A class of regular biorthogonal linear-phase filterbanks: theory, structure, and application in image coding
A class of regular biorthogonal linear-phase filterbanks: theory, structure, and application in image coding
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DOI：
10.1109/tsp.2003.818909
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发表时间：
2003-12
期刊：
影响因子：
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通讯作者：
S. Oraintara;T. Tran;Truong Q. Nguyen
中科院分区：
文献类型：
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作者：
S. Oraintara;T. Tran;Truong Q. Nguyen
本文讨论了一种利用格型结构对M波段双正交线性相位滤波器组进行正则化的方法。提出了一种提升结构的格矩阵参数化的正则性约束，可以施加。本文重点分析和合成滤波器组的情况下，有两个程度的规律性。定期滤波器组的滤波器的脉冲响应，频率响应，尺度函数，和小波的必要和充分条件被重新审视，并推导出的格矩阵。这也导致对最小滤波器长度的约束。所提出的设计实例是为了图像编码的目的而优化的，即，主要目标是编码增益和频率选择性。从图像编码应用的仿真结果也表明，这些变换产生的重建图像的感知质量的改善。该方法还被扩展到整数/有理提升系数的情况下，这是在许多实际应用中所希望的。
This paper discusses a method of regularity imposition onto biorthogonal linear-phase M-band filterbanks using the lattice structure. A lifting structure is proposed for lattice matrix parameterization where regularity constraints can be imposed. The paper focuses on cases with analysis and synthesis filterbanks having up to two degrees of regularity. Necessary and sufficient conditions for regular filterbanks in terms of the filter impulse response, frequency response, scaling function, and wavelets are revisited and are derived in terms of the lattice matrices. This also leads to a constraint on the minimum filter length. Presented design examples are optimized for the purpose of image coding, i.e., the main objectives are coding gain and frequency selectivity. Simulation results from an image coding application also show that these transforms yield improvement in the perceptual quality in the reconstruction images. The approach has also been extended to the case of integer/rational lifting coefficients, which are desirable in many practical applications.