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Hexagonally symmetric orthogonal filters with \(\sqrt{3}\) refinement

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Abstract

The complete parametrization of orthogonal hexagonally symmetric low-pass filters with \(\sqrt{3}\) refinement is presented for several cases of coefficient supports. Given a symmetric low-pass filter, a method that allows to construct hexagonally symmetric tight wavelet frames is suggested. Also, a framework for the construction of orthogonal hexagonally symmetric wavelets is presented.

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Authors and Affiliations

  1. Saint Petersburg State University, 7/9, University Embankment, Saint Petersburg, Russia, 199034

    Aleksandr Krivoshein

  2. Regional Mathematical Center of Southern Federal University, 105/42, Bolshaya Sadovaya, Rostov-on-Don, Russia, 344006

    Aleksandr Krivoshein

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  1. Aleksandr Krivoshein
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Correspondence to Aleksandr Krivoshein.

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The author is supported by the Russian Science Foundation under Grant No. 18-11-00055.

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Krivoshein, A. Hexagonally symmetric orthogonal filters with \(\sqrt{3}\) refinement. Multidim Syst Sign Process 32, 217–238 (2021). https://doi.org/10.1007/s11045-020-00735-y

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  • DOI: https://doi.org/10.1007/s11045-020-00735-y

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