Complex, linear-phase filters for efficient image coding
Complex, linear-phase filters for efficient image coding
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DOI：
10.1109/78.469843
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发表时间：
1995-10
期刊：
影响因子：
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通讯作者：
B. Belzer;J. Lina;J. Villasenor
中科院分区：
文献类型：
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作者：
B. Belzer;J. Lina;J. Villasenor
除 Haar 基外，具有紧支持的实值正交小波滤波器组缺乏对称性，因此不具有线性相位。这导致使用双正交滤波器对图像和其他多维数据进行编码。然而，有一些复杂的解决方案允许构建紧凑支撑的正交线性相位 QMF 滤波器组。通过明确地寻求滤波器系数的虚部足够小以接近于零的解，可以获得实现优异压缩性能的实对称滤波器。 >
With the exception of the Haar basis, real-valued orthogonal wavelet filter banks with compact support lack symmetry and therefore do not possess linear phase. This has led to the use of biorthogonal filters for coding of images and other multidimensional data. There are, however, complex solutions permitting the construction of compactly supported, orthogonal linear phase QMF filter banks. By explicitly seeking solutions in which the imaginary part of the filter coefficients is small enough to be approximated to zero, real symmetric filters can be obtained that achieve excellent compression performance. >