A method to initialize free parameters in lattice structure of arbitrary-length linear phase perfect reconstruction filter bank

A method to initialize free parameters in lattice structure of arbitrary-length linear phase perfect reconstruction filter bank
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任意长度线性相位完美重构滤波器组点阵结构自由参数初始化方法

DOI:
10.1016/j.sigpro.2014.08.016
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发表时间:
2015
期刊:
影响因子:
4.4
通讯作者:
Xieping Gao
Xieping Gao
中科院分区:
工程技术2区
文献类型:
--
作者:
Bodong Li;Xieping Gao

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线性相位完全重构滤波器组(LPPRFB)格型结构中自由参数的优化通常是高度非线性的,因此自由参数的初始化必须谨慎。这种方法已经被公布用于约束长度LPPRFB(CLLPPRFB),即具有滤波器长度MK的LPPRFB,其中M是抽取因子,K是整数。与CLLPPRFB相比,任意长度LPPRFB(ALLPPRFB)[即滤波器长度为MK+ β的LPPRFB,其中β是0到M之间的整数]提供了更多的滤波器组选择,在滤波器长度和滤波器性能之间提供了更好的权衡。然而,据我们所知,有没有系统的研究,在ALLPPRFB的晶格结构中的自由参数的初始化,所需的方法不能很容易地从CLLPPRFB推广。为了解决这个问题,本文将描述一种初始化方法,该方法将较长的ALLPPRFB替换为较短的ALLPPRFB,并且较长滤波器组和较短滤波器组之间的长度差可以是ALLPPRFB系统允许的任何数字。设计实例和图像压缩实验表明了该方法的有效性。
The optimization of the free parameters in the lattice structure of linear phase perfect reconstruction filter bank (LPPRFB) is commonly highly nonlinear, therefore the free parameters should be carefully initialized. Such methods have been published for constrained-length LPPRFB (CLLPPRFB), ie LPPRFB with filter length MK, where M is the decimation factor and K is an integer. In contrast to CLLPPRFB, arbitrary-length LPPRFB (ALLPPRFB)[ie LPPRFB with filter length MK+ β, where β is an integer between 0 and M] provides more choices of filter banks, offering better trade-off between filter length and filter performance. Nevertheless, as far as we know there is no systematic study on initializing the free parameters in the lattice structure of ALLPPRFB, and the required method cannot be easily generalized from those for CLLPPRFB. To address this issue, an initialization method will be described in this paper that initializes a longer ALLPPRFB by a shorter one, and the length difference between the longer and the shorter filter banks can be any number allowed by an ALLPPRFB system. The efficiency of the proposed method will be shown by design examples and image compression experiments.
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