Discrete frequency warped wavelets: theory and applications

IEEE Transactions on Signal Processing

Volumn 46, Issue 4, 1998, Pages 874-885

  Evangelista, Gianpaolo ^a,b   Cavalière, Sergio ^b  

^a IEEE   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Quadrature mirror filters; Time frequency analysis; Wavelet transforms

Indexed keywords

EID: 0001047492     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.668543     Document Type: Article

References (27)

1. K. Huffman, Banach Spaces of Analytic Functions. New York: Dover, p. 64.
2. A. Galembo and A. Askenfelt, "Novel methods for the analysis of inharmonicity," Speech Transmission Lab. Quarterly Progress Status Rep., R. Inst. Technol., Stockholm, Sweden, pp. 135-144, 1994.
3. M. Podlesak and A. R. Lee, "Dispersion of waves in piano strings," J. Acoust. Soc. Amer., vol. 83, no. 1, pp. 305-317, Jan. 1988.
4. P. Morse and K. Ingard, Theoretical Acoustics. New York: McGraw-Hill, 1968.
5. J. O. Smith, III, "Physical modeling using digital waveguides," Comput. Music J., vol. 16, no. 4, pp. 74-87, 1992.
6. G. Evangelista and S. Cavalière, "The discrete-time frequency warped wavelet transforms," in Proc. ICASSP, Munich, Germany, Apr. 1997.
7. T. Oliveira e Silva, "On the determination of the optimal pole posi-tion of Laguerre filters," IEEE Trans. Signal Processing, vol. 43, pp. 2079-2087, Sept. 1995.
8. _, "Optimality conditions for truncated Laguerre networks," IEEE Trans. Signal Processing, vol. 42, pp. 2528-2530, Sept. 1994.
9. C. Braccini and A. V. Oppenheim, "Unequal bandwidth spectral analysis using digital frequency warping," IEEE Trans. Acoust., Speech Signal Processing, vol. ASSP-22, pp. 236-244, Aug. 1974.
10. A. V. Oppenheim and D. H. Johnson, "Discrete representation of signals," Proc. IEEE, vol. 60, pp. 681-691, June 1972.
11. A. V. Oppenheim, D. H. Johnson, and K. Steiglitz, "Computation of spectra with unequal resolution using the fast Fourier transform," Proc. IEEE, vol. 59, pp. 299-301, Feb. 1971.
12. R. G. Baraniuk and D. L. Jones, "Warped wavelets bases: Unitary equivalence and signal processing," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Process, ICASSP, 1993, vol. III, pp. 320-323.
13. R. G. Baraniuk and D. L. Jones, "Unitary equivalence: A new twist on signal processing," IEEE Trans. Signal Processing, vol. 43, pp. 2269-2282, Oct. 1995.
14. P. W. Broome, "Discrete orthonormal sequences," J. Assoc. Comput. Mach., vol. 12, no. 2, pp. 151-168, 1965.
15. M. A. Masnadi-Shirazi, "Optimum Laguerre networks for a class of discrete-time systems," IEEE Trans. Signal Processing, vol. 39, pp. 2104-2108, Sept. 1991.
16. P. P. Vaidyanathan, "Multirate digital filters, filter banks, polyphase networks, and applications: A tutorial," Proc. IEEE, vol. 78, pp. 56-93, 1990.
17. M. Vetterli, "A theory of multirate filter banks," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, pp. 356-372, 1987.
18. I. Daubechies, "Orthonormal bases of compactly supported wavelets," Commun. Pure Appl. Math., vol. XLI, no. 7, pp. 909-996, 1988.
19. G. Evangelista, "Comb and multiplexed wavelet transforms and their applications to signal processing," IEEE Trans. Signal Processing, vol. 42, pp. 292-303, Feb. 1994.
20. _, "Pitch synchronous wavelet representations of speech and music signals," IEEE Trans. Signal Processing, vol. 41, pp. 3313-3330, Dec. 1993.
21. _, "The coding gain of multiplexed wavelet transforms," IEEE Trans. Signal Processing, vol. 44, pp. 1681-1692, July 1996.
22. G. Evangelista and S. Cavalière, "Frequency warped filter banks and wavelet transforms: A discrete-time approach via Laguerre expansion," submitted for publication.
23. T. Blu, "Iterated filter banks with rational rate changes connection with discrete wavelet transform," IEEE Trans. Signal Processing, vol. 41, pp. 3232-3244, Dec. 1993.
24. C. Herley, J. Kovacevic, K. Ramchandran, and M. Vetterli, "Tilings of the time-frequency plane: Construction of arbitrary orthogonal bases and fast tiling algorithms," IEEE Trans. Signal Processing, vol. 41, pp. 3341-3359, Dec. 1993.
25. R. R. Coifman and M. V. Wickerhauser, "Entropy-based algorithms for best basis selection," IEEE Trans. Inform. Theory, vol. 38, pp. 713-718, Mar. 1992.
26. G. Strang and V. Strela, "Orthogonal multiwavelets with vanishing moments," J. Opt. Eng., vol. 33, pp. 2104-2107, 1994.
27. 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, pp. 785-800, Mar. 1992.