Lattice Structure for Regular Linear Phase Paraunitary Filter Bank With Odd Decimation Factor
Lattice Structure for Regular Linear Phase Paraunitary Filter Bank With Odd Decimation Factor
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DOI：
10.1109/lsp.2013.2285435
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发表时间：
2014
影响因子：
3.9
通讯作者：
Bodong Li;Xieping Gao
中科院分区：
文献类型：
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作者：
Bodong Li;Xieping Gao
具有规则特性的线性相位并酉滤波器组（LPPUFB），即规则LPPUFB（RLPPUFB），可以通过晶格结构进行有效设计。这种滤波器组设计的关键是根据LPPUFB的晶格结构制定易于处理的正则条件，并且已经发表了均匀抽取因子情况的解决方案。在这封信中，提出了一种设计具有奇数抽取因子的 RLPPUFB 的方法。首先，LPPUFB晶格结构中的一小部分自由参数被丢弃。然后，将格子结构等价地转换为一种新的格子结构，可以很容易地获得易于处理的正则条件。与丢弃大约一半自由参数的简单方法相比，所提出的方法仅丢弃一小部分自由参数，因此可以产生更好的 RLPPUFB。
Linear phase paraunitary filter bank (LPPUFB) with regular property, i.e. regular LPPUFB (RLPPUFB), can be efficiently designed via lattice structure. The key to the design of such filter bank is to formulate an easy-to-handle regular condition in terms of the lattice structure of LPPUFB, and the solution for the case with even decimation factor has been published. In this letter, a method is proposed to design RLPPUFB with odd decimation factor. First, small part of the free parameters in the lattice structure of LPPUFB is discarded. Then, the lattice structure is equivalently converted to a new one for which the easy-to-handle regular condition can be easily obtained. In contrast to a simple method that discards about a half of the free parameters, the proposed method only discards small part of the free parameters and it therefore can produce better RLPPUFBs.