Two-Dimensional Antisymmetric Linear Phase Filter Bank Construction using Symmetric Completion

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 54, Issue 1, 2007, Pages 57-60

  Lei, Zhang ^a   Makur, Anamitra ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Groebner basis (GB); linear phase (LP); multidimensional (MD) filter banks (FBs); perfect reconstruction

Indexed keywords

COMPUTER SIMULATION; FILTER BANKS; IMAGE RECONSTRUCTION;

GROEBNER BASIS (GB); LINEAR PHASE (LP); LINEAR PHASE FILTER BANK CONSTRUCTION; MULTIDIMENSIONAL (MD) FILTER BANKS; PERFECT RECOSTRUCTION;

DIGITAL FILTERS;

EID: 33847672255     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2006.883207     Document Type: Article

References (9)

1. C. Charoenlarpnopparut and N. K. Bose, “Multidimensional FIR filter bank design using Groebner bases,” IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 46, no. 12, pp. 1475–1486, Dec. 1999.
2. H. Park, “Optimal design of synthesis filters in multidimensional per-fectreconstruction FIR filter banks using Groebner bases,” IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 49, no. 6, pp. 843–851, Jun. 2002.
3. J. Zhou and M. N. Do, “Multidimensional oversampled filter banks,” in SPIE, Wavelets XI, Sep. 2005, vol. 5914, no. 1, pp. 591424.1–591424.12.
4. J. Zhou and M. N. Do, “Multidimensional multichannel FIR deconvolution using Groebner bases,” IEEE Trans. Image Processing, to be published.
5. Z. P. Lin, L. Xu, and Q. H. Wu, “Appliation of Grobner bases to signals and image processing: a survey,” Linear Algebra Appl., vol. 391, pp. 169–202, 2004.
6. L. Zhang and A. Makur, “Multidimensional perfect reconstruction filter banks—an approach of algebraic geometry,” Multidim. Syst. Signal Proces., 2006, submitted for publication.
7. T. Q. Nguyen and P. P. Vaidyanathan, “Two-channel perfect-recon-struction FIR QMF structures which yield linear-phase analysis and synthesis filters,” IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 5, pp. 676–690, May 1989.
8. S. Basu, “Multi-dimensional filter banks and wavelets—a system theoretic perspective,” J. Franklin Inst., vol. 335B, no. 8, pp. 1367–1409, Nov. 1998.
9. D. Cox, J. Little, and D. O'Shea, Ideals, Varieties and Algorithms (2ed.). New York: Springer-Verlag Inc., 1996.