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Multidimensional Two-channel Linear Phase FIR Filter Banks and Wavelet Bases with Vanishing Moments

Authors
  • Cooklev, Todor1
  • Nishihara, Akinori2
  • Yoshida, Toshiyuki3
  • Sablatash, Mike4
  • 1 3Com Corporation, 605 N. 5600 West, Salt Lake City, UT, 84116 , Salt Lake City
  • 2 Tokyo Institute of Technology, Department of Physical Electronics, Tokyo, 152, Japan , Tokyo
  • 3 Tokyo Institute of Technology, Department of Information Processing, Yokohama, 227, Japan , Yokohama
  • 4 Communications Research Centre, Ottawa, Ontario, Canada , Ottawa
Type
Published Article
Journal
Multidimensional Systems and Signal Processing
Publisher
Kluwer Academic Publishers
Publication Date
Jan 01, 1998
Volume
9
Issue
1
Pages
39–76
Identifiers
DOI: 10.1023/A:1008235605754
Source
Springer Nature
Keywords
License
Yellow

Abstract

In the paper new design methods for multidimensional two-channel perfect reconstruction (PR) FIR filter banks are described. The filters have linear phase, achieve an arbitrarily high number of vanishing moments and can be used to obtain biorthogonal wavelet bases. Two-dimensional wavelet bases with square, rectangular, and hexagonal support are constructed. A design method that trades off vanishing moments and frequency selectivity is described. These two properties are both important in subband coding, but they each require a share of the degrees of freedom available from the total number of filter coefficients. Novel analytic formulae are derived and are applied to provide illustrative examples.

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