Recent developments in blind channel equalization: From cyclostationarity to subspaces

Signal Processing

Volumn 50, Issue 1-2 SPEC. ISS., 1996, Pages 83-99

  Liu, Hui ^a   Xu, Guanghan ^b   Tong, Lang ^c   Kailath, Thomas ^d  

^a University of Virginia   (United States)

^b The University of Texas at Austin   (United States)

^c UNIVERSITY OF CONNECTICUT   (United States)

^d Stanford University   (United States)

Author keywords

Blind equalization; Cyclic correlation; Fractionally spaced equalizers; Nonminimum phase channels

Indexed keywords

ALGEBRA; ALGORITHMS; COMMUNICATION CHANNELS (INFORMATION THEORY); CORRELATION METHODS; DATA STRUCTURES; SIGNAL THEORY;

BLIND CHANNEL EQUALIZATION; CYCLOSTATIONARITY; SUBSPACES;

SIGNAL PROCESSING;

EID: 0030123478     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/0165-1684(96)00013-8     Document Type: Article

References (62)

1. H. Akaike, "A new look at the statistical model identification", IEEE Trans. Automat. Control, Vol. 19, No. 6, December 1974, pp. 716-723.
2. L.A. Baccala and S. Roy, "A new blind time-domain channel identification method based on cyclostationarity", Proc. 26th Conf. Informations Sciences and Systems, Princeton, NJ, March 1994.
3. E.W. Bai and S.S. Sastry, "Persistency of excitation, sufficient richness and parameter convergence in discrete time adaptive control", Systems Control Lett., Vol. 6, 1985, pp. 153-163.
4. A. Benveniste and M. Goursat, "Blind equalizers", IEEE Trans. Commun., Vol. 32, No. 8, August 1984, pp. 871-883.
5. A. Benveniste, M. Goursat and G. Ruget, "Robust identification of a nonminimum phase system: Blind adjustment of a linear equalizer in data communications", IEEE Trans. Automat. Control, Vol. AC-25, June 1980, pp. 385-399.
6. Y. Bresler, "Exact maximum likelihood parameter estimation of superimposed exponential signals in noise", IEEE Trans. Acoust. Speech Signal Process., Vol. 5, 1986, pp. 1081-1089.
7. L.R. Cerrato and B.A. Eisenstein, "Deconvolution of cyclostationary signals", IEEE Trans. Acoust. Speech Signal Process., Vol. ASSP-25, December 1977, pp. 466-476.
8. Y. Chen and C.L. Nikias, "New results with fractionally-spaced blind equalization algorithms", Proc. IEEE ICC'544, New Orleans, LA, 1994, pp. 554-588.
9. Z. Ding, "Blind identification and equalization using spectral measures: Part I", in: W.A. Gardner, ed., Cyclostationarity in Communications and Signal Processing, IEEE Press, New York, 1993.
10. Z. Ding, R.A. Kennedy, B.D.O. Anderson and C.R. Johnson, "Ill-convergence of Godard blind equalizers in data communication systems", IEEE Trans. Commun., Vol. 39, September 1991, pp. 1313-1327.
11. Z. Ding and Y. Li, "Channel identification using second order cyclic statistics", Proc. Asilomar Conf, on Signal, Systems, and Computers, Pacific Grove, CA, October 1992.
12. W.A. Gardner, Introduction to Random Processes with Application to Signals and Systems, Macmillan, New York, 1985.
13. W.A. Gardner, "A new method of channel identification", IEEE Trans. Commun., Vol. 39, No. 6, June 1991, pp. 813-817.
14. G.B. Giannakis, "Linear cyclic correlation approach for blind identification of FIR channels", Proc. 28th Asilomar Conf. on Signals, Systems, and Comp., Pacific Grove, CA, November 1994, pp. 420-423.
15. G.B. Giannakis and S.D. Halford, "Performance analysis in blind equalizers based on cyclostationary statistics", Proc. 26th Conf. Information Sciences and Systems, Princeton, NJ, March 1994, pp. 711-716.
16. G.B. Giannakis and S.D. Halford, "Blind fractionally-spaced equalization of noisy FIR channels: Adaptive and optimal solutions", Proc. Internat. Conf. Acoust. Speech Signal Process. '95, Detroit, MI, May 1995.
17. R.D. Gitlin and S.B. Weinstein, "Fractionally-spaced equalization: An improved digital transversal equalizer", Bell Syst. Tech. J., Vol. 60, February 1981, pp. 275-296.
18. D.N. Godard, "Self-recovering equalization and carrier tracking in two-dimensional data communication systems", IEEE Trans. Commun., Vol. 28, No. 11, November 1980, pp. 1867-1875.
19. M.I. Gürelli and C.L. Nikias, "A new eigenvector-based algorithm for multichannel blind deconvolution of input colored signals", Proc. Internat. Conf. Acoust. Speech Signal Process. '93, Vol. IV, Minneapolis, MN, April 1993, pp. 448-451.
20. D. Hatzinakos and C. Nikias, "Estimation of multipath channel response in frequency selective channels", IEEE J. Select. Areas Commun., Vol. S7, No. 1, January 1989, pp. 12-19.
21. Y. Hua, "Fast maximum likelihood for blind identification of multiple FIR channels", IEEE Trans. Signal Processing, To appear.
22. Y. Hua, "Fast maximum likelihood for blind identification of multiple FIR channels", Proc. 28th Asilomar Conf. on Signals, Systems and Computers, Pacific Grove, CA, November 1994.
23. T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, NJ, 1980.
24. R. Kumaresan, L.L. Scharf and A.K. Shaw, "An algorithm for pole-zero modelling and spectral analysis", IEEE Trans. Acoust. Speech Signal Process., Vol. 34, 1986, pp. 637-640.
25. S.Y. Kung, T. Kailath and M. Morf, "A generalized resultant matrix for polynomial matrices", Proc. IEEE Conf. on Decision and Control, Florida, 1976, pp. 892-895.
26. Y. Li and Z. Ding, "Blind channel identification based on second-order cyclostationary statistics", Proc. Internat. Conf. Acoust. Speech Signal Process. '93, Minneapolis, MN, April 1993, pp. 81-84.
27. H. Liu and G. Xu, "A deterministic approach to blind symbol estimation", IEEE Signal Processing Lett., Vol. 1. No. 12, December 1994, pp. 205-207.
28. H. Liu and G. Xu, "Closed-form blind symbol estimation in digital communications", IEEE Trans. Signal Processing, Vol. SP-43, No. 11, November 1995, pp. 2714-2723.
29. H. Liu and G. Xu, "Smart antennas in wireless systems: Multiuser blind channels and sequences identification", IEEE Trans. Commun., Accepted.
30. H. Liu, G. Xu and L. Tong, "A deterministic approach to blind equalization", Proc. 27th Asilimar Conf. on Signals, Systems and Computers, Pacific Grove, CA, November 1993, pp. 751-755.
31. L. Ljung, System Identification, Prentice-Hall, Englewood Cliffs, NJ, 1987.
32. E. Moulines, P. Dohamel, J. Cardoso and S. Mayrargue, "Subspace methods for the blind identification of multichannel FIR filters", IEEE Trans. Signal Processing, Vol. SP-43, No. 2, February 1995, pp. 516-525.
33. B. Ottersten and M. Viberg, "Analysis of subspace fitting based methods for sensor array processing", Proc. IEEE Internat. Conf. Acoust. Speech Signal Process. '89, Glasgow, UK, May 1989, pp. 2807-2810.
34. A.P. Petropulu and C.L. Nikias, "Blind deconvolution using signal reconstruction from partial higher order cepstral information", IEEE Trans. SP, Vol. 41, No. 6, June 1993, pp. 2088-2095.
35. S.U. Pillai, Array Signal Processing, Springer, New York, 1989.
36. B. Porat, Digital Processing of Random Signals, Prentice Hall, Englewood Cliffs, NJ, 1993.
37. J. Rissanen, "Modeling by shortest data description", Automatica, Vol. 14, 1978, pp. 465-471.
38. Y. Sato, "A method of self-recovering equalization for multilevel amplitude-modulation", IEEE Trans. Commun., Vol. 23, No. 6, June 1975, pp. 679-682.
39. S.V. Schell, D.L. Smith and S. Roy, "Blind channel identification using subchannel response matching", Proc. 1994 Conf. Information Sciences and Systems, Princeton, NJ, March 1994.
40. R.O. Schmidt, "Multiple emitter location and signal parameter estimation", Proc. RADC Spectral Estimation Workshop, Griffiss AFB, NY, 1979, pp. 243-258.
41. O. Shalvi and E. Weinstein, "New criteria for blind deconvolution of nonminimum phase systems (channels)", IEEE Inform. Theory, Vol. 36, No. 2, March 1990, pp. 312-320.
42. M. Shao and C.L. Nikias, "An ML/MMSE approach to blind equalization", Proc. IEEE Internat. Conf. Acoust. Speech Signal Process. '94, April 1994, pp. IV569-IV572.
43. D.T.M. Slock, "Blind fractionally-spaced equalization, perfect-reconstruction filter banks and multichannel linear prediction", Proc. IEEE Internat. Conf. Acoust. Speech Signal Process. '94, 30 April 1994, pp. IV585-IV588.
44. D.T.M. Slock, "Blind joint equalization of multiple synchronous mobile users using oversampling and/or multiple antennas", Proc. 28th Asilomar Conf. on Signals, Systems and Computers, Pacific Grove, CA, November 1994, pp. 1154-1158.
45. D.T.M. Slock and C.B. Papadias, "Further results on blind identification and equalization of multiple FIR channels", Proc. IEEE Internat. Conf. Acoust. Speech Signal Process. '95, April 1995, pp. 1964-1967.
46. P. Stoica and A. Nehorai, "Performance study of conditional and unconditional direction of arrival estimation", IEEE Trans. Acoust. Speech Signal Process., Vol. ASSP-38, No. 10, October 1990, pp. 1783-1795.
47. S. Talwar, M. Viberg and A. Paulraj, "Blind estimation of multiple co-channel digital signals using an antenna array", IEEE Signal Processing Lett., Vol. 1, No. 2, February 1994, pp. 29-31.
48. L. Tong, G. Xu, B. Hassibi and T. Kailath, "Blind identification and equalization based on second-order statistics: A frequency domain approach", IEEE Trans. Inform. Theory, Vol. 41, No. 1, January 1995, pp. 329-333.
49. L. Tong, G. Xu and T. Kailath, "A new approach to blind identification and equalization of multipath channel", Proc. 25th Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, November 1991.
50. L. Tong, G. Xu and T. Kailath, "Blind equalization of multipath fading channels", Proc. 1992 Internat. Conf. on Communication, Chicago, IL, June 1992, pp. 1513-1517.
51. L. Tong, G. Xu and T. Kailath, "Blind identification and equalization using spectral measures, Part II: A time domain approach", in: W.A. Gardner, ed., Cyclostationarity in Communications and Signal Processing, IEEE Press, New York, 1993.
52. J.K. Tugnait, "Identification of linear stochastic system via second and fourth-order cumulant matching", IEEE Trans. Inform. Theory, Vol. IT-33, May 1987, pp. 393-407.
53. J.K. Tugnait, "On blind identifiability of multipath channels using fractional sampling and second-order cyclostationary statistics", Proc. Global Telecom. Conf., 1993, pp. 2000-2005.
54. G. Ungerboeck, "Fractional tap-spacing equalizer and consequences for clock recovery in data modems", IEEE Trans. Commun., Vol. COM-24, August 1976, pp. 856-864.
55. M. Viberg, B. Ottersten and T. Kailath, "Direction of arrival estimation and detection using weighted subspace fitting", Proc. 23rd Asilomar Conf. on Signals, Systems and Computers, Pacific Grove, CA, November 1989.
56. M. Wax, Detection and estimation of superimposed signals, Ph.D. Thesis, Stanford University, Stanford, CA, 1985.
57. G. Xu, L. Tong and H. Liu, "A new algorithm for fast blind equalization of wireless communication channels", Proc. Internat. Conf. Acoust. Speech Signal Process. '94, Adelaide, Australia, April 1994.
58. G. Xu, H. Liu, L. Tong and T. Kailath, "A least-squares approach to blind channel identification", IEEE Trans. Signal Processing, Vol. SP-43, No. 12, December 1995.
59. J. Yang and A. Swindlehurst, "DF directed multipath equalization", Proc. 28th Asilomar Conf. on Signals, Systems and Computers, Pacific Grove, CA, November 1994, pp. 1418-1422.
60. D. Yellin and B. Porat, "Blind identification of FIR systems excited by discrete-alphabet inputs", IEEE Trans. Signal Processing, Vol. SP-41, No. 3, 1993, pp. 1331-1339.
61. H. Zeng and L. Tong, "Some new results on blind channel estimation: performance and algorithms", Proc. 29th Annual Conf. on Information Sciences and Systems, March 1995.
62. L.C. Zhao, P.R. Krishnaiah and Z.D. Bai, "Remarks on certain criteria for detection of number of signals", IEEE Trans. Acoust. Speech Signal Process., Vol. 35, No. 2, February 1987, pp. 129-132.