Fourier series based nonminimum phase model for statistical signal processing

IEEE Transactions on Signal Processing

Volumn 47, Issue 8, 1999, Pages 2228-2240

  Chi, Chong Yung ^a  

^a NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FOURIER TRANSFORMS; ITERATIVE METHODS; LINEAR SYSTEMS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; PARAMETER ESTIMATION; STATISTICAL METHODS; STATISTICS;

CREAMER-RAO BOUNDS; FOURIER SERIES BASED MODEL; HIGHER ORDER STATISTICS; LINEAR PREDICTION ERROR; LINEAR TIME INVARIANT SYSTEM; STATISTICAL SIGNAL PROCESSING;

SIGNAL PROCESSING;

EID: 0033171389     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.774766     Document Type: Article

References (32)

1. S. M. Kay, Modern Spectral Estimation. Englewood Cliffs, NJ: Prentice-Hall, 1988.
2. M. H. Hayes, Statistical Signal Processing and Modeling. New York: Wiley, 1996.
3. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1989.
4. S. A. Dianat and M. R. Raghuveer, "Fast algorithms for phase and magnitude reconstruction from bispectra," Opt. Eng., vol. 29, no. 5, pp. 504-512, May 1990.
5. H.-M. Chien, H.-L. Yang, and C.-Y. Chi, "Parametric cumulant based phase estimation of 1-D and 2-D nonminimum phase systems by allpass filtering," IEEE Trans. Signal Processing, vol. 45, pp. 1742-1762, July 1997.
6. A. V. Oppenheim, "A speech analysis-synthesis system based on homomorphic filtering," J. Acoust. Soc. Amer., vol. 45, pp. 458-465, Feb. 1969.
7. A. V. Oppenheim and L. R. Rabiner, "System for automatic Formant analysis of voiced speech," J. Acoust. Soc. Amer., vol. 47, no. 2, pt. 2, pp. 634-648, Feb. 1970.
8. S. Subramaniam, A. P. Petropulu, and C. Wendt, "Cepstrum-based deconvolution for speech dereverberation," IEEE Trans. Speech Audio Processing, vol. 4, pp. 392-396, Sept. 1996.
9. M. Akay, Biomedical Signal Processing. New York: Academic, 1994.
10. T. J. Ulrych, "Application of homomorphic deconvolution to seismology," Geophys., vol. 36, no. 4, pp. 650-660, 1971.
11. B. Buttkus, "Homomorphic filtering-Theory and practice," Geophys. Prospect., vol. 23, pp. 712-748, 1975.
12. C.-Y. Chi and J.-Y. Kung, "A new identification algorithm for allpass systems by higher-order statistics," Signal Process., vol. 41, no. 2, pp. 239-256, Jan. 1995.
13. A. P. Petropulu and C. L. Nikias, "Blind deconvolution using signal reconstruction from partial higher order cepstral information," IEEE Trans. Signal Processing, vol. 41, pp. 2069-2095, June 1993.
14. D. Hatzinakos, "Nonminimum phase channel deconvolution using the complex cepstrum of the cycle autocorrelation," IEEE Trans. Signal Processing, vol. 42, pp. 3026-3042, Nov. 1994.
15. A. G. Bessios and C. L. Nikias, "POTEA: The power cepstrum and Incoherence equalization algorithm," IEEE Trans. Commun., vol. 43, pp. 2667-2671, Nov. 1995.
16. D. Hatzinakos and C. L. Nikias, "Blind equalization using a tricepstrum-based algorithm," IEEE Trans. Commun., vol. 39, pp. 669-682, May 1991.
17. D. Hatzinakos, "Blind equalization based on prediction and polyspectra principles," IEEE Trans. Commun., vol. 43, nos. 2/3/4, pp. 178-181, Feb./Mar./Apr., 1995.
18. S. Haykin, Ed., Blind Deconvolution. Englewood, Cliffs, NJ: Prentice-
19. C. E. Nikias and A. P. Petropulu, Higher-Order Spectra Analysis. Englewood, Cliffs, NJ: Prentice-Hall, 1993.
20. K. S. Lii and M. Rosenblatt, "Deconvolution and estimation of transfer function phase and coefficients for non-Gaussian linear processes," Ann. Statist., vol. 10, pp. 1195-1208, 1982.
21. J. K. Tugnait, "Consistent parameter estimation for noncausal autoregressive models via higher-order statistics," Automatica, vol. 26, pp.
22. 51-61, 1990.
23. _, "Identification of nonminimum phase linear stochastic systems," Automatica, vol. 22, pp. 457-464, 1986.
24. C.-Y. Chi and J.-Y. Kung, "A phase determination method for nonminimum phase ARMA systems by a single cumulant sample," IEEE Trans. Signal Processing, vol. 41, pp. 981-985, Feb. 1993.
25. R. Pan and C. E. Nikias, "The complex cepstrum of higher-order cumulants and nonminimum phase system identification," IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, pp. 186-205, Jan. 1988.
26. H. Akaike, "A new look at the statistical model identification," IEEE Trans. Automat. Contr., vol. AC-19, pp. 716-723, Dec. 1974.
27. D. M. Burley, Studies in Optimization. New York: Falsted, 1974.
28. C.-Y. Chi and M.-C. Wu, "Inverse filter criteria for blind deconvolution and equalization using two cumulants," Signal Process., vol. 43, no. 1, pp. 55-63, Apr. 1995.
29. J. K. Tugnait, "Estimation of linear parametric models using inverse filter criteria and higher order statistics," IEEE Trans. Signal Processing, vol. 41, pp. 3196-3199, Nov. 1993.
30. R. A. Wiggins, "Minimum entropy deconvolution," Geoexplor., vol. 16, pp. 21-35, 1978.
31. O. Shalvi and E. Weinstein, "New criteria for blind deconvolution of nonminimum phase systems (channels)," IEEE Trans. Inform. Theory, vol. 36, pp. 312-321, Mar. 1990.
32. B. Porat, A Course in Digital Signal Processing. New York: Wiley, 1997.