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Group Lifting Structures for Multirate Filter Banks II: Linear Phase Filter Banks

机译:多速率滤波器组的组提升结构II:线性相位滤波器组

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The theory of group lifting structures is applied to linear phase lifting factorizations for the two nontrivial classes of two-channel linear phase perfect reconstruction filter banks, the whole- and half-sample symmetric classes. Group lifting structures defined for the reversible and irreversible classes of whole- and half-sample symmetric filter banks are shown to satisfy the hypotheses of the uniqueness theorem for group lifting structures. It follows that linear phase group lifting factorizations of whole- and half-sample symmetric filter banks are therefore independent of the factorization methods used to construct them. These results cover the specification of whole-sample symmetric filter banks in the ISO/IEC JPEG 2000 image coding standard.
机译:组提升结构的理论适用于两个非平凡的两通道线性相位完美重构滤波器组的线性相位提升分解,全样本和半样本对称类别。为全样本和半样本对称滤波器组的可逆和不可逆类定义的群提升结构显示为满足群提升结构唯一性定理的假设。因此,整个和半采样对称滤波器组的线性相位组提升分解都与构造它们的分解方法无关。这些结果涵盖了ISO / IEC JPEG 2000图像编码标准中的整个样本对称滤波器组的规范。

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