Orthogonal Time-Varying Filter Banks and Wavelet Packets

IEEE Transactions on Signal Processing

Volumn 42, Issue 10, 1994, Pages 2650-2663

  Herley, Cormac ^a   Vetterli, Martin ^b  

^a HEWLETT PACKARD LABORATORIES   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION CHANNELS (INFORMATION THEORY); DIGITAL FILTERS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPTIMIZATION; SIGNAL DISTORTION; TIME VARYING CONTROL SYSTEMS; Z TRANSFORMS;

ORTHOGONAL TIME VARYING FILTER BANKS; WAVELET PACKETS;

SIGNAL FILTERING AND PREDICTION;

EID: 0028516472     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.324731     Document Type: Article

References (28)

1. M. J. T. Smith and T. P. Barnwell III, “Exact reconstruction for tree-structured subband coders,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 434 441, June 1986.
2. P. P. Vaidyanathan, “Quadrature mirror filter banks, M -band extensions and perfect-reconstruction technique,” IEEE ASSP Mag., vol. 4, pp. 4–20, July 1987.
3. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice Hall, 1992.
4. M. Vetterli and C. Herley, “Wavelets and filter banks: Theory and design,” IEEE Trans. Signal Processing, vol. 40, Sept. 1992, pp. 2207–2232.
5. F. Mintzer, “Filters for distortion-free two-band multirate filter banks,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 626–630, June 1985.
6. M. Vetterli and D. Le Gall, “Perfect reconstruction FIR filter banks: Some properties and factorizations,” IEEE Trans. Acoust., Speech, Signal Processing., vol. 37, pp. 1057–1071, July 1989.
7. K. Nayebi, T. P. Barnwell III, and M. J. T. Smith, “Time domain filter bank analysis: A new design theory,” IEEE Trans. Signal Processing, vol. 4, June 1992, pp. 1414–1429.
8. C. Herley, “Boundary filters for finite-length signals and time-varying filter banks,” IEEE Trans. Circuits Syst. II, scheduled for publication 1994.
9. C. Herley and M. Vetterli, “Orthogonal time-varying filter banks and wavelets,” in Proc. IEEE Int. Symp. Circ. Syst. (Chicago), May 1993, pp. 391–394, vol. I.
10. C. Herley et al., “Time-varying orthonormal tilings of the time-frequency frequency plane,” in Proc. IEEE Int. Conf. ASSP (Minneapolis, MN), Apr. 1993, pp. 205–208, vol. III.
11. C. Herley et al., “Tilings of the time-frequency plane: Construction of arbitrary orthogonal bases and fast tiling algorithms,” IEEE Trans. Signal Processing, vol. 41, Dec. 1993, pp. 3341–3359.
12. Y. Meyer, “Ondelettes sur l’Interval,” Rev. Mat. Iberoamericana, vol. 7, pp. 115–133, 1992.
13. A. Cohen, I. Daubechies, and P. Vial, “Wavelet bases on the interval and fast algorithms,” J. Appl. Comput. Harmonic Anal., vol. 1, pp. 54–81, Dec. 1993.
14. K. Nayebi, T. P. Barnwell III, and M. J. T. Smith, “Analysis-synthesis systems with time-varying filter bank structures,” in Proc. IEEE Int. Conf. ASSP (San Francisco, CA), Mar. 1992, pp. 617–620.
15. R. L. de Queiroz, “Subband processing of finite length signals without border distortions,” in Proc. IEEE Int. Conf. ASSP (San Francisco CA), May 1992, pp. 613–616.
16. G. Strang, Introduction to Applied Mathematics. Wellesley, MA: Wellesley Cambridge Press, 1986.
17. G. E. Shilov, Linear Algebra. New York: Dover, 1971
18. I. Gohberg and S. Goldberg, Basic Operator Theory. Boston: Birkhauser, 1981.
19. I. Daubechies, Ten Lectures on Wavelets. SIAM, 1992.
20. I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Commun. Pure, Appl. Math., vol. XLI, pp. 909–996, 1988.
21. G. Karlsson and M. Vetterli, “Sub-band coding of finite length signals,” Signal Processing, vol. 17, no. 2, pp. 161–168, 1989.
22. M. J. T. Smith and S. L. Eddins, “Analysis/synthesis techniques for subband image coding,” IEEE Trans. Acoust. Speech, Signal Processing, vol. 38, pp. 1446–1456, Aug. 1990.
23. R. Coifman and M. Wickerhauser, “Entropy-based algorithms for best basis selection,” IEEE Trans. Inform. Theory, vol. 38, pp. 713–718, Mar. 1992.
24. J. L. Arrowood and M. J. T. Smith, “Exact reconstruction analysis/synthesis filter banks with time-varying filters,” in Proc. IEEE Int. Conf. ASSP (Minneapolis, MN), Apr. 1993, pp. III 233–236.
25. S. Mallat, “A theory for multiresolution signal decomposition: The wavelet representation,” IEEE Trans. Pattern Anal. Machine Intell., vol. 11, no. 7, pp. 674–693, 1989.
26. Y. Meyer, Ondelettes, vol. 1 of Ondelettes et Opérateurs. Paris: Hermann, 1990.
27. R. L. de Queiroz and K. R. Rao, “Time-varying lapped transforms and wavelet packets,” IEEE Trans. Signal Processing, vol. 41, pp. 3293–3305, Dec. 1993.
28. H. S. Malver, Signal Processing with Lapped Transforms. Dedham, MA: Artech House, 1992.