Constraints of Second-Order Vanishing Moments on Lattice Structures for Non-separable Orthogonal Symmetric Wavelets
Summary :
In this paper, a design method of two-dimensional (2-D) orthogonal symmetric wavelets is proposed by using a lattice structure for multi-dimensional (M-D) linear-phase paraunitary filter banks (LPPUFB), which the authors have proposed as a previous work and then modified by Lu Gan et al. The derivation process for the constraints on the second-order vanishing moments is shown and some design examples obtained through optimization with the constraints are exemplified. In order to verify the significance of the constraints, some experimental results are shown for Lena and Barbara image.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E92-A No.3 pp.788-797
- Publication Date
- 2009/03/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E92.A.788
- Type of Manuscript
- Special Section PAPER (Special Section on Latest Advances in Fundamental Theories of Signal Processing)
- Category
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Atsuyuki ADACHI, Shogo MURAMATSU, Hisakazu KIKUCHI, "Constraints of Second-Order Vanishing Moments on Lattice Structures for Non-separable Orthogonal Symmetric Wavelets" in IEICE TRANSACTIONS on Fundamentals,
vol. E92-A, no. 3, pp. 788-797, March 2009, doi: 10.1587/transfun.E92.A.788.
Abstract: In this paper, a design method of two-dimensional (2-D) orthogonal symmetric wavelets is proposed by using a lattice structure for multi-dimensional (M-D) linear-phase paraunitary filter banks (LPPUFB), which the authors have proposed as a previous work and then modified by Lu Gan et al. The derivation process for the constraints on the second-order vanishing moments is shown and some design examples obtained through optimization with the constraints are exemplified. In order to verify the significance of the constraints, some experimental results are shown for Lena and Barbara image.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E92.A.788/_p
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@ARTICLE{e92-a_3_788,
author={Atsuyuki ADACHI, Shogo MURAMATSU, Hisakazu KIKUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Constraints of Second-Order Vanishing Moments on Lattice Structures for Non-separable Orthogonal Symmetric Wavelets},
year={2009},
volume={E92-A},
number={3},
pages={788-797},
abstract={In this paper, a design method of two-dimensional (2-D) orthogonal symmetric wavelets is proposed by using a lattice structure for multi-dimensional (M-D) linear-phase paraunitary filter banks (LPPUFB), which the authors have proposed as a previous work and then modified by Lu Gan et al. The derivation process for the constraints on the second-order vanishing moments is shown and some design examples obtained through optimization with the constraints are exemplified. In order to verify the significance of the constraints, some experimental results are shown for Lena and Barbara image.},
keywords={},
doi={10.1587/transfun.E92.A.788},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - Constraints of Second-Order Vanishing Moments on Lattice Structures for Non-separable Orthogonal Symmetric Wavelets
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 788
EP - 797
AU - Atsuyuki ADACHI
AU - Shogo MURAMATSU
AU - Hisakazu KIKUCHI
PY - 2009
DO - 10.1587/transfun.E92.A.788
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E92-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2009
AB - In this paper, a design method of two-dimensional (2-D) orthogonal symmetric wavelets is proposed by using a lattice structure for multi-dimensional (M-D) linear-phase paraunitary filter banks (LPPUFB), which the authors have proposed as a previous work and then modified by Lu Gan et al. The derivation process for the constraints on the second-order vanishing moments is shown and some design examples obtained through optimization with the constraints are exemplified. In order to verify the significance of the constraints, some experimental results are shown for Lena and Barbara image.
ER -
English
