利用变量变换灵活设计多维完美重构 FIR 2 带滤波器。
Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformations of variables.
机构信息
Dept. of Eng., Cambridge Univ.
出版信息
IEEE Trans Image Process. 1993;2(4):466-80. doi: 10.1109/83.242356.
An approach to designing multidimensional linear-phase FIR diamond subband filters having the perfect reconstruction property is presented. It is based on a transformation of variables technique and is equivalent to the generalized McClellan transformation. Methods for designing a whole class of transformation are given. The approach consists of two parts; design of the transformation and design of the 1-D filters. The use of Lagrange halfband filters to design the 1-D filters is discussed. The modification of a particular Lagrange halfband filter which gives a pair of simple 1-D filters that are almost similar to each other in their frequency characteristics but still form a perfect reconstruction pair is presented. The design technique is extended to other types of two-channel sampling lattice and subband shapes, in particular, the parallelogram and the diagonally quadrant subband cases. Several numerical design examples are presented to illustrate the flexibility of the design method.
提出了一种设计具有完全重构特性的多维线性相位 FIR 菱形子带滤波器的方法。它基于变量变换技术，等效于广义 McClellan 变换。给出了一类变换的设计方法。该方法包括两部分：变换设计和一维滤波器设计。讨论了使用 Lagrange 半带滤波器来设计一维滤波器。提出了一种特殊的 Lagrange 半带滤波器的修改方法，该滤波器可以得到一对非常相似的一维滤波器，它们在频率特性上几乎相似，但仍然构成一个完美重构对。该设计技术已扩展到其他类型的双通道采样格和子带形状，特别是平行四边形和对角象限子带情况。给出了几个数值设计实例来说明设计方法的灵活性。
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