New approach to the design of QMF banks

Min Chi Kao; Sau-Gee Chen

doi:10.1109/ISCAS.1998.694428

New approach to the design of QMF banks

Min Chi Kao^*, Sau-Gee Chen

^*Corresponding author for this work

Department of Electronics Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

New L₂ objective functions for the design of quadrature-mirror-filter (QMF) banks are proposed. They are based on the derivative information of the reconstruction error. Simple and explicit matrix-form expressions for the proposed objective functions are derived. An efficient design method is proposed by incorporating a separability technique into the derived optimality conditions on prototype filters. The proposed method only needs to solve linear equations iteratively without nonlinear optimization. Design examples demonstrate that good low-delay QMF banks and linear-phase QMF banks can be obtained after a few iterations. Compared to the conventional approach, the new approach leads to QMF banks with larger stopband attenuation and smaller reconstruction errors.

Original language	American English
Journal	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	5
DOIs	https://doi.org/10.1109/ISCAS.1998.694428
State	Published - 31 May 1998
Event	Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, ISCAS. Part 5 (of 6) - Monterey, CA, USA Duration: 31 May 1998 → 3 Jun 1998

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title = "New approach to the design of QMF banks",

abstract = "New L2 objective functions for the design of quadrature-mirror-filter (QMF) banks are proposed. They are based on the derivative information of the reconstruction error. Simple and explicit matrix-form expressions for the proposed objective functions are derived. An efficient design method is proposed by incorporating a separability technique into the derived optimality conditions on prototype filters. The proposed method only needs to solve linear equations iteratively without nonlinear optimization. Design examples demonstrate that good low-delay QMF banks and linear-phase QMF banks can be obtained after a few iterations. Compared to the conventional approach, the new approach leads to QMF banks with larger stopband attenuation and smaller reconstruction errors.",

author = "Kao, {Min Chi} and Sau-Gee Chen",

year = "1998",

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AU - Kao, Min Chi

AU - Chen, Sau-Gee

PY - 1998/5/31

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N2 - New L2 objective functions for the design of quadrature-mirror-filter (QMF) banks are proposed. They are based on the derivative information of the reconstruction error. Simple and explicit matrix-form expressions for the proposed objective functions are derived. An efficient design method is proposed by incorporating a separability technique into the derived optimality conditions on prototype filters. The proposed method only needs to solve linear equations iteratively without nonlinear optimization. Design examples demonstrate that good low-delay QMF banks and linear-phase QMF banks can be obtained after a few iterations. Compared to the conventional approach, the new approach leads to QMF banks with larger stopband attenuation and smaller reconstruction errors.

AB - New L2 objective functions for the design of quadrature-mirror-filter (QMF) banks are proposed. They are based on the derivative information of the reconstruction error. Simple and explicit matrix-form expressions for the proposed objective functions are derived. An efficient design method is proposed by incorporating a separability technique into the derived optimality conditions on prototype filters. The proposed method only needs to solve linear equations iteratively without nonlinear optimization. Design examples demonstrate that good low-delay QMF banks and linear-phase QMF banks can be obtained after a few iterations. Compared to the conventional approach, the new approach leads to QMF banks with larger stopband attenuation and smaller reconstruction errors.

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U2 - 10.1109/ISCAS.1998.694428

DO - 10.1109/ISCAS.1998.694428

M3 - Conference article

AN - SCOPUS:0031633906

VL - 5

JO - Proceedings - IEEE International Symposium on Circuits and Systems

JF - Proceedings - IEEE International Symposium on Circuits and Systems

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T2 - Proceedings of the 1998 IEEE International Symposium on Circuits and Systems, ISCAS. Part 5 (of 6)

Y2 - 31 May 1998 through 3 June 1998

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New approach to the design of QMF banks

Abstract

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