Wavelet transform domain adaptive fir filtering

IEEE Transactions on Signal Processing

Volumn 45, Issue 3, 1997, Pages 617-630

  Hosur, Srinath ^a,b   Tewfik, Ahmed H ^a  

^a University of Minnesota   (United States)

^b TEXAS INSTRUMENTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE FILTERING; ALGORITHMS; COMPUTATIONAL COMPLEXITY; CORRELATION THEORY; FOURIER TRANSFORMS; MATRIX ALGEBRA; TIME DOMAIN ANALYSIS; WAVELET TRANSFORMS;

DISCRETE COSINE TRANSFORMS; DISCRETE FOURIER TRANSFORMS; DISCRETE WAVELET TRANSFORMS; LEAST MEAN SQUARE ALGORITHMS;

DIGITAL FILTERS;

EID: 0031100538     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.558477     Document Type: Article

References (30)

1. B. Widrow and S. D. Stearns, Adaptive Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1985.
2. S. Haykin, Adaptive Filter Theory. Englewood Cliffs, NJ: Prentice-Hall, 1991.
3. S. Hosur, A. H. Tewfik, and D. L. Boley, "Generalized URV subspace tracking LMS algorithm," in preparation; see also IEEE Int. Conf. Acoust, Speech, Signal Processing, Adelaide, Australia, Apr. 1994.
4. J. J. Shynk, "Frequency domain and multirate adaptive filtering," IEEE Signal Processing Mag., vol. 9, no. 1, pp. 14-39, 1992.
5. S. Hosur and A. H. Tewfik, "Wavelet transform domain LMS algorithm," in IEEE Int. Conf. Acoust. Speech Signal Processing, Apr. 1993, vol. III, pp. 508-510.
6. N. Erdöl and F. Basbug, "Performance of wavelet transform based adaptive filters," in IEEE Int. Conf. Acoust. Speech Signal Processing, Apr. 1993, vol. III, pp. 500-503.
7. M. Doroslovacki and H. Fan, "Wavelet-based adaptive filtering," in IEEE Int. Conf. Acoust. Speech Signal Processing, Apr. 1993, vol. III, pp. 488-491.
8. J. C. Lee and C. K. Un, "Performance of transform domain LMS adaptive digital filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, no. 3, pp. 499-510, 1986.
9. A. Gilloire and M. Vetterli, "Adaptive filtering in subbands with critical sampling: Analysis, experiments, and application to acoustic echo cancellation," IEEE Trans. Signal Processing, vol. 40, no. 8, pp. 1862-1875, 1992.
10. D. F. Marshall, W. K. Jenkins, and J. J. Murphy, "The use of orthogonal transforms for improving performance of adaptive filters," IEEE Trans. Circuits Syst., vol. 36, no. 4, pp. 474-483, 1989.
11. S. Gazor and B. Farhang-Boroujeny, "Quantization effects in transformdomain normalized LMS algorithms," IEEE Trans. Circuits Syst. II: Analog Digital Signal Processing, vol. 39, no. 1, pp. 1-7, 1992.
12. A. H. Tewfik and M. Kim, "Fast positive definite linear system solvers," IEEE Trans. Signal Processing, vol. 42, pp. 572-585, Mar. 1994.
13. R. C. G. Beylkin and V. Rokhlin, "Fast wavelet transforms and numerical algorithms I," Commun. Pure Appl. Math., vol. XLIV, pp. 141-183, 1991.
14. M. V. Wickerhauser, "Non standard matrix multiplication," Dept. Math., Yale Univ., New Haven, CT, 1990, preprint.
15. G. W. Wornell and A. V. Oppenheim, "Wavelet based representations for a class of self-similar signals with applications to fractal modulation," IEEE Trans. Inform. Theory, vol. 38, no. 2, pp. 785-800, 1992.
16. H. Zou and A. H. Tewfik, "Design and parameterization of M-band orthonormal wavelets," in IEEE Int. Symp. Circ. Syst., May 1992, vol. 2, pp. 983-986.
17. P. Steffen, P. N. Heller, R. A. Gopinath, and C. S. Burrus, "Theory of regular M-band wavelet bases," IEEE Trans. Signal Processing, vol. 41, no. 12, pp. 3497-3511, 1993.
18. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
19. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding. Englewood Cliffs, NJ: Prentice-Hall PTR, 1995.
20. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993.
21. A. Cohen, I. Daubechies, and P. Vial, "Wavelets on the interval and fast wavelet transforms," Appl. Comput. Harmonic Anal., vol. 1, no. 1, pp. 54-81, 1993.
22. C. Herley and M. Vetterli, "Orthogonal time-varying filter banks and wavelet packets," IEEE Trans. Signal Processing, vol. 42, pp. 2650-2663, Oct. 1994.
23. B. B. Mandelbrot and J. W. V. Ness, "Fractional Brownian motions, fractional noises and applications," SIAM Rev., vol. 10, pp. 422-437, 1968.
24. J. R. M. Hosking, "Fractional differencing," Biometrica, vol. 68, no. 1, pp. 165-176, 1981.
25. M. Deriche and A. H. Tewfik, "Signal modeling with filtered discrete fractional noise processes," IEEE Trans. Signal Processing, vol. 41, pp. 2839-2849, Sept. 1993.
26. W. S. Burdic, Underwater Acoustic System Analysis. Englewwod Cliffs, NJ: Prentice-Hall, 1984.
27. G. H. Golub and C. F. Van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins Univ. Press, 1983.
28. G. A. F. Seber and C. J. Wild, Nonlinear Regression. New York: Wiley, 1989.
29. G. Ungerboeck, "Theory on the speed of convergence in adaptive equalizers for digital communication," IBM J. Res. Dev., vol. 16, pp. 546-555, 1972.
30. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1991.