Signal detection in a nonstationary environment reformulated as an adaptive pattern classification problem

Proceedings of the IEEE

Volumn 86, Issue 11, 1998, Pages 2325-2344

  Haykin, Simon ^a,c   Thomson, David J ^{b,c,d,e,f,g,h,i,j,k,l}  

^a MCMASTER UNIVERSITY   (Canada)

^b NOKIA RESEARCH CENTER   (United States)

^c IEEE   (Canada)

^d LUCENT TECHNOLOGIES   (United States)

^e UNIVERSITY OF CALIFORNIA   (United States)

^f Och Spine at New York Presbyterian Hospitals   (United States)

^g WOODS HOLE OCEANOGRAPHIC INSTITUTION   (United States)

^h AMERICAN GEOPHYSICAL UNION   (United States)

ⁱ AMERICAN STATISTICAL ASSOCIATION   (United States)

^j Institute of Mathematical Statistics

^k Royal Statistical Society

^l Institute of Mathematical Statistics ^*

more..

Author keywords

[No Author keywords available]

Indexed keywords

LEARNING SYSTEMS; NEURAL NETWORKS; PATTERN RECOGNITION; SET THEORY; SIGNAL DETECTION; SPECTRUM ANALYSIS; TIME SERIES ANALYSIS;

DYNAMIC SPECTRUMS; LOEVE SPECTRUMS; NONSTATIONARY PROCESSES; WIGNER-VILLE DISTRIBUTIONS;

DIGITAL SIGNAL PROCESSING;

EID: 0032203370     PISSN: 00189219     EISSN: None     Source Type: Journal    
DOI: 10.1109/5.726792     Document Type: Article

References (52)

1. H. L. Van Trees, Detection, Estimation, and Modulation Theory, pt. 1. New York: Wiley, 1968.
2. R. N. McDonough and A.D. Whalen, Detection of Signals in Noise, 2nd ed. New York: Academic, 1995.
3. H. V. Poor, An Introduction to Signal Detection and Estimation. New York: Springer, 1988.
4. E. M. Glaser, "Signal detection by adaptive filters," IRE Trans. Inform. Theory, vol. IT-7, pp. 87-98, July 1960.
5. H. Tersranta, S. Urpo, S. Pohjolainen, and E-L. Leskinen, "Measurements of solar oscillations at 37 HGz," in Proc. Symp. Seismology of the Sun and Sun-like Stars, Tenerifc, Spain, Sept. 1988, pp. 235-239.
6. L. J. Lanzerotti, D. J. Thomson, and C. G. Maclennan, "Wireless at high altitudes - Environmental effects on space-based assets," Bell Labs Tech. J., vol. 1, pp. 5-9, 1997.
7. R. P. Lippmann and P. Bakman, "Adaptive neural net preprocessing for signal detection in non-Gaussian noise," Adv. Neural Inform. Processing Syst., vol. 1, pp. 124-132, 1989.
8. E. Wilson, S. Umesh, and D. W. Tufts, "Multistage neural network structure for transient detection and feature extraction," Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, 1993, pp. 489-492.
9. F.-L. Luo and R. Unbehauen, Applied Neural Networks for Signal Processing. Cambridge, UK: Cambridge Univ., 1997.
10. I. W. Sandberg and L. Xu, "Uniform approximation of multidimensional myopic maps," IEEE Trans. Circuits Syst., vol. 44, pp. 477-485, 1997.
11. E. Wan, 'Temporal backpropagation for FIR neural networks," Proc. IEEE Int. Joint Conf. Neural Networks, vol. 1, 1990, pp. 575-580.
12. L. A. Feldkamp, G. V. Puskorius, and P. C. Moore, "Adaptive behavior for fixed weight networks," Inform. Sci., vol. 98, pp. 217-235, 1997.
13. Y. LeCun and Y. Bengio, "Convolution networks for images, speech, and time series," in The Handbook of Brain Theory and Neural Networks, M. A. Arbib, Ed. Cambridge, MA: MIT, 1995.
14. S. S. Abeysekera and B. Boashash, "Methods of signal classification using the images produced by the Wigner-Ville distribution," Patt. Recognit. Lett., vol. 12, pp. 717-729, 1991.
15. D. A. Malhoft, "Neural network approach to the detection problem using joint-time frequency distribution," in Proc. IEEE Int. Conf. Acoustics, Speech, and Signal Processing, 1990, pp. 2739-2742.
16. T. K. Bhattacharya and S. Haykin, "Neural network-based radar detection from an ocean environment," IEEE Trans. Aerosp. Electron. Syst., vol. 33, pp. 408-420, Apr. 1997.
17. S. Haykin and T. K. Bhattacharya, "Modular learning strategy for signal detection in a nonstationary environment," IEEE Trans. Signal Processing, vol. 45, pp. 1619-1637, June 1997.
18. M. Loève, M. Fonctions aleatoires du second ordre. Rev. Se. Paris, t. 84, pp. 195-206, 1946.
19. _, Probability Theory. New York: Van Nostrand, 1963.
20. L. Cohen, Time-Frequency Analysis. Enslewood-Cliffs, NJ: Prentice-Hall, 1995.
21. F. L. Vernon, III, Analysis of Data Recorded on the ANZA Seismic Network, Ph.D. dissertation, Univ. California, San Diego, 1989.
22. D. J. Thomson, "Spectrum estimation techniques for characterization and development of WT4 waveguide," Bell Syst. Tech. J., vol. 56, pt. I, pp. 1769-1815, pt. II, pp. 1983-2005, 1977.
23. F. Hlawatsch, "Regularity and unitary of bilinear time-frequency sisnal representations," IEEE Trans. Inform. Theory, vol. 38, pp. "82-94, Jan. 1992.
24. W. Martin, 'Time-frequency analysis of random signals," in Proc. ICASSP, 1982, pp. 1325-1328.
25. P. Flandrin, "On the positivity of the Wigner-Ville spectrum," Signal Processing, vol. 11, pp. 187-189,"1986.
26. D. J. Thomson, "Spectrum estimation and harmonic analysis,". Proc. IEEE, vol. 70, pp. 1055-1996, Sept. 1982.
27. D. B. Percival and A. T. Walden, Spectral Analysis for Physical Applications; Multitaper and Conventional Univariate Techniques. Cambridge, UK: Cambridge Univ., 1993.
28. L. I. Tauxe, "Sedimentary records of relative paleointensity of the geomagnetic field; Theory and practice," Rev. Geophys., vol. 31, pp. 319-354, 1993.
29. D. J. Thomson, "Time series analysis of Holocene climate data," Phil. Trans. R. Soc. Lond. A., vol. 330, pp. 601-616, 1990.
30. _, "Quadratic-Inverse spectrum estimates; applications to paleoclimatology," Phil. Trans. R. Soc. Land. A., vol. 332, pp. 539-597, 1992.
31. _, "Nonstationary fluctuations in stationary time-series," in Proc. SPIE., vol. 2027, 1990, pp. 236-244.
32. _, "An overview of multiple-window and quadratic-inverse spectrum estimation methods," in Proc. ICASSP., vol. 6, 1994, pp. 185-194.
33. A. Papoulis, "A new algorithm in spectral analysis and bandlimited extrapolation," IEEE Trans. Circuits and Systems, vol. CAS-22, pp. 735-742, 1975.
34. 2 kernel," J. Phys. A: Math. Gen., vol. 8, pp. 1709-1719, 1975.
35. 2 and solar irradiance," Proc. Natl. Acad. Sci. USA, vol. 94, pp. 8370-8377, 1977.
36. R. J. Mellors, F. Vernon, and D. Thomson, "Detection of dispersive signals using multi-taper dual-frequency coherence," in Proc. 18th Seismic Research Symp. Monitoring a Comprehensive Test Ban Treaty, Annapolis, MD, 1996, pp. 745-753.
37. R. J. Mellors, F. L. Vernon, and D. J. Thomson, "Detection of dispersive signals using multitaper dual-frequency coherence," Geophysical J. Int., to be published.
38. R. Schild and D. J. Thomson, "The Q0957 + 561 time delay," in Quasar Structure and Microlensing (Astronomical Time Series), D. Maoz et al., Eds. Norwell, MA: Kluwer, 1997, pp. 73-84.
39. H. L. Hurd, "Spectral coherence of nonstationary and transient stochastic processes," in Proc. 4th IEEE ASSP Workshop Spectrum Estimation and Modeling, Minneapolis, MN, 1988, pp. 387-390.
40. N. L. Gerr and J. C. Allen, 'The generalized spectrum and spectral coherence of a harmonizable time series," Digital Signal Processing, vol. 4, pp. 222-238, 1994.
41. G. C. Carter, Ed., Coherence and Time Delay Estimation. New York: IEEE, 1993.
42. R. O. Duda and P. E. Hart, Pattern Classification and Scene Analysis. New York: Wiley, 1973.
43. K. Fukunaga, Statistical Pattern Recognition, 2nd ed. New York: Academic, 1990.
44. S. Haykin, "Neural networks expand SP's horizons," IEEE Signal Processing Mag., vol. 13, pp. 24-29, Feb. 1996.
45. _, Neural Networks: A Comprehensive Foundation. New York: Macmillan, 1994.
46. N. Suga, "Cortical computational maps for auditory imaging," Neural Networks, vol. 3, pp. 3-21, 1990.
47. J. A. Simmons, "Time-frequency transforms and images of targets in the sonary of bats," NEC Res. Inst., Princeton, NJ, 1991.
48. S. Haykin, C. Krasnor, T. Nohara, B. Currie, and D. Hamburger, "A coherent dual-polarized radar for studying the ocean environment," IEEE Trans. Geosci. Remote Sensing, vol. 29, p. 1890-18191, 1991.
49. T. D. Sanger, "Optimal unsupervised learning in a singlelayer linear feedforward network," Neural Networks, vol. 1, pp. 459-473, 1989.
50. D. E. Rumelhart, G. E. Hinton, and R. J. Williams, "Learning representations by back-propagating errors," Nature, vol. 323 pp. 533-536.
51. J. Newman and E. S. Pearson, "On the problem of the most efficient tests as statistical hypotheses," Phil. Trans. Roy. Soc., London, Series A, vol. 231, pp. 289-337, 1933.
52. J. C. Principe, M. Kim, and J. W. Fisher, III, "Target discrimination in synthetic aperture radar (SAR) using artificial neural networks," IEEE Trans. Image Processing, to be published.