Optimal Design of Complex Two-Channel IIR QMF Banks with Equiripple Response
Summary :
The optimal design of complex infinite impulse response (IIR) two-channel quadrature mirror filter (QMF) banks with equiripple frequency response is considered. The design problem is appropriately formulated to result in a simple optimization problem. Therefore, based on a variant of Karmarkar's algorithm, we can efficiently solve the optimization problem through a frequency sampling and iterative approximation method to find the complex coefficients for the IIR QMFs. The effectiveness of the proposed technique is to form an appropriate Chebyshev approximation of a desired response and then find its solution from a linear subspace in several iterations. Finally, simulation results are presented for illustration and comparison.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.8 pp.2143-2153
- Publication Date
- 2005/08/01
- Publicized
- Online ISSN
- DOI
- 10.1093/ietfec/e88-a.8.2143
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
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Ju-Hong LEE, Yuan-Hau YANG, "Optimal Design of Complex Two-Channel IIR QMF Banks with Equiripple Response" in IEICE TRANSACTIONS on Fundamentals,
vol. E88-A, no. 8, pp. 2143-2153, August 2005, doi: 10.1093/ietfec/e88-a.8.2143.
Abstract: The optimal design of complex infinite impulse response (IIR) two-channel quadrature mirror filter (QMF) banks with equiripple frequency response is considered. The design problem is appropriately formulated to result in a simple optimization problem. Therefore, based on a variant of Karmarkar's algorithm, we can efficiently solve the optimization problem through a frequency sampling and iterative approximation method to find the complex coefficients for the IIR QMFs. The effectiveness of the proposed technique is to form an appropriate Chebyshev approximation of a desired response and then find its solution from a linear subspace in several iterations. Finally, simulation results are presented for illustration and comparison.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.8.2143/_p
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@ARTICLE{e88-a_8_2143,
author={Ju-Hong LEE, Yuan-Hau YANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Optimal Design of Complex Two-Channel IIR QMF Banks with Equiripple Response},
year={2005},
volume={E88-A},
number={8},
pages={2143-2153},
abstract={The optimal design of complex infinite impulse response (IIR) two-channel quadrature mirror filter (QMF) banks with equiripple frequency response is considered. The design problem is appropriately formulated to result in a simple optimization problem. Therefore, based on a variant of Karmarkar's algorithm, we can efficiently solve the optimization problem through a frequency sampling and iterative approximation method to find the complex coefficients for the IIR QMFs. The effectiveness of the proposed technique is to form an appropriate Chebyshev approximation of a desired response and then find its solution from a linear subspace in several iterations. Finally, simulation results are presented for illustration and comparison.},
keywords={},
doi={10.1093/ietfec/e88-a.8.2143},
ISSN={},
month={August},}
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TY - JOUR
TI - Optimal Design of Complex Two-Channel IIR QMF Banks with Equiripple Response
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2143
EP - 2153
AU - Ju-Hong LEE
AU - Yuan-Hau YANG
PY - 2005
DO - 10.1093/ietfec/e88-a.8.2143
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2005
AB - The optimal design of complex infinite impulse response (IIR) two-channel quadrature mirror filter (QMF) banks with equiripple frequency response is considered. The design problem is appropriately formulated to result in a simple optimization problem. Therefore, based on a variant of Karmarkar's algorithm, we can efficiently solve the optimization problem through a frequency sampling and iterative approximation method to find the complex coefficients for the IIR QMFs. The effectiveness of the proposed technique is to form an appropriate Chebyshev approximation of a desired response and then find its solution from a linear subspace in several iterations. Finally, simulation results are presented for illustration and comparison.
ER -
English
