A new approach to the design of QMF banks

New L/sub 2/ 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...

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Bibliographic Details
Main Authors: Min-Chi Kao, Sau-Gee Chen
Format: Conference Proceeding
Language:English
Subjects:
Attenuation
Baseband
Design engineering
Design methodology
Finite impulse response filter
Frequency modulation
Iterative algorithms
Nonlinear equations
Optimization methods
Prototypes
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Summary:New L/sub 2/ 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.
DOI:10.1109/ISCAS.1998.694428