Flexible Design of Multidimensional Perfect Reconstruction FIR 2-Band Filters Using Transformations of Variables

IEEE Transactions on Image Processing

Volumn 2, Issue 4, 1993, Pages 466-480

  Tay, David B H ^a   Kingsbury, Nick G ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747867957     PISSN: 10577149     EISSN: 19410042     Source Type: Journal    
DOI: 10.1109/83.242356     Document Type: Article

References (26)

1. R. Ansari, “Satisfying the haar condition in halfband FIR filter design,” IEEE Trans. Acoust. Speech Signal Processing, vol. 36, pp. 123–124, Jan. 1988.
2. R. Ansari and C. Guillemot, “Exact reconstruction filter banks using diamond FIR filters,” in Proc. Bilkent Int. Conf, pp. 1412–1424, Jul. 1990.
3. R. Ansari, C. Guillemot, and J. F. Kaiser, “Wavelet construction using Lagrange halfband filters,” IEEE Trans. Circuits and Systems, vol. 38, 1116–1118, Sept. 1991.
4. R. Ansari and C. L. Lau, “Two-dimensional HR filters for exact reconstruction in tree-structured subband decomposition,” Elec. Lett., vol. 23, pp. 633–644, Jun. 1987.
5. R. H. Bamberger and M. J. T. Smith, “A comparison of directionally-based and non-directionally-based subband image coder,” Proc. SPIE Conf. VCIP, vol. 1605, pp. 757–768, 1991.
6. R. H. Bamberger and M. J. T. Smith, “A filter bank for the directional decomposition of images: Theory and design,” IEEE Trans. Acoust. Speech Signal Processing, vol. 40, pp. 882–893, Apr. 1992.
7. T. Chen and P. P. Vaidyanathan, “Multidimensional multirate filters derived from one dimensional filters,” Elec. Lett., vol. 27, pp. 225–228, Jan. 1991.
8. R. Forchheimer and T. Kronander, “Image coding—from waveforms to animation,” IEEE Trans. Acoust. Speech Signal Processing, vol. 37, pp. 2008–2023, Dec. 1989.
9. K. Irie and R. Kishimoto, “A study on perfect recc structive subband coding,” IEEE Trans. Cct. and Sys. for Video Tech., vol. 1, pp. 42–48, Mar. 1991.
10. C. Kim and R. Ansari, “Subband decomposition procedure for quincunx sampling grids,” in Proc. SPIE Conf. VCIP, vol. 1605, pp. 112–123, 1991.
11. D. LeGall and A. Tabatabai, “Subband coding of digital images using symmetric short kernel filters and arithmetic coding techniques,” in Proc. IEEE Int. Conf. Acoust., Speech., Signal Processing, pp. 761–764, 1988.
12. J. S. Lim. Two-Dimensional Signal and Image Processing. Englewood Cliffs, NJ: Prentice-Hall, 1990.
13. J. H. McClellan, T. W. Parks, and L. R. Rabiner, “A Computer program for designing optimum FIR linear phase digital filters,” IEEE Trans. Audio Electroacoust., vol. 21, pp. 506–526, Dec. 1973.
14. W. F. G. Mecklenbrauker and R. M. Mersereau, “McClellan Transformations for two-dimensional digital filtering: II—Implementation,” IEEE Trans. Circuits and Systems, vol 23, pp. 414–422, Jul. 1976.
15. R. M. Mersereau, W. F. G. Mecklenbrauker, and T. F. Quatieri, Jr., “McClellan Transformations for two-dimensional digital filtering: I—Design,” IEEE Trans. Circuits and Systems, vol. 23, pp. 405—114, Jul. 1976.
16. R. M. Mersereau and T. C. Speake, “The processing of periodically sampled multidimensional signals,” IEEE Trans. Acoust. Speech Signal Processing, vol. 31, pp. 188—194, Feb. 1983.
17. F. Mintzer, “On half-band, third-band and nth-band FIR filters and their design,” IEEE Trans. Acoust. Speech Signal Processing, vol. 30, pp. 734–738, Oct. 1982.
18. A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing. Englewood Cliffs, NJ: Prentice-Hall, 1989.
19. I. A. Shah and A. A. C. Kalker, “Theory and design of multidimensional QMF sub-band filters from 1-D filters using transforms,” in IEE Int. Conf. Image Processing Applic., pp. 474—477, Apr. 1992.
20. J. M. Shapiro, “Adaptive Multidimensional perfect reconstruction filter banks using McClellan transformations,” in Proc. IEEE Int. Symp. Circuits. Sys., pp. 939–942, May 1992.
21. 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.
22. P. P. Vaidyanathan and T. Q. Nguyen, “A ‘TRICK’ for the design of FIR half-band filters,” IEEE Trans. Circuits and Systems, vol. 34, pp. 297–300, Mar. 1987.
23. M. Vetterli, “Filter banks allowing perfect reconstruction,” Signal Processing, vol. 10, pp. 219–244, Apr. 1986.
24. M. Vetterli, J. Kovacevic, and D. LeGall, “Perfect reconstruction filter banks for HDTV representation and coding,” Signal Processing: Image Communication, vol. 3, 349–363, Oct. 1990.
25. E. Viscito and J. P. Allebach, “The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices,” IEEE Trans. Circuits and Systems, vol. 38, pp. 29–41, Jan. 1991.
26. J. W. Woods, ed., Subband Image Coding. Norwell, MA: Kluwer Academic Press, 1991.