Approximation of matrices by Gabor multipliers

IEEE Signal Processing Letters

Volumn 11, Issue 11, 2004, Pages 883-886

  Feichtinger, Hans G ^a   Hampejs, Mario ^a   Kracher, Günther ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; DIGITAL FILTERS; FAST FOURIER TRANSFORMS; MATRIX ALGEBRA; NATURAL FREQUENCIES; WAVELET TRANSFORMS;

GABOR MULTIPLIERS; GABOR TRANSFORM; MATRIX APPROXIMATION; TIME VARIANT FILTERING;

SIGNAL FILTERING AND PREDICTION;

EID: 7444257545     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2004.833581     Document Type: Article

References (23)

1. H. Bölcskei, F. Hlawatsch, and H. G. Feichtinger, "Equivalence of DFT filter banks and Gabor expansions," in Proc. SPIE, vol. 2569, July 1995, pp. 128-139.
2. H. Bölcskei, F. Hlawatsch, and H. G. Feichtinger, "Oversampled FIR and IIR DFT filter banks and Weyl-Heisenberg frames," in Proc. IEEE ICASSP-96, vol. 3, Atlanta, GA, 1996, pp. 1391-1394.
3. H. Bölcskei and F. Hlawatsch, "Oversampled modulated filter banks," in Gabor Analysis and Algorithms: Theory and Applications, H. G. Feichtinger and T. Strohmer, Eds. Boston, MA: Birkhäuser, 1998, ch. 9, pp. 295-322.
4. 2(◇," in Proc. ICASSP-95, Detroit, MI, 1995, pp. 1456-1459.
5. Z. Cvetkoviæ and M. Vetterli, "Oversampled filter banks," IEEE Trans. Signal Processing, vol. 46, pp. 1245-1255, May 1998.
6. I. Daubechies, "Time-frequency localization operators: A geometric phase space approach," IEEE Trans. Inform. Theory, vol. 34, no. 4, July 1988.
7. I. Daubechies, "The wavelet transform, time-frequency localization, and signal analysis," IEEE Trans. Inform. Theory, vol. 36, pp. 961-1005, 1990.
8. I. Daubechies, "Ten lectures on wavelets," in CBMS-NSF Reg. Conf. Sedes in Applied Math. SIAM, 1992.
9. I. Daubechies and T. Paul, "Time-frequency localization operators: A geometric phase space approach II. The use of dilations and translations," Inv. Probl., vol. 4, pp. 661-680, 1988.
10. S. Farkash and S. Raz, "Time variant filtering via the Gabor representation," Signal Process., pp. 509-512, 1990.
11. S. Farkash, and S. Raz, "Linear systems in Gabor time-frequency space," IEEE Trans. IEEE Signal Processing, vol. 42, pp. 611-617, 1994.
12. H. G. Feichtinger and K. Nowak, A First Survey of Gabor Multipliers, 2003, pp. 99-128. Ch. 5, in [14].
13. H. G. Feichtinger and T. Strohmer, Eds., "Gabor analysis and algorithms: Theory and applications," in Applied and Numerical Harmonic Analysis. Boston, MA: Birkhäuser, 1998.
14. H. G. Feichtinger and T. Strohmer, Eds., "Advances in Gabor analysis," in Applied and Numerical Harmonic Analysis. Boston, MA: Birkhäuser, 2003.
15. H. G. Feichtinger and K. Gröchenig, "Banach spaces related to integrable group representations and their atomic decompositions, I," J. Funct. Anal,, vol. 86, pp. 307-340, 1989.
16. H. G. Feichfinger, "Gabor multipliers and spline-type spaces over LCA groups," in Wavelet Analysis: Twenty Years' Developments, D. X. Zhou, Ed, Singapore: World Scientific, 2002.
17. K. Griöchenig and M. Leinert, Wiener' s Lemma for twisted convolution and Gabor frames,, submitted for publication.
18. A. J. E. M. Janssen and T. Strohmer, "Characterization and computation of canonical tight windows for Gabor frames," J. Fourier Anal. Appl., vol. 8, no. 1, pp. 1-28, 2002.
19. M. L. Kramer, "Improved time-frequency filtering using an STFT analysis-modification-synthesis ," in Proc. IEEE-SP Internal. Symp. on Time-Frequency and Time-Scale Analysis, Philadelphia, PA, Oct. 1994, pp. 264-267.
20. H. J. Landau and H. Widom, "Eigenvalue distribution of time and frequency limiting," J. Math. Anal. Appl., vol. 77, pp. 469-481, 1980.
21. S. Qian and D. Chen, Joint Time-Frequency Analysis: Method and Application. Englewood Cliffs, NJ: Prentice-Hall, 1996.
22. A. Teuner and B. J. Hosticka, "Adaptive filter for two-dimensional Gabor transformation and its implementation," Proc. Inst. Elect. Eng., vol. 140, no. 1, pp. 2-6, 1993.
23. D. F. Walnut, "Continuity properties of the Gabor frame operator," J. Math. Anal. Applicat., vol. 165. no. 2, pp. 479-504, 1992.