Oversampled wilson expansions

IEEE Signal Processing Letters

Volumn 4, Issue 4, 1997, Pages 106-108

  Bölcskei, Helmut ^a   Gröchenig, Karlheinz ^b   Hlawatsch, Franz ^a   Feichtinger, Hans G ^c  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^b UNIVERSITY OF CONNECTICUT   (United States)

^c UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; REDUNDANCY; SET THEORY; TIME DOMAIN ANALYSIS;

WEYL-HEISENBERG SETS; WILSON EXPANSIONS;

DIGITAL SIGNAL PROCESSING;

EID: 0031118641     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/97.566702     Document Type: Article

References (13)

1. J. Bastiaans, "Gabor's expansion of a signal into Gaussian elementary signals," Proc. IEEE, vol. PROC-68, pp. 538-539, Apr. 1980.
2. J. Wexler and S. Raz, "Discrete Gabor expansions," Signal Processing, vol. 21, pp. 207-220, 1990.
3. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: SIAM, 1992.
4. M. Zibulski and Y. Zeevi, "Oversampling in the Gabor scheme," IEEE Trans. Signal Processing, vol. 41, pp. 2679-2687,Aug. 1993.
5. A. J. E. M. Janssen, "Duality and biorthogonality for Weyl-Heisenberg frames," J. Fourier Anal. AppL vol. 1, pp. 403-437, 1995.
6. I. Daubechies, H. Landau, and Z. Landau, "Gabor time-frequency lattices and the Wexler-Raz identity," J. Fourier Anal. Appl., vol. I, pp. 437-437, 1995.
7. C. E. Heil and D. F. Walnut, "Continuous and discrete wavelet transforms," SIAM Rev., vol. 31, pp. 628-666, Dec. 1989.
8. J. J. Benedetto, C. Heil, and D. F. Walnut, "Differentiation and the Balian-Low theorem," J. Fourier Anal. Appl., vol. 1, no. 4, pp. 355-403.
9. I. Daubechies, S. Jaffard, and J. L. Journé, "A simple Wilson orthonormal basis with exponential decay," SIAM J. Math. Anal., vol. 22, pp. 554-572, 1991.
10. P. Auscher, "Remarks on the local Fourier bases," in Wavelets: Mathematics and Applications, J. J. Benedetto and M. W. Frazier, Eds. Boca Raton, FL: CRC, 1994, pp. 203-218.
11. H. G. Feichtinger, K. Gröchenig, and D. Walnut, "Wilson bases and modulation spaces," Math. Nachrichten, vol. 155, pp. 7-17, 1992.
12. H. Bölcskei, H. G. Feichtinger, K. Gröchenig, and F. Hlawatsch, "Discrete-time Wilson expansions," in Proc. IEEE 1996 Int. Symp. Time-Frequency and Time-Scale Analysis, Paris, France, June 1996, pp. 525-528.
13. H. Bölcskei and F. Hlawatsch, "Wilson-type oversampled cosine modulated filter banks with linear phase," in Proc. 30th Asilomar Conf. Signals, Systems, and Computers, Pacific Grove, CA, Nov. 1996.