2-D non-separable integer implementation of paraunitary filter bank based on the quaternionic multiplier block-lifting structure. Rybenkov, E. V. & Petrovsky, N. A. In 2019 27th European Signal Processing Conference (EUSIPCO), pages 1-5, Sep., 2019. Paper doi abstract bibtex This paper presents a novel technique of factorization for 2-D non-separable quaternionic paraunitary filter banks (2-D NSQ-PUFB) based on the integer-to-integer invertible quaternionic multipliers. Two-dimensional factorization structures called ”16in-16out” and ”64in-64out” respectively for 4-channel and 8-channel Q-PUFB based on the proposed technique are shown. Comparison of the energy compaction level between the 2-D separable Q-PUFB based on the 1D Q-PUFB (8×24 Q-PUFB one-dimensional coding gain is CG1D = 9.38 dB) and 2D non-separable Q-PUFB (8 × 24 2D-NSQ-PUFB, multidimensional coding gain is CGMD = 17.15 dB) for the Barbara image shows that the 2-D non-separable Q-PUFB generates a higher percentage of small-value coefficients, hence creates a significant increase in the number of zero trees. This holds the key to our coder's superior performance.
@InProceedings{8902489,
author = {E. V. Rybenkov and N. A. Petrovsky},
booktitle = {2019 27th European Signal Processing Conference (EUSIPCO)},
title = {2-D non-separable integer implementation of paraunitary filter bank based on the quaternionic multiplier block-lifting structure},
year = {2019},
pages = {1-5},
abstract = {This paper presents a novel technique of factorization for 2-D non-separable quaternionic paraunitary filter banks (2-D NSQ-PUFB) based on the integer-to-integer invertible quaternionic multipliers. Two-dimensional factorization structures called ”16in-16out” and ”64in-64out” respectively for 4-channel and 8-channel Q-PUFB based on the proposed technique are shown. Comparison of the energy compaction level between the 2-D separable Q-PUFB based on the 1D Q-PUFB (8×24 Q-PUFB one-dimensional coding gain is CG1D = 9.38 dB) and 2D non-separable Q-PUFB (8 × 24 2D-NSQ-PUFB, multidimensional coding gain is CGMD = 17.15 dB) for the Barbara image shows that the 2-D non-separable Q-PUFB generates a higher percentage of small-value coefficients, hence creates a significant increase in the number of zero trees. This holds the key to our coder's superior performance.},
keywords = {channel bank filters;image coding;trees (mathematics);quaternionic multiplier block-lifting structure;integer-to-integer invertible quaternionic multipliers;two-dimensional factorization structures;8-channel Q-PUFB;2D nonseparable Q-PUFB;2D-NSQ-PUFB;2D nonseparable integer implementation;2D nonseparable quaternionic paraunitary filter banks;energy compaction level;8×24 Q-PUFB one-dimensional coding gain;Barbara image;zero trees;Quaternions;Two dimensional displays;Transforms;TV;Image coding;Europe;Signal processing;quaternionic paraunitary filter banks;two-dimensional;non-separable transform},
doi = {10.23919/EUSIPCO.2019.8902489},
issn = {2076-1465},
month = {Sep.},
url = {https://www.eurasip.org/proceedings/eusipco/eusipco2019/proceedings/papers/1570532500.pdf},
}
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Two-dimensional factorization structures called ”16in-16out” and ”64in-64out” respectively for 4-channel and 8-channel Q-PUFB based on the proposed technique are shown. Comparison of the energy compaction level between the 2-D separable Q-PUFB based on the 1D Q-PUFB (8×24 Q-PUFB one-dimensional coding gain is CG1D = 9.38 dB) and 2D non-separable Q-PUFB (8 × 24 2D-NSQ-PUFB, multidimensional coding gain is CGMD = 17.15 dB) for the Barbara image shows that the 2-D non-separable Q-PUFB generates a higher percentage of small-value coefficients, hence creates a significant increase in the number of zero trees. 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Comparison of the energy compaction level between the 2-D separable Q-PUFB based on the 1D Q-PUFB (8×24 Q-PUFB one-dimensional coding gain is CG1D = 9.38 dB) and 2D non-separable Q-PUFB (8 × 24 2D-NSQ-PUFB, multidimensional coding gain is CGMD = 17.15 dB) for the Barbara image shows that the 2-D non-separable Q-PUFB generates a higher percentage of small-value coefficients, hence creates a significant increase in the number of zero trees. 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