Design of Efficient M-Band Coders with Linear-Phase and Perfect-Reconstruction Properties

IEEE Transactions on Signal Processing

Volumn 43, Issue 7, 1995, Pages 1579-1590

  Alkin, Oktay ^a   Caglar, Hakan ^b  

^a SOUTHERN ILLINOIS UNIVERSITY EDWARDSVILLE   (United States)

^b MATERIALS INSTITUTE   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BANDPASS FILTERS; BLOCK CODES; COMMUNICATION CHANNELS (INFORMATION THEORY); CONSTRAINT THEORY; FREQUENCY DOMAIN ANALYSIS; LOW PASS FILTERS; MATRIX ALGEBRA; SIGNAL ENCODING; TIME DOMAIN ANALYSIS; WAVELET TRANSFORMS;

DISCRETE COSINE TRANSFORM; KARHUNEN-LOEVE TRANSFORM; LAPPED ORTHOGONAL TRANSFORM; LINEAR PHASE FILTER BANKS; MODULATED LAPPED TRANSFORMS; SHUFFLING OPERATORS; SUBBAND CODER;

DIGITAL FILTERS;

EID: 0029342593     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.398719     Document Type: Article

References (39)

1. A. N. Akansu, R. A. Haddad, and H. Caglar, “The binomial QMF-wavelet transform for multiresolution signal decomposition,” to appear in IEEE Trans. Signal Processing.
2. R. Ansari, “Two-dimensional IIR filters for exact reconstruction in tree-structured subband decomposition,” Electron. Lett., vol. 23, no. 12, pp. 633-634, June 1987.
3. M. Bellanger, G. Bonnerot, and M. Coudreuse, “Digital filtering by polyphase network: Application to sample rate alteration and filter banks,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-24, pp. 109-114, Apr. 1976.
4. H. Caglar, Y. Liu, and A. N. Akansu, “Statistically optimized PR-QMF design,” in Proc. SPIE Visual Commun. Image Processing, 1991, pp. 86-94.
5. P. M. Cassereau, D. H. Staelin, and G. Jager, “Encoding of images based on lapped orthogonal transform,” IEEE Trans. Commun., vol. 37, no. 2, pp. 189-193, Feb. 1989.
6. C. K. Chui, An Introduction to Wavelets. Boston, MA: Academic, 1991.
7. R. E. Crochiere, S. A. Webber, and J. L. Flanagan, “Digital coding of speech in subbands,” Bell Syst. Tech. J., vol. 55, pp. 1069-1085, Oct. 1976.
8. R. E. Crochiere and L. R. Rabiner, “Interpolation and decimation of digital signals: A tutorial review,” Proc. IEEE, vol. 69, pp. 300-331, Mar. 1981.
9. Multirate Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1983.
10. A. Croisier, D. Esteban, and C. Galand, “Perfect channel splitting by use of interpolation, decimation, tree decomposition techniques,” in Proc. Int. Conf. Inform. Sci./Syst., Aug. 1976, pp. 443-446.
11. I. Daubechies, “Orthonormal bases of compactly supported wavelets,” Commun. Pure Applied Math., vol. 41, no. 7, 909-996, 1988.
12. “The wavelet transform, time-frequency localization, and signal analysis,” IEEE Trans. Inform. Theory, vol. 36, pp. 961-1005, Sept. 1990.
13. D. Esteban and C. Galand, “Application of quadrature mirror filters to split-band voice coding schemes,” in Proc. ICASSP, May 1977, pp. 191-195.
14. H. Gharavi and A. Tabatabai, “Subband coding of digital images using two-dimensional quadrature mirror filtering,” in Proc. SPIE, Sept. 1986, vol. 707, pp. 51-61.
15. N. S. Jayant and P. Noll, Digital Coding of Waveforms. Englewood Cliffs, NJ: Prentice-Hall, 1984.
16. S. G. Mallat, “A theory of multiresolution signal decomposition: The wavelet representation,” IEEE Trans. Patt. Recogn. Machine Intell., vol. 11, no. 7, pp. 674-693, July 1989.
17. “Multiffequency channel decompositions of images and wavelet models,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 2091-2110, Dec. 1989.
18. Time-Frequency Representation and Wavelet Transforms, Course Notes at New York University, 1991.
19. H. S. Malvar, “The LOT: A link between transform coding and multirate filter banks,” in Proc. Int. Symp. Circuits Acoust. Syst., Espoo, Finland, July 1988, pp. 835-838.
20. H. S. Malvar and D. H. Staelin, “The LOT: Transform coding without blocking effects,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 4, pp. 553-559, Apr. 1989.
21. H. S. Malvar, “Modulated lapped transforms: Properties, applications and fast algorithms,” Preprint.
22. T. Q. Nguyen and P. P. Vaidyanathan “Maximally decimated perfect reconstruction FIR filter banks with pairwise mirror-image analysis and synthesis frequency responses,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 36, no. 5, pp. 693-706, May 1988.
23. M. Smith and T. P. Barnwell, “Exact reconstruction for tree-structured subband coders,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, pp. 434-441, June 1986.
24. “A new filter bank theory for time-frequency representation,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 3, pp. 314-327, Mar. 1987.
25. T. A. Ramstad, “IIR filter bank for subband coding of images,” in Proc. Int. Symp. Circuits Acoust. Syst., Espoo, Finland, July 1988, pp. 827-830.
26. P. P. Vaidyanathan, “Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M. having the perfect-reconstruction property,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 4, pp. 476-492, Apr. 1987.
27. P. P. Vaidyanatan, P. Regalia, and S. K. Mitra, “Design of doubly complementary IIR digital filters using a single complex allpass filter, with multirate applications,” IEEE Trans. Circuits Syst., vol. 34, Apr. 1987.
28. P. P. Vaidyanathan, “Quadrature mirror filter banks, M-band extensions and perfect reconstruction techniques,” IEEE Acoust, Speech Signal Processing Mag., vol. 4, pp. 4-20, July 1987.
29. P. P. Vaidyanathan, T. Q. Nguyen, Z. Doganata, and T. Saramaki, “Improved technique for design of perfect reconstruction FIR QMF banks with lossless polyphase matrices,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 1042-1056, July 1989.
30. P. P. Vaidyanathan and Z. Doganata, “The role of lossless systems in modern digital signal processing: A tutorial,” IEEE Trans. Educat., vol. 32, no. 3, pp. 181-197, Aug. 1989.
31. P. P. Vaidyanathan, “Multirate digital filters, filter banks, polyphase networks, and applications: A tutorial,” Proc. IEEE, vol. 78, no. 1, pp. 56-93, Jan. 1990.
32. Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice-Hall, 1992.
33. M. Vetterli, “Multi-dimensional sub-band coding: Some theory and algorithms,” Signal Processing, vol. 6, no. 2, pp. 97-112, Feb. 1984.
34. “A theory of multirate filter banks,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-35, no. 3, pp. 356-372, Mar. 1987.
35. M. Vetterli and D. J. Le Gall, “Perfect reconstruction FIR filter banks: Some properties and factorizations,” IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, no. 7, pp. 1057-1071, July 1989.
36. M. Vetterli, “Wavelets and filter banks for discrete-time signal processing,” in Wavelets and Their Applications, R. Coifman, et al., Eds. New York: Jones and Bartlett, 1991.
37. M. Vetterli and C. Herley, “Wavelet and filter banks: Relationships and new results,” in Proc. ICASSP, May 1991, pp. 1723-1726.
38. “Wavelets and filter banks: Theory and design,” IEEE Trans. Signal Processing, vol. 40, pp. 2207-2232, Sept. 1992.
39. J. W. Woods and S. D. O’;Neil, “Subband coding of images,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, no. 5, pp. 1278-1288, Oct. 1986.