The GenLOT: Generalized linear-phase lapped orthogonal transform

IEEE Transactions on Signal Processing

Volumn 44, Issue 3, 1996, Pages 497-507

  De Queiroz, Ricardo L ^b   Nguyen, Troung Q ^a,c   Rao, K R ^a,d  

^a IEEE

^b XEROX CORPORATION   (United States)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

^d UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SOFTWARE; DIGITAL SIGNAL PROCESSING; IMAGE CODING; IMAGE COMPRESSION; IMAGE SEGMENTATION; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; VECTORS; VLSI CIRCUITS;

DISCRETE COSINE TRANSFORM; FINITE LENGTH SIGNALS; LAPPED ORTHOGONAL TRANSFORMS; LINEAR PHASE PARAUNITARY FILTER BANK;

DIGITAL FILTERS;

EID: 0030107893     PISSN: 1053587X     EISSN: None     Source Type: Journal    
DOI: 10.1109/78.489023     Document Type: Article

References (22)

1. K. R. Rao and P. Yip, Discrete Cosine Transform: Algorithms, Advantages, Applications. San Diego, CA: Academic, 1990.
2. H. S. Malvar and D. H. Staelin, "The LOT: Transform coding without blocking effects," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 553-559, Apr. 1989.
3. P. Cassereau, "A new class of optimal unitary transforms for image processing," Master's thesis, Mass. Inst. Technol., Cambridge, MA, May 1985.
4. H. S. Malvar, "Optimal pre- and post-filters in noisy sampled data systems," Ph.D. dissertation, Mass. Inst. Technol., Cambridge, MA, Sept. 1986.
5. P. P. Vaidyanathan, Multirate Systems and Filter Banks, Englewood Cliffs, NJ: Prentice-Hall, 1993.
6. T. Q. Nguyen and P. P. Vaidyanathan, "Structures for M-channel perfect reconstruction FIR QMF banks which yield linear phase analysis filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 433-446, Mar. 1990.
7. T. Q. Nguyen and P. P. Vaidyanathan, "Two-channel perfect reconstruction FIR QMF structures which yield linear phase analysis and synthesis filters," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 676-690, May 1989.
8. M. Vetterli and C. Herley, "Wavelets and filter banks: Theory and design," IEEE Trans. Signal Processing, vol. 40, pp. 2207-2232, Sept. 1992.
9. M. Vetterli and D. Le Gall, "Perfect reconstruction filter banks: Some properties and factorizations," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 1057-1071, July 1989.
10. H. S. Malvar, Signal Processing With Lapped Transforms. Norwood, MA: Artech House, 1992.
11. A. K. Soman, P. P. Vaidyanathan, and T. Q. Nguyen, "Linear-phase orthonormal filter banks," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, Minneapolis, MN, vol. III, Apr. 1993, pp. 209-212.
12. _, "Linear-phase paraunitary filter banks: Theory, factorizations and applications," IEEE Trans. Signal Processing, vol. 41, Dec. 1993.
13. R. E. Crochiere and L. R. Rabiner, Multirate Digital Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1983.
14. R. L. de Queiroz, "Subband processing of finite length signals without border distortions," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, San Francisco, CA, vol. IV, 1992, pp. 613-616.
15. M. J. 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.
16. G. Karlsson and M. Vetterli, "Extension of finite length signals for subband coding," Signal Processing, vol. 17, pp. 161-168, 1989.
17. K. Nishikawa, H. Kiya, and M. Sagawa, "Property of circular convolution for subband image coding," in Proc. Int. Conf. Acoust., Speech, Signal Processing, vol. IV, 1992, pp. 281-284.
18. S. Martucci, "Signal extension and noncausal filtering for subband coding of images," in Proc. SPIE VCIP '91: Visual Commun. Image Processing, vol. 1605, Nov. 1991, pp. 137-148.
19. V. Nury and R. Bamberger, "A theory of size-limited filter banks," in Proc. Int. Conf. Acoust., Speech, Signal Processing, vol. III, 1993, pp. 161-164.
20. R. L. de Queiroz and K. R. Rao, "On orthogonal transforms of images using paraunitary filter banks," J. Visual Commun. Image Representation, vol. 6, no. 2, pp. 142-153, June 1995.
21. N. S. Jayant and P. Noll, Digital Coding of Waveforms. Englewood Cliffs, NJ: Prentice-Hall, 1984.
22. W. B. Pennebaker and J. L. Mitchell, JPEG: Still Image Compression Standard, New York: Van Nostrand Reinhold, 1993.