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A Study on Conjugate Quadrature Filters

Abstract

It is very important for generating an orthonormal multiwavelet system to construct a conjugate quadrature filter (CQF). In this paper, a general method of constructing a length- CQF with multiplicity and scale from a length- CQF is obtained. As a special case, we study generally the construction of a length- CQF with multiplicity 2 and scale 2 which can generate a compactly supported symmetric-antisymmetric orthonormal multiwavelet system from a length- CQF.

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Author information

Correspondence to Jin-Song Leng.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Keywords

  • Information Technology
  • Quantum Information
  • Full Article
  • Publisher Note
  • Quadrature Filter