Sampling requirements and aliasing for higher-order correlations

Journal of the Acoustical Society of America

Volumn 94, Issue 4, 1993, Pages 2159-2172

  loup, George E ^b   loup, Juliette W ^b  

^a NAVAL RESEARCH LABORATORY   (United States)

^b UNIVERSITY OF NEW ORLEANS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CORRELATION FUNCTION; IMAGE ANALYSIS; SAMPLING; SIGNAL DETECTION; SIGNAL PROCESSING;

EID: 0027484884     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.407487     Document Type: Article

References (35)

1. Bartelt, H., Lohmann, A. W., and Wimitzer, B. (1984). “Phase and amplitude recovery from bispectra,” Appl. Opt. 23, 3121–3129.
2. Bracewell, R. N. (1986). The Fourier Transform and Its Applications (McGraw-Hill, New York), 2nd ed. rev.
3. Brillinger, D. R., and Rosenblatt, M. (1967a). “Asymptotic Theory of Estimates of k-th Order Spectra,” in Spectral Analysis of Time Series, edited by B. Harris (Wiley, New York), pp. 153–188.
4. Brillinger, D. R., and Rosenblatt, M. (1967b). “Computation and Interpretation of k-th Order Spectra,” in Spectral Analysis of Time Series, edited by B. Harris (Wiley, New York), pp. 189–232.
5. Brockett, P. L., Hinich, M., and Wilson, G. R. (1987). “Nonlinear and non-Gaussian ocean noise,” J. Acoust. Soc. Am. 82, 1386–1394.
6. Dalle Molle, J. W., and Hinich, M. J. (1989). “The Trispectrum,” Proc. of the Workshop on Higher-Order Spectral Analysis, Vail, CO, pp. 68–72.
7. Dwyer, R. F. (1984). “The Use of the Kurtosis Statistic in the Frequency Domain as an Aid in Detecting Random Signals,” IEEE J. Ocean. Eng. OE-9, 85–92.
8. Dwyer, R. F. (1985). “Asymptotic Detection Performance of Discrete Power and Higher-Order Spectra Estimates,” IEEE J. Ocean. Eng. OE-10, 303–315.
9. Hasselman, K., Munk, W., and MacDonald, G. (1963). “Bispectrum of ocean waves”, in Time Series Analysis, edited by M. Rosenblatt (Wiley, New York), pp. 125–130.
10. Hinich, M. J. (1982). “Testing for Gaussianity and Linearity of a Stationary Time Series,” J. Time Series Anal. 3, 169–176.
11. Hinich, M. J., and Wolinsky, M. A. (1988). “A test for aliasing using bispectral analysis,” J. Am. Stat. Assoc. 83, 499–502.
12. Hinich, M. J., Marandino, D., and Sullivan, E. J. (1989). “Bispectrum of ship-radiated noise,” J. Acoust. Soc. Am. 85, 1512–1517.
13. Hinich, M. J., and Wilson, G. R. (1990). “Detection of Non-Gaussian Signals in Non-Gaussian Noise Using the Bispectrum,” IEEE Trans. Acoust. Speech Signal Process. 38, 1126–1131.
14. Ioup, G. E., Ioup, J. W., Barnes, K. H., Field, R. L., Leclere, J. H., and Raybom, G. H. (1989a). “Evaluation of Bicorrelations for Transient Detection,” Proc. of the Workshop on Higher-Order Spectral Analysis, Vail, CO, pp. 46–51.
15. Ioup, G. E., Ioup, J. W., Field, R. L., and Leclere, J. H. (1989b). “Higher Order Correlations for Transient Detection,” Proceedings of the First Acoustic Transient Workshop held at Naval Ocean Research and Development Activity, NSTL, Naval Research Laboratory Publication 152–5100, 628–660.
16. Ioup, G. E., Pflug, L. A., Ioup, J. W., Barnes, K. H., Field, R. L., Leclere, J. H., and Raybom, G. H. (1990). “Higher Order Correlations for the Detection of Deterministic Transients,” U.S.N. J. Underwater Acoust. 40, 925–944.
17. Ioup, J. W., Ioup, G. E., Field, R. L., and Leclere, J. H. (1988). “Comparison of Double and Triple Cross Correlation for Arrival Time Identification of Amplitude and Frequency-Modulated Acoustic Transient Signals,” J. Acoust. Soc. Am. Suppl. 1 84, S17.
18. Kanasewich, E. R. (1973). Time Sequence Analysis in Geophysics (Univ. of Alberta, Edmonton, Alberta, Canada).
19. Marple, S. L., Jr. (1987). Digital Spectral Analysis with Applications (Prentice-Hall, Englewood Cliffs, NJ).
20. Matsuoka, T., and Ulrych, T. J. (1984). “Phase Estimation Using the Bispectrum,” Proc. IEEE 72, 1403–1411.
21. Nagata, Y. (1978). “Bispectra of Spike-array Type Time Series and Their Application to the Analysis of Oceanic Microstructures,” J. Oceanogr. Soc. Jpn. 34, 204–216.
22. Nielsen, P. A. (1992). “Comments on: Properties of higher-order correlations and spectra for bandlimited deterministic transients,” J. Acoust. Soc. Am. 92, 1763–1765.
23. Nikias, C. L., and Raghuveer, M. R. (1987). “Bispectrum Estimation: A Digital Signal Processing Framework,” Proc. IEEE 75, 869–891.
24. Nikias, C. L., and Pan, R. (1988). “Time Delay Estimation in Unknown Gaussian Spatially Correlated Noise,” IEEE Trans. Acoust. Speech Signal Process. 36, 1706–1714.
25. Papoulis, A. (1962). The Fourier Integral and Its Applications (McGraw-Hill, New York).
26. Pflug, L. A. (1990). “Higher Order Correlations and Spectra for the Detection of Deterministic Transients,” Master's thesis, University of New Orleans.
27. Pflug, L. A., Barnes, K. H., Ioup, G. E., Ioup, J. W., Field, R. L., Leclere, J. H., and Raybom, G. H. (1989). “Higher Order Correlations and Spectra and the Detection of Narrow Band Deterministic Transients,” J. Acoust. Soc. Am. Suppl. 1 86, S118.
28. Pflug, L. A., Ioup, G. E., Ioup, J. W., Barnes, K. H., Field, R. L., and Leclere, J. H. (1990). “Detection and Time-Delay Estimation for Band-Limited Transients Using Higher Order Correlations,” J. Acoust. Soc. Am. Suppl. 1 88, S29.
29. Pflug, L. A., Ioup, G. E., Ioup, J. W., and Field, R. L. (1992a). “Properties of higher-order correlations and spectra for bandlimited, deterministic transients,” J. Acoust. Soc. Am. 91, 975–988.
30. Pflug, L. A., Ioup, G. E., Ioup, J. W., Barnes, K. H., Field, R. L., and Raybom, G. H., (1992b). “Detection of oscillatory and impulsive transients using higher-order correlations and spectra,” J. Acoust. Soc. Am. 91, 2763–2776.
31. Pflug, L. A., Ioup, G. E., Ioup, J. W., Field, R. L., and Leclere, J. H. (1993). “Time Delay Estimation for Bandlimited Transients Using Higher Order Correlations,” J. Acoust. Soc. Am. 94, 1385–1399.
32. Pike, C. M., Tague, J. A., and Sullivan, E. J. (1991). “Transient Signal Detection in Multipath: A Bispectral Analysis Approach,” Proc. ICASSP 2, 1489–1492.
33. Rosenblatt, M. (1985). Stationary Sequences and Random Fields (Birkhauser Boston, Switzerland).
34. Sullivan, E. J., and Hinich, M. J. (1990). “Active Sonar and Transient Detection Using Polyspectra,” J. Acoust. Soc. Am. Suppl. 1 87, SI55.
35. Watkins, W. A., Tyack, P., Moore, K. E., and Bird, J. E. (1987). “The 20-Hz signals of finback whales,” J. Acoust. Soc. Am. 82, 1901–1912.