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Simplified biorthogonal discrete wavelet transform for VLSI architecture design

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Abstract

Biorthogonal discrete wavelet transform (BDWT) has gained general acceptance as an image processing tool. For example, the JPEG2000 standard is completely based on the BDWT. In BDWT, the scaling (low-pass) and wavelet (high-pass) filters are symmetric and linear phase. In this work we show that by using a specific sign modulator the BDWT filter bank can be realized by only two biorthogonal filters. The analysis and synthesis parts use the same scaling and wavelet filters, which simplifies especially VLSI designs of the biorthogonal DWT/IDWT transceiver units. Utilizing the symmetry of the scaling and the wavelet filters we introduce a fast convolution algorithm for implementation of the filter modules. In multiplexer–demultiplexer VLSI applications both functions can be constructed via two running BDWT filters and the sign modulator.

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Authors and Affiliations

  1. Department of Applied Physics, University of Kuopio, 70211, Kuopio, Finland

    Hannu Olkkonen

  2. VTT Technical Research Centre of Finland, 90571, Oulu, Finland

    Juuso T. Olkkonen

Authors
  1. Hannu Olkkonen
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  2. Juuso T. Olkkonen
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Corresponding author

Correspondence to Hannu Olkkonen.

Additional information

This work was supported by the National Technology Agency of Finland (TEKES).

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Olkkonen, H., Olkkonen, J.T. Simplified biorthogonal discrete wavelet transform for VLSI architecture design. SIViP 2, 101–105 (2008). https://doi.org/10.1007/s11760-007-0036-1

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  • DOI: https://doi.org/10.1007/s11760-007-0036-1

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