Boundary Filters for Finite-Length Signals and Time-Varying Filter Banks

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 42, Issue 2, 1995, Pages 102-114

  Herley, Cormac ^a  

^a Och Spine at New York Presbyterian Hospitals   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DATA COMPRESSION; IMAGE COMPRESSION; LINEAR ALGEBRA; SIGNAL PROCESSING; SPEECH PROCESSING;

BOUNDARY FILTERS; FINITE LENGTH SIGNALS; MULTIRATE FILTER BANKS; TIME VARYING FILTER BANKS; TIME VARYING SYNTHESIS;

DIGITAL FILTERS;

EID: 0029246897     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/82.365349     Document Type: Article

References (32)

1. M. J. T. Smith and T. P. Barnwell III, “Exact reconstruction for tree-structured subband coders,” IEEE Trans. Acoust., Speech, Signal Process., vol. 34, pp. 434-441, June 1986.
2. M. Vetterli and D. Le Gall, “Perfect reconstruction FIR filter banks: some properties and factorizations,” IEEE Trans. Acoust., Speech, Signal Process., vol. 37, pp. 1057-1071, July 1989.
3. P. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1992.
4. H. S. Malvar, Signal Processing with Lapped Transforms. Norwood, MA: Artech House, 1992.
5. C. Herley and M. Vetterli, “Orthogonal time-varying filter banks and wavelets,” in Proc. IEEE Int. Symp. Circuits Syst., May 1993, vol. I, 391-394.
6. _, “Orthogonal time-varying filter banks and wavelet packets,” IEEE Trans. Signal Process., vol. 42, no. 10, pp. 2650-2663, Oct. 1994.
7. 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 Process., Special Issue vol. 3341-3359, Dec. 1993.
8. G. E. Shilov, Linear Algebra. New York: Dover, 1971.
9. M. Vetterli and C. Herley, “Wavelets and filter banks: Theory and design,” IEEE Trans. Signal Process., vol. 40, pp. 2207-2232, Sept. 1992.
10. K. Nayebi, T. P. Barnwell III, and M. J. T. Smith, ' ‘Time domain filter bank analysis: A new design theory,” IEEE Trans. Signal Process., vol. IV, pp. 1414-1429, June 1992.
11. J. P. Princen and A. B. Bradley, “Analysis/synthesis filter bank design based on time domain aliasing cancellation,” IEEE Trans. Acoust., Speech, Signal Process., vol. 34, pp. 1153-1161, Oct. 1986.
12. C. Herley, “Wavelets and filter banks,” Ph.D. dissertation, Columbia University, New York, NY, April 1993. Available by anonymous ftp to , under /CTR-Research/advent/public/papers/PhD_theses/Herley.
13. 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, Mar. 1992, pp. 617-620.
14. R. L. de Queiroz and K. R. Rao, ' ‘Time-varying lapped transforms and wavelet packets,” IEEE Trans. Signal Process., vol. 41, no. 12, pp. 3293-3305, Dec. 1993.
15. M. V. Wickerhauser, “INRIA lectures on wavelet packet algorithms,” Dept. of Math., Yale Univ., New Haven, CT, Tech. Rep., Mar. 1991.
16. R. L. de Queiroz and K. R. Rao, “Reconstruction methods for processing finite length signals with paraunitary filter banks,” IEEE Trans. Signal Process., 1995, to be published.
17. 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.
18. G. Karlsson and M. Vetterli, “Sub-band coding of finite length signals,” Signal Process., vol. 17, no. 2, pp. 161-168, 1989.
19. M. J. T. Smith and S. L. Eddins, “Analysis/synthesis techniques for subband image coding,” IEEE Trans. Acoust., Speech, Signal Process., vol. 38, 1446-1456, 1990.
20. R. H. Bamberger, S. L. Eddins, and V. Nuri, “Generalizing symmetric extension: Multiple channels and multidimensional nonseparable IIR filter banks,” in Proc. IEEE Int. Symp. Circ. Syst., May 1992, pp. 991-994.
21. R. L. de Queiroz, “Subband processing of finite length signals without border distortions,” in Proc. IEEE Int. Conf. ASSP, May 1992, pp. 613-616.
22. Math Works Inc., Pro-Matlab User’s Guide. South MA: 1990.
23. O. Rioul and P. Duhamel, “Fast algorithms for discrete and continuous wavelet transforms,” IEEE Trans. Inform. Theory, vol. 38, no. 2, pp. 1991.
24. I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Commun. Pure and Appl. Mathemat., vol. XLI, pp. 909-996, 1988.
25. C. Herley, J. Kovačevć, K. Ramchandran, and M. Vetterli, “Arbitrary orthogonal tilings of the time-frequency plane,” in Int. Symp. Time-Frequency and Time-Scale Anal., 11-14, Oct. 1992.
26. J. L. Arrowood and M. J. T. Smith, “Exact reconstruction analysis/synthesis filter banks with time-varying filters,” in Proc. IEEE Int. Conf ASSP, Apr. 1993, pp. HI: 233-236.
27. K. Asai, K. Ramchandran, and M. Vetterli, “Image representation using time-varying wavelet packets, spatial segmentation and quantization,” in Proc. CISS, Mar. 1993.
28. M. Vetterli, “Filter banks allowing perfect reconstruction,” Signal vol. 1986.
29. P. N. Heller and H. W. Resnikoff, “Regular M-and wavelets and applications,” in Proc. IEEE Int. Conf ASSP, Apr. 1993, pp. III: 229-232.
30. R. Gopinath and C. S. Burrus, “Wavelet transforms and filter banks,” in Wavelets: a Tutorial, C. K. Chui, Ed. San Diego, CA: Academic, 1992.
31. H. Zhou and A. H. Tewfik, “Discrete orthogonal M band wavelet decomposition,” in Proc. IEEE Int. Conf. ASSP, April 1992, pp. IV: 605-609.
32. R. A. Gopinath and C. S. Burrus, “Factorization approach to unitary time-varying filter banks,” IEEE Trans. Signal Process., submitted for publication.