多维2通道PR滤波器组

Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136) Pub Date : 1997-11-02 DOI:10.1109/ACSSC.1997.679108

S. Oraintara, T.Q. Nguyen

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引用次数: 7

摘要

提出了多维双通道完全重构滤波器组的一般概念。该框架首先在M-D中构造一个可分解的半带函数，然后使用光谱分解来获得子带滤波器。通过从1-D到M-D的变量变换，可以很容易地得到混叠频率处的零个数。讨论了可能的通带形状。提出了M-D中2通道PR滤波器组的一种新条件，该条件显著减少了可能通带形状的选择。最后，提出了两个可能通带之间的频率映射。给出了映射保持PR条件的充分必要条件。

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Multidimensional 2-channel PR filter banks

General concept of multidimensional (M-D) two-channel perfect reconstruction (PR) filter banks is presented. The framework starts by constructing a factorizable halfband function in M-D and, subsequently, uses spectral factorization to obtain the subband filters. The number of zeros at the aliasing frequency can be obtained easily by using variable transformation from 1-D to M-D. The possible passband shape is discussed. A novel condition for 2-channel PR filter banks in M-D is presented by which the choices of possible passband shapes are significantly reduced. Finally, a frequency mapping between two possible passbands is proposed. A necessary and sufficient condition for the mapping to preserve the PR condition is presented.

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Conference Record of the Thirty-First Asilomar Conference on Signals, Systems and Computers (Cat. No.97CB36136)

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