Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformations of variables
Flexible design of multidimensional perfect reconstruction FIR 2-band filters using transformations of variables
复制标题
DOI：
10.1109/83.242356
复制
发表时间：
1993-10
期刊：
影响因子：
--
通讯作者：
D. Tay;N. Kingsbury
中科院分区：
文献类型：
--
作者：
D. Tay;N. Kingsbury
提出了一种具有理想重构特性的多维线性相位FIR菱形子带滤波器的设计方法。它基于变量变换技术，等价于广义McClellan变换。给出了一类变换的设计方法。该方法包括两个部分：设计的转换和设计的1-D滤波器。讨论了利用拉格朗日半带滤波器设计一维滤波器的方法。一个特定的拉格朗日半带滤波器，它给出了一对简单的1-D滤波器，几乎彼此相似的频率特性，但仍然形成一个完美的重建对的修改。该设计技术被扩展到其他类型的双通道采样晶格和子带形状，特别是，双通道和对角象限子带的情况下。数值设计实例说明了设计方法的灵活性。
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.