IEICE TRANSACTIONS on Fundamentals
A Design of Near Perfect Reconstruction Linear-Phase QMF Banks Based on Hybrid Steepest Descent Method
Summary :
In this paper, we propose a projection based design of near perfect reconstruction QMF banks. An advantage of this method is that additional design specifications are easily implemented by defining new convex sets. To apply convex projection technique, the main difficulty is how to approximate the design specifications by some closed convex sets. In this paper, introducing a notion of Magnitude Product Space where a pair of magnitude responses of analysis filters is expressed as a point, we approximate design requirements of QMF banks by multiple closed convex sets in this space. The proposed method iteratively applies a convex projection technique, Hybrid Steepest Descent Method, to find a point corresponding to the optimal analysis filters at each stage, where the closed convex sets are dynamically improved. Design examples show that the proposed design method leads to significant improvement over conventional design methods.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E83-A No.8 pp.1523-1530
- Publication Date
- 2000/08/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- Special Section PAPER (Special Section on Digital Signal Processing)
- Category
- Filter Banks
Authors
Keyword
Latest Issue
Copyrights notice of machine-translated contents
The copyright of the original papers published on this site belongs to IEICE. Unauthorized use of the original or translated papers is prohibited. See IEICE Provisions on Copyright for details.
Cite this
Copy
Hiroshi HASEGAWA, Isao YAMADA, Kohichi SAKANIWA, "A Design of Near Perfect Reconstruction Linear-Phase QMF Banks Based on Hybrid Steepest Descent Method" in IEICE TRANSACTIONS on Fundamentals,
vol. E83-A, no. 8, pp. 1523-1530, August 2000, doi: .
Abstract: In this paper, we propose a projection based design of near perfect reconstruction QMF banks. An advantage of this method is that additional design specifications are easily implemented by defining new convex sets. To apply convex projection technique, the main difficulty is how to approximate the design specifications by some closed convex sets. In this paper, introducing a notion of Magnitude Product Space where a pair of magnitude responses of analysis filters is expressed as a point, we approximate design requirements of QMF banks by multiple closed convex sets in this space. The proposed method iteratively applies a convex projection technique, Hybrid Steepest Descent Method, to find a point corresponding to the optimal analysis filters at each stage, where the closed convex sets are dynamically improved. Design examples show that the proposed design method leads to significant improvement over conventional design methods.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e83-a_8_1523/_p
Copy
@ARTICLE{e83-a_8_1523,
author={Hiroshi HASEGAWA, Isao YAMADA, Kohichi SAKANIWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Design of Near Perfect Reconstruction Linear-Phase QMF Banks Based on Hybrid Steepest Descent Method},
year={2000},
volume={E83-A},
number={8},
pages={1523-1530},
abstract={In this paper, we propose a projection based design of near perfect reconstruction QMF banks. An advantage of this method is that additional design specifications are easily implemented by defining new convex sets. To apply convex projection technique, the main difficulty is how to approximate the design specifications by some closed convex sets. In this paper, introducing a notion of Magnitude Product Space where a pair of magnitude responses of analysis filters is expressed as a point, we approximate design requirements of QMF banks by multiple closed convex sets in this space. The proposed method iteratively applies a convex projection technique, Hybrid Steepest Descent Method, to find a point corresponding to the optimal analysis filters at each stage, where the closed convex sets are dynamically improved. Design examples show that the proposed design method leads to significant improvement over conventional design methods.},
keywords={},
doi={},
ISSN={},
month={August},}
Copy
TY - JOUR
TI - A Design of Near Perfect Reconstruction Linear-Phase QMF Banks Based on Hybrid Steepest Descent Method
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1523
EP - 1530
AU - Hiroshi HASEGAWA
AU - Isao YAMADA
AU - Kohichi SAKANIWA
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E83-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2000
AB - In this paper, we propose a projection based design of near perfect reconstruction QMF banks. An advantage of this method is that additional design specifications are easily implemented by defining new convex sets. To apply convex projection technique, the main difficulty is how to approximate the design specifications by some closed convex sets. In this paper, introducing a notion of Magnitude Product Space where a pair of magnitude responses of analysis filters is expressed as a point, we approximate design requirements of QMF banks by multiple closed convex sets in this space. The proposed method iteratively applies a convex projection technique, Hybrid Steepest Descent Method, to find a point corresponding to the optimal analysis filters at each stage, where the closed convex sets are dynamically improved. Design examples show that the proposed design method leads to significant improvement over conventional design methods.
ER -
English
