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A design method of multidimensional linear-phase paraunitary filter banks with a lattice structure

机译:具有晶格结构的多维线性相位垂置滤波器的设计方法

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A lattice structure of multidimensional (MD) linear-phase paraunitary filter banks (LPPUFBs) is proposed, which makes it possible to design such filter banks in a systematic manner. The proposed structure can produce MD-LPPUFBs whose filters all have the region of support /spl Nscr/(M/spl Xi/), where M and /spl Xi/ are the decimation and an integer diagonal matrices, respectively, and /spl Nscr/ (/spl Nscr/) is the set of integer vectors in the fundamental parallelpiped of N. Since our proposed system structurally restricts both the paraunitary and linear-phase properties, an unconstrained optimization process can be used to design MD-LPPUFBs. Some design examples are included to show the significance.
机译:提出了多维(MD)线性相位杠杆式滤波器组(LPPUFB)的晶格结构,这使得可以以系统的方式设计这种过滤器组。所提出的结构可以产生MD-LPPUFB,其过滤器都具有支持/ SPL NSCR /(M / SPL XI /)区域,其中M和/ SPL XI /是分别抽取和整数对角线矩阵,以及/ SPL NSCR /(/ SPL NSCR /)是在N的基本平行波中的整数矢量集合。由于我们所提出的系统在结构上限制了垂直和线性相位特性,因此可以使用无约束的优化过程来设计MD-LPPUFB。包括一些设计示例以显示出意义。

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