Some properties of lattice autoregressive filters
Some properties of lattice autoregressive filters
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格子自回归滤波器的一些性质
DOI：
10.1109/tassp.1986.1164816
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发表时间：
1986
期刊：
影响因子：
--
通讯作者：
M. Benidir
中科院分区：
文献类型：
--
作者：
B. Picinbono;M. Benidir
自回归滤波器由回归向量的分量或出现在其格子表示中的反射系数定义。回归向量关于反射系数的数学表达式非常复杂，但许多结构性质可以在没有这个精确表达式的情况下获得。本文给出了这类结构性质的一些例子，并利用这些结果证明了稳定滤子的一些极值性质，如回归向量分量的最大值或其范数的最大值。此外，还讨论了稳定域边界的一些性质。
An autoregressive filter is defined either by the components of the regression vector or by the reflection coefficients appearing in its lattice representation. The mathematical expression of the regression vector in terms of the reflection coefficients is very complex but many structural properties can be obtained without this exact expression. In this paper, we present some examples of such structural properties, and we apply these results to prove some extremal properties of stable filters such as the maximum value of the components of the regression vector or the maximum value of its norm. Moreover, some properties of the boundary of the stability domain are discussed.