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Multidimensional digital filtering by using parallel algorithms based on diagonal processing

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Abstract

An approach for massive parallel processing in multidimensional digital filtering, which has briefly been introduced for causal digital filters in previous publications, is generalized and examined in more detail. It is based on a suitably modified sampling procedure combined with diagonal processing and does not require any additional arithmetic operations in comparison with corresponding conventional digital filtering. The condition that has to be satisfied for making the approach suitable for full parallel processing is derived. Properties of diagonal hyperplanes as required for the present approach are discussed.

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Authors and Affiliations

  1. Lehrstuhl für Nachrichtentechnik, Ruhr-Universität Bochum, D-4630, Bochum, Germany

    Xiaojian Liu & Alfred Fettweis

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  1. Xiaojian Liu
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  2. Alfred Fettweis
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Liu, X., Fettweis, A. Multidimensional digital filtering by using parallel algorithms based on diagonal processing. Multidim Syst Sign Process 1, 51–66 (1990). https://doi.org/10.1007/BF01812206

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  • DOI: https://doi.org/10.1007/BF01812206

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