U-L block-triangular matrix and ladder realizations of subband coders

  • Authors:

  • T. G. Marshall, Jr.

  • Affiliations:

  • Dept. of ECE, Rutgers University, Piscataway, New Jersey

  • 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

The Euclidean algorithm, applied to zero-phase filters in the variable, w = (z + z-1)/2, is shown to provide a ladder structure realization of perfect reconstruction digital filter banks (DFB's) and wavelets. DFB matrices in the variable w are introduced and seen to have triangular factors corresponding to the ladder sections. Two-dimensional DFB's with diamond support are obtained from the McClellan transformation, and a related transform of a DFB in w to a two-dimensional DFB matrix is obtained. A design method based upon augmenting a given DFB with ladder sections is described. The application to the decomposition of biorthogonal wavelets is illustrated.