification and Regression," Comptes Rendus Academie Sciences, Paris, Serie A, 319, 191-196.
10. Creasey, D. J., Smith, B. V., and Gazey, B. K. (1989), "Underwater Acoustics and Sonar Systems-Signal Processing and Systems," Vol. 2, Lecture Notes, Birmingham University.
11. Dalhaus, R. (1997), "Fitting Time Series Models to Nonstationary Processes," The Annals of Statistics, 25, 1-37.
12. Daubechies, I. (1988), "Orthonormal Bases of Compactly Supported Wavelets," Communications in Pure and Applied Mathematics, 41, 909-996.
13. Daubechies, I. (1992), Ten Lectures on Wavelets, Philadelphia: SIAM.
14. Donoho, D. L. (1993), "Non-Linear Wavelet Methods for Recovery of Signals, Densities and Spectra From Indirect and Noisy Data," in Proceedings of Symposia in Applied Mathematics: Different Perspectives on Wavelets, 47, ed. I. Daubechies, San Antonio: American Mathematical Society, pp. 173-205.
15. Donoho, D. L., and Johnstone, I. M. (1994), "Ideal Spatial Adaption by Wavelet Shrinkage," Biometrika, 81, 425-455.
16. Donoho, D. L., and Johnstone, I. M. (1995), "Adapting to Unknown Smoothness via Wavelet Shrinkage," Journal of the American Statistical Association, 90, 1200-1224.
17. Donoho, D. L., and Johnstone, I. M., Kerkyacharian, G., and Picard, D. (1995), "Wavelet Shrinkage: Asymptopia?" (with discussion), Journal of the Royal Statistical Society, Ser. B, 57, 301-369.
18. Donoho, D. L., Mallat, S., and von Sachs, R. (1996), "Estimating Covariances of Locally Stationary Processes: Consistency of Best Basis Methods," in IEEE Conference on Time-Frequency/Time-Scale Methods, June 19%, Paris.
19. Friedlander, B., and Porat, B. (1984), "The Modified Yule-Walker Method of ARMA Spectral Estimation," IEEE Transactions on Aerospace Electronic Systems, 20, 158-173.
20. Gorman, R. P., and Sejnowski, T. J. (1988), "Analysis of Hidden Units in a Layered Network Trained to Classify Sonar Targets," Neural Networks, I. 75-89.
21. Johnstone, I. M., and Silverman, B. W. (1997), "Wavelet Threshold Estimators for Data With Correlated Noise," Journal of the Royal Statistical Society, Ser. B: 59, 319-351.
22. Jones, D. L., and Parks, T. W. (1992), "A Resolution Comparison of Several Time-Frequency Representations," IEEE Transactions on Signal Processing, 40, 413-420.
23. Khattree, R., and Naik, D. N. (1987), "Detection of Outliers in Bivariate Time Series Data," Communications in Statistics, Part A-Theory and Methods, 16, 3701-3714.
24. Learned, R. E., and Wilsky, A. S. (1995), "A Wavelet Packet Approach to Transient Signal Classification," Applied and Computational Harmonic Analysis, 2, 265-278.
25. Ludeman, L. C. (1986), Fundamentals of Digital Signal Processing, Cambridge: Harper & Row.
26. Mallat, S. G. (1989), "A Theory for Multiresolution Signal Decomposition: The Wavelet Representation," IEEE Transactions on Pattern Analysis and Machine Intelligence, 11, 674-693.
27. Meyer, Y. (1992), Wavelets and Operators, Cambridge, U.K.: Cambridge University Press.
28. Nason, G.P. (1993), 'The WaveThresh Package; Wavelet Transform and Thresholding for S," available from the Statlib archive.
29. Nason, G.P. (1995), "Choice of the Threshold Parameter in Wavelet Function Estimation," in Wavelets and Statistics (Lecture Notes in Statistics 103), eds. A. Antoniadis, and G. Oppenheim, New York: Springer-Verlag, pp. 261-280.
30. Nason, G.P. (1996), "Wavelet Shrinkage Using Cross-Validation," Journal of the Royal Statistical Society, Ser. B, 58, 463-479.
31. Nason, G. P., and Silverman, B. W. (1994), 'The Discrete Wavelet Transform in S," Journal of Computational and Graphical Statistics, 3, 163-191.
32. Nason, G. P., and Silverman, B. W. (1995), 'The Stationary Wavelet Transform and Some Statistical Applications," in Wavelets and Statistics, (Lecture Notes in Statistics 103), eds. A. Antoniadis, and G. Oppenheim, New York: Springcr-Verlag, pp. 281-300.
33. Neumann, M. H., and Spokoiny, V. G. (1995), "On the Efficiency of Wavelet Estimators Under Arbitrary Error Distributions," Mathematical Methods of Statistics, 4. 137-166.
34. Neumann, M. H., and von Sachs, R. (1997). "Wavelet Thresholding in Anisotropic Function Classes and Application to Adaptive Estimation of Evolutionary Spectra," The Annals of Statistics, 25, 38-76.
35. Ogden, T., and Parzen, E. (1996), "Change-Point Approach to Data Analytic Wavelet Thresholding," Statistics and Computing, 6, 93-99.
36. Pal, N. R., and Pal, S. K. (1993), "A Review on Image Segmentation Techniques," Pattern Recognition, 26, 1277-1294.
37. Penny, K. J. (1996), "Appropriate Critical Values When Testing for a Single Multivariate Outlier by Using the Mahalanobis Distance," Applied Statistics, 45, 73-81.
38. Powell, K. J., Sapatinas, T., Bailey, T. C., and Krzanowski, W. J. (1995), "Application of Wavelets to the Pre-Processing of Underwater Sounds," Statistics and Computing, 5, 265-273.
39. Ramsey, J. B., Usikov, D. and Zaslavsky, G. M. (1995), "An Analysis of U.S. Stock-Price Behaviour Using Wavelets," Fractals-An Interdisciplinary Journal on the Complex Geometry of Nature, 3, 377-389.
40. Remme, J., Habbema, J. D. F., and Hermans, J. (1980), "A Simulative Comparison of Linear, Quadratic and Kernel Discrimination," Journal of Statistical Computation atui Simulation, 11, 87-106.
41. Silverman, B. W. (1986), Density Estimation for Statistics and Data Analysis, London: Chapman and Hall.
42. Smith, D. J., Bailey, T. C., and Munford, A. G. (1993), "Robust Classification of High Dimensional Data Using Artificial Neural Networks," Statistics and Computing, 3, 71-81.
43. Smith, M. J., and Mersereau, R. M. (1992), Introduction to Digital Signal Processing. New York: Wiley.
44. Strang, G. (1993), "Wavelet Transforms Versus Fourier Transforms," Bulletin (New Series) of the American Mathematical Society, 28, 288-305.
45. Telfer, B. A., Szu, H. H., Dobeck, G. J., Garcia, J. P., Ko, H., Dubey A., and Witherspoon, N. (1994), "Adaptive Wavelet Classification of Acoustic and Backscatter and Imagery," Optical Engineering, 33, 2192-2203.
46. Tukey, P. A., and Tukey, J. W. (1981), "Graphical Display of Data Sets in 3 or More Dimensions," in Interpreting Multivariate Data, ed. V. Barnett, Chichester, U.K.: Wiley, pp. 189-275.
47. von Sachs, R., Nason, G., and Kroisandt, G. (1996), "Spectral Representation and Estimation for Locally Stationary Wavelet Processes," in Proceedings of the Workshop on Spline Functions and Wavelets, April 1996, Montreal, Canada.
48. Wand, M. P., and Jones, M. C. (1995), Kernel Smoothing, London: Chapman and Hall.
49. Wang, Y. (1995), "Jump and Sharp Cusp Detection by Wavelets," Biometrika, 82, 385-397.
50. Wang, Y. (1996), "Function Estimation via Wavelet Shrinkage for Long Memory Data," The Annals of Statistics, 24, 466-484.
51. Weyrich, N., and Warhola, G. T. (1995), "De-Noising Using Wavelets and Cross-Validation," in Approximation Theory, Wavelets and Applications, NATO ASI Scries C, 454, ed. S.P. Singh, Dordrecht: Kluwer, pp. 523-532.
52. Wierda, S. J. (1994), "Multivariate Statistical Process Control-Recent Results and Directions for Future Research," Statistica Neerlatuiica, 48, 147-168.