Design of Two-Channel Quincunx Quadrature Mirror Filter Banks Using Digital All-Pass Lattice Filters
This paper deals with the problem of two-dimensional (2-D) recursive two-channel quincunx quadrature mirror filter (QQMF) banks design. The analysis and synthesis filters of the 2-D recursive QQMF bank are composed of 2-D recursive digital allpass lattice filters (DALFs) with symmetric half-plane (SHP) support regions. Using the 2-D doubly complementary half-band (DC-HB) property possessed by the analysis and synthesis filters, we facilitate the design of the proposed QQMF bank. For finding the coefficients of the 2-D recursive SHP DALFs, we present a structure of 2-D recursive digital allpass filters by using 2-D SHP recursive digital all-pass lattice filters (DALFs). The novelty of using 2-D SHP recursive DALFs to construct a 2-D recursive QQMF bank is that the resulting 2-D recursive QQMF bank provides better performance than the existing 2-D recursive QQMF banks. Simulation results are also presented for illustration and comparison.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1130163Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 420
 S. I. Park, M. J. Smith, and R. M. Mersereau, “Improved structure of maximally decimated directional filter banks for spatial image analysis”, IEEE Transactions on Image Processing, vol. 13, no. 11, pp. 1424-1431, Nov. 2004.
 T. T. Nguyen and S. P. Oraintara, “Multiresolution direction filter banks: Theory, design and application”, IEEE Transactions on Signal Processing, vol. 53, no. 10, pp. 3895-3905, Oct. 2005.
 Z. Lei and A. P. Makur, “Two-dimensional antisymmetric linear phase filter bank construction using symmetric completion”, IEEE Transactions on Circuits and Systems-II: Express Briefs, vol. 54, no. 1, pp. 57 –60, Jan. 2007.
 P. G. Patwardhan, B. Patil, and V. M. Gadre, “Polyphase conditions and structures for 2-D quincunx FIR filter banks having quadrantal or diagonal symmetries” IEEE Transactions on Circuits and Systems-II: Express Briefs, vol. 54, no. 9, pp. 790 –794, Sept. 2007.
 J.-H. Lee and Y.-H. Yang, “Two-dimensional recursive digital filters with nearly circular-symmetric magnitude response and approximately linear phase,” International Journal of Circuit Theory and Applications, vol. 39, no. 12, pp. 1215-1229, Dec. 2011.
 J.-H. Lee and Y.-H. Yang, “Two-channel quincunx QMF banks using two-dimensional digital allpass filters,” IEEE Transactions on Circuits and Systems – I, vol. 56, no. 12, pp. 2644-2654, Dec. 2009.
 M. Vetterli and G. Karlsson, “Theory of two-dimensional multirate filter banks,” IEEE Transactions on Acoustics, Speech and Signal Processing, vol. 38, no. 6, pp. 925-937, June 1990.
 P. Siohan, “2-D FIR filter design for sampling structure conversion,” IEEE Transactions on Circuits and Systems for Video Technology, vol. 1, no. 4, pp. 337-350, Apr. 1991.
 A. Knoll, “Filter design for the interpolation of highly subsampled pictures,” Signal Processing: Image Communication, vol. 3, pp. 239-248, 1991.
 G. E. Antoniou, “2-D lattice discrete filters: minimal delay and state space realization,” IEEE Signal Processing Letters, vol. 8, no. 1, pp. 23-25, Jan. 2001.
 S. C. Pei and J.-J. Shyu, “Eigenfilter design of 1-D and 2-D IIR digital all-pass filters,” IEEE Transactions on Signal Processing, vol. 42, no. 4, pp. 966-968, Apr. 1994.
 J. Nocedal and S. J. Wright, Numerical Optimization, New York: Springer-Verlag, 1999.
 Vaidyanathan P. P. Multirate Systems and Filter Banks. New Jersey, Prentice Hall: Englewood Cliffs, 1992.