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Odd-Factor Algorithms for Multidimensional Discrete W Transform

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Abstract

New fast algorithms are proposed for the multidimensional type-II, -III, and -IV discrete W transforms. Detailed procedures of decomposition are given for the twoand three-dimensionalWtransform based on the use of odd factors in the transforms sizes. The proposed algorithms have a regular computational structure, support various transform lengths, and can be easily extended to higher-dimensional computations.

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Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Block S1, Nanyang Technological University, 639798., Singapore

    Guoan Bi & Zhiping Lin

  2. Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong

    Yonghong Zeng

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  1. Guoan Bi
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  2. Yonghong Zeng
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  3. Zhiping Lin
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Correspondence to Guoan Bi, Yonghong Zeng or Zhiping Lin.

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Bi, G., Zeng, Y. & Lin, Z. Odd-Factor Algorithms for Multidimensional Discrete W Transform. Circuits Syst Signal Process 22, 377–393 (2003). https://doi.org/10.1007/s00034-004-7038-9

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  • DOI: https://doi.org/10.1007/s00034-004-7038-9

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