Convergence of an iterative time-variant filtering based on discrete Gabor transform

IEEE Transactions on Signal Processing

Volumn 47, Issue 10, 1999, Pages 2894-2899

  Xia, Xiang Gen ^a,b   Qian, Shie ^a,b  

^a UNIVERSITY OF DELAWARE   (United States)

^b NATIONAL INSTRUMENTS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL TRANSFORMATIONS;

DISCRETE GABOR TRANSFORMS; TIME INVARIANT FILTERS;

SIGNAL FILTERING AND PREDICTION;

EID: 0033339818     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.790674     Document Type: Article

References (20)

1. C. Wilcox, "The synthesis problem for radar ambiguity functions," Tech Summary Rep. 157, Math. Res. Center, Univ. Wisconsin, Madison, Apr 1960.
2. G. F. Boudreaux-Bartels and T. W. Parks, "Time-varying filtering an signal estimation using Wigner distribution synthesis techniques," IEEE Trans. Acoust., Speech, Signal Processing., vol. ASSP-34, pp. 442-451, June 1986
3. S. Farkash and S. Raz, "Time-variant filtering via the Gabor expansion," Signal Processing V: Theories and Applications. New York: Elsevier, 1990, pp. 509-512.
4. F. Hlawatsch and W. Krattenthaler, "Bilinear signal synthesis," IEE Trans. Signal Processing, vol. 40, pp. 352-363, Feb. 1992.
5. F. Hllawatsch and W. Kozek, "Time-frequency projection filters and time-frequency signal expansions," IEEE Trans. Signal Processing, vol. 42, pp. 3321-3334, Dec. 1994.
6. S. Qian and D. Chen, Joint Time-Frequency Analysis. Englewoo Cliffs, NJ: Prentice-Hall, 1996
7. X.-G. Xia and S. Qian, "An iterative algorithm for time-variant filtering in the discrete Gabor transform domain," Proc. ICASSP, Munich, Germany, 1997, pp. 2121-2124.
8. J. Wexler and S. Raz, "Discrete Gabor expansions," Signal Process. vol. 21, pp. 207-220, 1990
9. S. Qian and D. Chen, "Discrete Gabor transform," IEEE Trans. Signal Processing, vol. 41, pp. 2429-2438, July 1993
10. __, "Optimal biorthogonal analysis window function for discrete Gabor transform," IEEE Trans. Signal Processing, vol. 42, pp. 694-697, Mar. 1994
11. S. Qian, K. Chen, and S. Li, "Optimal biorthogonal functions for finite discrete-time Gabor expansion," Signal Process., vol. 27, pp. 177-185, 1992
12. A. J. E. M. Janssen, "Duality and biorthogonality for discrete-time WeylHeisenberg frames," RWR-518-RE-94001-ak Unclassified Rep. 002/94, Philips Research Labs., Eindhoven, The Netherlands, 1994
13. X.-G. Xia, "On characterization of the optimal biorthogonal window functions for Gabor transforms," IEEE Trans. Signal Processing, vol. 44, pp. 133-136, Feb. 1996
14. J. von Neumann, The Geometry of Orthogonal Spaces, vol. II. Princeton, NJ: Princeton Univ. Press, 1950
15. G. H. Golub and C. F. van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins Univ. Press, 1983
16. S. Qiu and H. G. Feichtinger, "Discrete Gabor structures and optimal representations," IEEE Trans. Signal Processing, vol. 43, pp. 2258-2268, Oct. 1995
17. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1993
18. X.-G. Xia, "System identification using chirp signals and time-variant filters in the joint time-frequency domain," IEEE Trans. Signal Processing, vol. 45, pp. 2072-2084, Aug. 1997
19. __, "A quantitative analysis of SNR in the short-time Fourier transform domain for multicomponent signals," IEEE Trans. Signal Processing, vol. 46, pp. 200-203, Jan. 1998
20. H. G. Feichtinger and T. Strohmer, Eds., Gabor Analysis and Algorithms. Boston, MA: Birkhauser, 1997.