On the Realizability of Biorthogonal, m-Dimensional Two-Band Filter Banks

IEEE Transactions on Signal Processing

Volumn 43, Issue 3, 1995, Pages 640-648

  Tolhuizen, Ludo ^a   Hollmann, Henk ^a   Kalker, Ton A C M ^a  

^a PHILIPS RESEARCH LABORATORIES   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ALGORITHMS; ELECTRIC NETWORK ANALYSIS; ELECTRIC NETWORK SYNTHESIS; FREQUENCY RESPONSE; LADDER NETWORKS; MATHEMATICAL OPERATORS; POLYNOMIALS; VECTORS; Z TRANSFORMS;

BIORTHOGONAL; DIMENSIONALITY; FILTER BANKS;

DIGITAL FILTERS;

EID: 0029273775     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.370619     Document Type: Article

References (11)

1. E. Viscito and J. Allebach, “The analysis and design of multidimensional FIR perfect reconstruction filter banks for arbitrary sampling lattices,” IEEE Trans. Circ. Syst., vol. 38, pp. 29-11, Jan. 1991.
2. K. Nayebi, T. Barnwell, and M. Smith, “The time-domain analysis and design of exactly reconstructing FIR analysis/synthesis filter banks,” in Proc. ICASSP, Apr. 1990, pp. 1735-1738.
3. P. Vaidyanathan, Multirate Systems and Filter Banks. Englewood Cliffs, NJ: Prentice Hall, 1992.
4. M. Vetterli, “A theory of multirate filter banks,” IEEE Trans. Acoust. Speech Signal Processing, pp. 356-372, Mar. 1987.
5. M. Vetterli and D. L. Gall, “Perfect reconstruction FIR filter banks: Some properties and factorizations,” IEEE Trans. Acoust. Speech Signal Processing, vol. 37, pp. 1057-1071, July 1989.
6. P. Vaidyanathan and P.-Q. Hoang, “ Lattice structures for the optimal design and robust implementation of two-band QMF banks,” IEEE Trans. Acoust. Speech Signal Processing, vol. 36, pp. 81-94, Jan. 1988.
7. A. Bruekers and A. van den Enden, “New networks for perfect inversion and perfect reconstruction,” IEEE J. Select. Areas Commun., vol. 10, pp. 130-137, Jan. 1992.
8. B. van der Waerden, Algebra I & II, vol. 12 and 23 of Heidelberger Taschenbücher. Berlin: Springer-Verlag, 1971, 8th ed.
9. A. Suslin, “On the structure of the special linear group over polynomial rings,” Math. USSR lsv., pp. 221-238, 1977.
10. H. Park and C. Woodburn, “An algorithmic proof of Suslin’s stability theorem for polynomial rings,” submitted to J. Algebra., 1994.
11. H. Park, Private communication, 1994.