Arbitrary tilings of the time-frequency plane using local bases

IEEE Transactions on Signal Processing

Volumn 47, Issue 8, 1999, Pages 2293-2304

  Bernardini, Riccardo ^a   Kovačević, Jelena ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b LUCENT TECHNOLOGIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL COMPLEXITY; COSINE TRANSFORMS; FREQUENCY DOMAIN ANALYSIS; FREQUENCY RESPONSE; TIME DOMAIN ANALYSIS;

COSINE MODULATED FILTER BANKS; MODULATED LAPPED TRANSFORMS; TIME FREQUENCY PLANE;

ELECTRIC FILTERS;

EID: 0033171325     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.774773     Document Type: Article

References (22)

1. Y. Meyer, Wavelets: Algorithms and Applications. Philadelphia, PA: SIAM, Translated and revised by R. D. Ryan, 1993.
2. R. Coifman, Y. Meyer, S. Quake, and M. Wickerhauser, "Signal processing and compression with wavelet packets," Tech. Rep., Yale Univ., New Haven, CT, 1991.
3. R. Coifman and Y. Meyer, "Remarques sur l'analyze de Fourier à fenêtre," C. R. Acad. Sci. Paris, vol. I, pp. 259-261, 1991.
4. P. Auscher, G. Weiss, and M. Wickerhauser, "Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets," in Wavelets: A Tutorial in Theory and Applications, C. K. Chui, Ed. San Diego, CA: Academic, 1992.
5. B. Jawerth and W. Sweldens, "Biorthogonal smooth local trigonometric bases," J. Fourier Anal. Appl., vol. 2, 1996.
6. S. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries," IEEE Trans. Signal Processing, vol. 41, pp. 3397-3415, Dec. 1993.
7. C. Thiele and L. F. Villemoes, "A fast algorithm for adapted time-frequency tilings," Yale Univ., New Haven, CT, preprint, 1994.
8. H. Malvar, Signal Processing with Lapped Transforms, Norwood, MA: Artech House, 1992.
9. J. Princen, A. Johnson, and A. Bradley, "Subband transform coding using filter bank designs based on time domain aliasing cancellation," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, Dallas, TX, Apr. 1987, pp. 2161-2164.
10. T. A. Ramstad and J. Tanem, "Cosine-modulated analysis-synthesis filterbank with critical sampling and perfect reconstruction," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Toronto, Ont., Canada, May 1991, pp. 1789-1792.
11. R. D. Koilpillai and P. P. Vaidyanathan, "New results on cosine-modulated FIR filter banks satisfying perfect reconstruction," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Toronto, Ont., Canada, May 1991, pp. 1793-1796.
12. C. Herley, J. Kovačević, K. Ramchandran, and M. Vetterli, "Tilings of the time-frequency plane: Construction of arbitrary orthogonal bases and fast tiling algorithms," IEEE Trans. Signal Processing, Special Issue on Wavelets and Signal Processing, vol. 41, pp. 3341-3359, Dec. 1993.
13. J. D. Johnston and A. J. Ferreira, "Sum-difference stereo transform coding," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., San Francisco, CA, Mar. 1992, pp. II:569-572.
14. C. Todd, G. Davidson, M. Davis, L. Fielder, B. Link, and S. Vernon, "AC-3: Flexible preceptual coding for audio transmission and storage," in Proc. Conv. AES, Amsterdam, The Netherlands, Feb. 1994.
15. J. Kovačević, D. LeGall, and M. Vetterli, "Image coding with windowed modulated filter banks," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Glasgow, U.K., May 1989, pp. 1949-1952.
16. A. Johnson, J. Princen, and M. Chan, "Frequency scalable video coding using the MDCT," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process., Adelaide, Australia, 1994.
17. R. Bernardini and J. Kovačević, "Local orthogonal bases I: Construction," Multidim. Syst. Signal Process., Special Issue on Wavelets and Multiresolution Signal Processing, vol. 7, pp. 331-370, July 1996.
18. Invited paper. Reprinted in Multidimensional Filter Banks and Wavelets, S. Basu and B. Levy, Eds. Boston, MA: Kluwer, 1997.
19. R. Bernardini and J. Kovačević, "Local orthogonal bases II: Window design," Multidim. Syst. Signal Process., Special Issue on Wavelets and Multiresolution Signal Processing, vol. 7, pp. 371-00, July 1996. Invited paper. Reprinted in Multidimensional Filter Banks and Wavelets, S. Basu and B. Levy, Eds. Boston, MA: Kluwer, 1997.
20. M. Vetterli and J. Kovačević, Wavelets and Subband Coding. Englewood Cliffs, NJ: Prentice-Hall, 1995.
21. J. D. Johnston, "Subband and wavelet transforms: designs and applications," in Filterbank Interactions with Audio Coding. Boston, MA: Kluwer, 1995.
22. D. Sinha and J. Johnston, private communication, 1995.