Fractional biorthogonal partners in channel equalization and signal interpolation

IEEE Transactions on Signal Processing

Volumn 51, Issue 7, 2003, Pages 1928-1940

  Vrcelj, Bojan ^a   Vaidyanathan, P P ^a  

^a California Institute of Technology   (United States)

Author keywords

Biorthogonal partners; Channel equalization; Multirate signal processing; Noise suppression; Signal interpolation

Indexed keywords

COMPUTER SIMULATION; DIGITAL COMMUNICATION SYSTEMS; EQUALIZERS; FIR FILTERS; INTERPOLATION; LEAST SQUARES APPROXIMATIONS; SPURIOUS SIGNAL NOISE;

CHANNEL EQUALIZATION;

SIGNAL PROCESSING;

EID: 0037861988     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSP.2003.812844     Document Type: Article

References (29)

1. N. Al-Dhahir and J. M. Cioffi, "Efficiently computed reduced-parameter input-aided MMSE equalizers for ML detection: A unified approach," IEEE Trans. Inform. Theory, vol. 42, pp. 903-915, May 1996.
2. 2 and the wavelet transform," in Proc. SPIE San Diego, CA, 1994, vol. 2303, Wavelet applications in signal and image processing II, pp. 36-45.
3. Z. Ding and L. Qiu, "Blind MIMO channel identifiability from second order statistics," in Proc. Conf. Decision Control, Sydney, Australia, Dec. 2000.
4. H. S. Hou and H. C. Andrews, "Cubic splines for image interpolation and digital filtering," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-26, pp. 508-517, 1978.
5. T. Kailath, Linear Systems. Englewood Cliffs, NJ: Prentice-Hall, 1980.
6. I. Kalet, "Multitone modulation," in Subband and Wavelet Transforms: Design and Applications, A. N. Akansu and M. J. T. Smith, Eds. Boston, MA: Kluwer, 1995.
7. J. Kovačević and M. Vetterli, "Perfect reconstruction filter banks with rational sampling factors," IEEE Trans. Signal Processing, vol. 41, pp. 2047-2066, June 1993.
8. Y.-P. Lin and S.-M. Phoong, "ISI-free FIR filterbank transceivers for frequency-selective channels," IEEE Trans. Signal Processing, vol. 49, pp. 2648-2658, Nov. 2001.
9. K. Nayebi, T. P. Barnwell, III, and M. J. T. Smith, "The design of perfect reconstruction nonuniform band filter banks," in Proc. ICASSP, Toronto, ON, Canada, May 1991.
10. J. G. Proakis, Digital Communications. New York: MCGraw-Hill, 1995.
11. C.B. Ribeiro, M. L. R. de Campos, and P. S. R. Diniz, "FIR equalizers with minimum redundancy," in Proc. ICASSP, Orlando, FL, May 2002.
12. I. J. Schoenberg, Cardinal Spline Interpolation. Philadelphia, PA: SIAM, 1973.
13. D. T. M. Slock, "Blind fractionally-spaced equalization, perfect-reconstruction filter banks and multichannel linear prediction," in Proc. ICASSP, Adelaide, Australia, Apr. 1994.
14. _, "Blind joint equalization of multiple synchronous mobile users using oversampling and/or multiple antennas," in Proc. 28th Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Oct. 1994.
15. C. W. Therrien, Discrete Random Signals and Statistical Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1992.
16. L. Tong, G. Xu, and T. Kailath, "A new approach to blind identification and equalization of multipath channels," in Proc. 25th Asilomar Conf. Signals, Syst., Comput., Pacific Grove, CA, Nov. 1991.
17. J. R. Treichler, I. Fijalkow, and C. R. Johnson, Jr., "Fractionally spaced equalizers: How long should they really be?," IEEE Signal Processing Mag., pp. 65-81, May 1996.
18. M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing - Part I: Theory," IEEE Trans. Signal Processing, vol. 41, pp. 821-833, Feb. 1993.
19. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1995.
20. P. P. Vaidyanathan and T. Chen, "Role of anticausal inverses in multirate filterbanks - Part I: System-theoretic fundamentals," IEEE Trans. Signal Processing, vol. 43, pp. 1090-1102, May 1995.
21. P. P. Vaidyanathan and B. Vrcelj, "Biorthogonal partners and applications," IEEE Trans. Signal Processing, vol. 49, pp. 1013-1027, May 2001.
22. B. Vrcelj and P. P. Vaidyanathan, "Efficient implementation of all-digital interpolation," IEEE Trans. Image Processing, vol. 10, pp. 1639-1647, Nov. 2001.
23. _, "Fractional biorthogonal partners and application to signal interpolation," in Proc. ISCAS, Scottsdale, AZ, May 2002.
24. _,"Fractional biorthogonal partners in fractionally spaced equalizers," in Proc. ICASSP, Orlando, FL, May 2002.
25. _, "Least squares signal approximation using multirate systems: Multichannel nonuniform case," in Proc. 35th Asilomar Conf. Signals, Syst., Comput, Pacific Grove, CA, Nov. 2001.
26. _,"MIMO biorthogonal partners and applications," IEEE Trans. Signal Processing, vol. 50, pp. 528-543, Mar. 2002.
27. _, "On the general form of FIR MIMO biorthogonal partners," in Proc. 35th Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2001.
28. _, "Theory of MIMO biorthogonal partners and their application in channel equalization," in Proc. ICC, Helsinki, Finland, June 2001.
29. X.-G. Xia, "New preceding for intersymbol interference cancellation using nonmaximally decimated multirate filterbanks with ideal FIR equalizers," IEEE Trans. Signal Processing, vol. 45, pp. 2431-2441, Oct. 1997.