Nonminimum-phase FIR channel estimation using cumulant matrix pencils

IEEE Transactions on Signal Processing

Volumn 51, Issue 9, 2003, Pages 2310-2320

  Liang, Jing ^a   Ding, Zhi ^b  

^a Silicon Laboratories Inc   (United States)

^b University of California Davis   (United States)

Author keywords

Channel estimation; Higher order statistics; Matrix pencil; Single input single output systems

Indexed keywords

ALGORITHMS; BANDWIDTH; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; INTERSYMBOL INTERFERENCE; OPTIMIZATION; STATISTICS;

CHANNEL ESTIMATION; HIGHER ORDER STATISTICS; MATRIX PENCIL; SINGLE-INPUT-SINGLE-OUTPUT SYSTEMS;

FIR FILTERS;

EID: 0042411996     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2003.815378     Document Type: Article

References (43)

1. G. D. Forney Jr., "Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference," IEEE Trans. Inform. Theory, vol. IT-18, pp. 363-377, May 1972.
2. D. N. Godard, "Self-recovering equalization and carrier tracking in two-dimensional data communication systems," IEEE Trans. Commun., vol. COM-28, pp. 1867-1875, Nov. 1980.
3. 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.
4. G. B. Giannakis and J. M. Mendel, "Identification of nonminimum-phase system using higher order statistics," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 360-377, Mar. 1989.
5. B. Poral and B. Friedlander, "FIR system identification using fourth-order cumulants with applications to channel equalization," IEEE Trans. Signal Processing, vol. 38, pp. 1394-1398, Sept. 1993.
6. D. Boss, K. D. Kammeyer, and T. Petermann, "Is blind channel estimation feasible in mobile communication systems? a study based on GSM," IEEE J. Select. Areas Commun., vol. 16, pp. 1479-1492, Oct. 1998.
7. L. Tong, G. Xu, and T. Kailath, "Blind identification and equalization based on second-order statistics: A time domain approach," IEEE Trans. Inform. Theory, vol. 40, pp. 340-349, Mar. 1994.
8. E. Moulines, P. Duhamel, J. F. Cardoso, and S. Mayrargue, "Subspace methods for the blind identification of multichannel FIR filters," IEEE Trans. Signal Processing, vol. 43, pp. 516-525, Feb. 1995.
9. D. T. M. Slock, "Blind fractionally-spaced equalization, perfect-reconstruction filter-banks and multichannel linear prediction," Proc. IEEE ICASSP, pp. 585-588, Apr. 1994.
10. L. Tong, G. Xu, B. Hassibi, and T. Kailath, "Blind channel identification based on second-order statistics: A frequency-domain approach," IEEE Trans. Inform. Theory, vol. 41, pp. 329-334, Jan. 1995.
11. J. K. Tugnait, "On blind identifiability of multipath channels using fractional sampling and second-order cyclostationary statistics," IEEE Trans. Inform. Theory, vol. 41, pp. 308-311, Jan. 1995.
12. E. Bai and Z. Ding, "Zero of sampled data systems represented by FIR models," Automatica, vol. 36, no. 1, pp. 121-123, Jan. 2000.
13. J. M. Mendel, "Tutorial on higher-order statistics (spectra) in signal processing and system theory: Theoretical results and some applications," Proc. IEEE, vol. 79, pp. 278-305, Mar. 1991.
14. A. Swami, G. B. Giannakis, and G. Zhou, "Bibliography on higher-order statistics," Signal Process., vol. 60, no. 1, pp. 65-126, 1997.
15. G. B. Giannakis, Y. Hua, P. Stoica, and L. Tong, Signal Processing Advances in Wireless and Mobile Communications: Vol. 1 Trends in Channel Estimation and Equalization, Upper Saddle River, NJ: Prentice-Hall PTR, 2001.
16. J. K. Tugnait, "Identification of linear stochastic system via second and fourth-order cumulant matching," IEEE Trans. Inform. Theory, vol. IT-33, pp. 393-407, May 1987.
17. ____, "Blind equalization and estimation of digital communication FIR channels using cumulant matching," IEEE Trans. Commun., vol. 43, no. 2/3/4, pp. 1240-1245, Feb./Mar./Apr. 1995.
18. B. Friedlander and B. Porat, "Asymptomatically optimal estimation of MA and ARMA parameters of non-Gaussian processes from high-order moments," IEEE Trans. Automat. Contr., vol. 35, pp. 27-35, Jan. 1990.
19. D. Boss, B. Jelonnek, and K. D. Kammeyer, "Eigenvector algorithm for blind MA system identification," Signal Process., vol. 66, no. 1, pp. 1-26, Apr. 1998.
20. B. Jelonnek, D. Boss, and K. D. Kammeyer, "Generalized eigenvector algorithm for blind equalization," Signal Process., vol. 61, no. 3, pp. 237-264, Sept. 1997.
21. G. B. Giannakis, "Cumulants: A powerful tool in signal processing," Proc. IEEE, vol. 75, pp. 1333-1334, 1987.
22. J. K. Tugnait, "Approaches to FIR system identification with noisy data using higher-order statistics," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1307-1317, July 1990.
23. A. Swami and J. M. Mendel, "ARMA parameter estimation using only output cumulants," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1257-1265, July 1990.
24. G. B. Giannakis and A. Swami, "On estimating noncausal nonminimum-phase ARMA models of non-Gaussian processes," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 478-495, Mar. 1990.
25. J. A. R. Fonollosa and J. Vidal, "System identification using a linear combination of cumulant slices," IEEE Trans. Signal Processing, vol. 41, pp. 2405-2411, July 1993.
26. A. G. Stogioglou and S. McLaughlin, "MA parameter estimation and cumulant enhancement," IEEE Trans. Signal Processing, vol. 44, pp. 1704-1718, July 1996.
27. L. Srinivas and K. V. S. Hari, "FIR system identification using higher-order cumulant-A generalized approach," IEEE Trans. Signal Processing, vol. 43, pp. 3061-3065, Dec. 1995.
28. ____, "FIR system identification based on subspaces of a higher order cumulant matrix," IEEE Trans. Signal Processing, vol. 44, pp. 1485-1491, June 1996.
29. A. Belouchrani and B. Derras, "An efficient fourth order system identification (FOSI) algorithm utilizing the joint diagonalization procedure," Proc. IEEE Workshop Statist, Signal Array Process., pp. 621-625, 2000.
30. Z. Ding and J. Liang, "A cumulant matrix subspace algorithm for blind single FIR channel identification," IEEE Trans. Signal Processing, vol. 49, pp. 325-333, Feb. 2001.
31. J. Zhu, X. R. Cao, and R. W. Liu, "A blind fractionally spaced equalizer using higher order statistics," IEEE Trans. Circuits Syst. II, vol. 46, pp. 755-764, June 1999.
32. C. Chang, Z. Ding, S. Yau, and F. H. Y. Chan, "A matrix-pencil approach to blind separation of colored nonstationary signals," IEEE Trans. Signal Processing, vol. 48, pp. 900-907, Mar. 2000.
33. D. R. Brillinger, Time Series: Date Analysis and Theory, New York: McGraw-Hill, 1981.
34. R. Roy and T. Kailath, "ESPRIT-estimation of signal parameters via rotational invariance techniques," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 984-995, July 1989.
35. L. Tong, V. C. Soon, Y. H. Fang, and R. Liu, "AMUSE: A new blind identification algorithm," Proc. IEEE ICASSP, pp. 1784-1787, Apr. 1990.
36. L. Tong, R. W. Liu, V. C. Soon, and Y. H. Fang, "Indeterminacy and identifiability of blind estimation," IEEE Trans. Circuits Syst., vol. 38, pp. 499-509, Apr. 1991.
37. P. Comon, "Independent component analysis, a new concept?," Signal Process., vol. 36, pp. 287-314, 1994.
38. X. R. Cao and R. W. Liu, "General approach to blind source separation," IEEE Trans. Signal Processing, vol. 44, pp. 562-571, Mar. 1996.
39. A. Belouchrani, K. Abed-Meraim, J. F. Cardoso, and E. Moulines, "A blind source separation technique using second-order statistics," IEEE Trans. Signal Processing, vol. 45, pp. 434-444, Feb. 1997.
40. E. Moreau, "A generalization of joint-diagonalization criteria for source separation," IEEE Trans. Signal Processing, vol. 49, pp. 530-541, Mar. 2001.
41. G. H. Golub and C. F. van Loan, Matrix Computations, 3rd ed. Baltimore, MD: Johns Hopkins Univ. Press, 1996.
42. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and H. van der Vorst, Templates for the Solution of Algebraic Eigenvalue Problems, A Practical Guide. Philadelphia, PA: SIAM, 2000.
43. P. Hoeher, "A statistical discrete-time model for the WSSUS multipath channel," IEEE Trans. Veh. Technol., vol. 41, pp. 461-468, Nov. 1992.