Multidimensional perfect reconstruction filter banks with generalized subsampling

  • Authors:
  • Masoud R. K. Khansari;A. Leon-Garcia

  • Affiliations:
  • Department of Electrical & Computer Engineering, University of Toronto, Ontario, Canada;Department of Electrical & Computer Engineering, University of Toronto, Ontario, Canada

  • Venue:
  • ICASSP'93 Proceedings of the 1993 IEEE international conference on Acoustics, speech, and signal processing: digital speech processing - Volume III
  • Year:
  • 1993

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Abstract

There are sampling strategies for multidimensional signals where the output of the subsampler is not a sublattice of the input lattice but is a union of the cosets of a sublattice. One example of such sampling grids is the line-quincunx subsampling which is used in some of the HDTV coding proposals. In this paper, we show a method to analyze multirate systems with this type of sampling strategy. To this end, we generalize sub/up-sampling operations and derive perfect reconstruction conditions for tow-band subband decomposition.