The degradation of higher order spectral detection using narrowband processing

IEEE Transactions on Signal Processing

Volumn 45, Issue 7, 1997, Pages 1770-1784

  Garth, M ^a,b   Bresler, Yoram ^a,b  

^a NOKIA RESEARCH CENTER   (United States)

^b University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BANDWIDTH; SENSOR DATA FUSION; SIGNAL FILTERING AND PREDICTION; SPURIOUS SIGNAL NOISE;

HIGHER ORDER SPECTRAL (HOS) DETECTION; SECOND ORDER SPECTRAL (SOS) DETECTION;

SIGNAL DETECTION;

EID: 0031190245     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.599946     Document Type: Article

References (32)

1. S. U. Pillai, Array Signal Processing. New York: Springer-Verlag, 1989.
2. D. Kletter and H. Messer, "Suboptimal detection of non-Gaussian signals by third-order spectral analysis," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 901-909, June 1990.
3. G. B. Giannakis and M. K. Tsatsanis, "Signal detection and classification using matched filtering and higher order statistics," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1284-1296, July 1990.
4. M. J. Hinich and G. R. Wilson, "Detection of non-Gaussian signals in non-Gaussian noise using the bispectrum," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1126-1130, July 1990.
5. G. B. Giannakis and M. K. Tsatsanis, "Time-domain tests for Gaussianity and time-reversibility," IEEE Trans. Signal Processing, vol. 42, pp. 3460-3472, Dec. 1994.
6. J. K. Tugnait, "Detection of non-Gaussian signals using integrated polyspectrum," IEEE Trans. Signal Processing, vol. 42, pp. 3137-3149, Nov. 1994.
7. L. M. Garth and Y. Bresler, "A comparison of optimized higher-order spectral detection techniques for non-Gaussian signals," IEEE Trans. Signal Processing, vol. 44, pp. 1198-1213, May 1996.
8. M. Rosenblatt, "Some comments on narrow band-pass filters," Q. Appt. Math., vol. 18, pp. 387-393, Jan. 1961.
9. A. Papoulis, "Narrow-band systems and Gaussianity," IEEE Trans. Inform. Theory, vol. IT-18, pp. 20-27, Jan. 1972.
10. D. R. Brillinger and M. Rosenblatt, "Asymptotic theory of estimates of fcth-order spectra," in Spectral Analysis of Time Series, B. Harris, Ed. New York: Wiley, 1967, pp. 153-188.
11. _, "Computation and interpretation of fc-th order spectra," in Spectral Analysis of Time Series, B. Harris, Ed. New York: Wiley, 1967, pp. 189-232.
12. G. Zhou and G. B. Giannakis, "Polyspectral analysis of mixed processes and coupled harmonics," IEEE Trans. Inform. Theory, vol. 42, pp. 943-958, May 1996.
13. D. R. Brillinger, "An introduction to polyspectra," Ann. Math. Statist., vol. 36, pp. 1351-1374, Oct. 1965.
14. T. Subba Rao and M. M. Gabr, "A test for linearity of stationary time series," J. Time Ser. Anal., vol. 1, no. 2, pp. 145-158, 1980.
15. M. J. Hinich, "Testing for Gaussianity and linearity of a stationary time series," J. Time Ser. Anal., vol. 3, no. 3, pp. 169-176, 1982.
16. J. K. Tugnait, "Testing for linearity of noisy stationary signals," IEEE Trans. Signal Processing, vol. 42, pp. 2742-2748, Oct. 1994.
17. R. A. Roberts and C. T. Mullis, Digital Signal Processing. Reading, MA: Addison-Wesley, 1987.
18. L. A. Pflug, G. E. loup, and J. W. loup, "Sampling requirements and aliasing for higher-order correlations," J. Acoust. Soc. Amer., vol. 94, pp. 2159-2172, Oct. 1993.
19. V. Chandran and S. Elgar, "A general procedure for the derivation of principal domains of higher-order spectra," IEEE Trans. Signal Processing, vol. 42, pp. 229-233, Jan. 1994.
20. M. J. Hinich and H. Messer, "On the principal domain of the discrete bispectrum of a stationary signal," IEEE Trans. Signal Processing, vol. 43, pp. 2130-2134, Sept. 1995.
21. J. W. Dalle Molle and M. J. Hinich, "Trispectral analysis of stationary random time series," J. Acoust. Soc. Amer., vol. 97, pp. 2963-2978, May 1995.
22. A. V. Dandawaté and G. B. Giannakis, "Asymptotic theory of mixed time averages and A'th-order cyclic-moment and cumulant statistics," IEEE Trans. Inform. Theory, vol. 41, pp. 216-232, Jan. 1995.
23. K. Fukunaga, Introduction to Statistical Pattern Recognition. Boston, MA: Academic, 1990, 2nd ed.
24. Y. Nikitin, Asymptotic Efficiency of Nonparametric Tests. Cambridge, U.K.: Cambridge Univ. Press, 1995.
25. L. M. Garth and Y. Bresler, "On the use of asymptotics in detection and estimation," IEEE Trans. Signal Processing, vol. 44, pp. 1304-1307, May 1996.
26. D. R. Brillinger, Time Series: Data Analysis and Theory. San Francisco, CA: Holden-Day, 1981.
27. I. Y. Hoballah and P. K. Varshney, "Distributed Bayesian signal detection," IEEE Trans. Inform. Theory, vol. 35, pp. 995-1000, Sept. 1989.
28. S. C. A. Thomopoulos, R. Viswanathan, and D. C. Bougoulias, "Optimal décision fusion in multiple sensor systems," IEEE Trans. Aerosp. Electron. Syst.. vol. AES-23, pp. 644-653, Sept. 1987.
29. J. N. Tsitsiklis, "Decentralized detection," in Advances in Statistical Signal Processing, Vol. 2: Signal Detection, H. V. Poor and J.B. Thomas, Eds. Greenwich, CT: JAI, 1993, pp. 297-344.
30. A. Bassias, "DOA estimation using coherent signal-subspace method based on fourth-order cumulants," in Proc. Seventh IEEE Signal Processing Workshop Statist. Signal Array Processing, Chateau Frontenac, Quebec City, P.Q., Canada, June 26-29, 1994.
31. Y.-H. Chen and Y.-S. Lin, "Cumulant-based method for bearing estimation in the presence of non-Gaussian noise," IEEE Trans. Antennas Propagat., vol. 42, pp. 548-552, Apr. 1994.
32. R. J. Marks, Introduction to Shannon Sampling and Interpolation Theory. New York: Springer-Verlag, 1991.