Reconstruction of input signals in time-varying filters

被引：2
作者：
Rabinovich, V. S.
Roch, S.
机构：
[1] Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany
[2] Inst Politech Natl, ESIME Zacatenco, Mexico City, DF, Mexico
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2006年 / 27卷 / 5-6期
关键词：
finite sections method; limit operators; pseudodifference operators; signal reconstruction; time-variant filters;
D O I：
10.1080/01630560600791064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem of reconstruction of input signals u from output signals of time-varying filters of the form [GRAPHICS] under the assumption that Sigma(j is an element of Z)parallel to a(j)parallel to infinity < 8. The proposed algorithm of reconstruction of signals is based on the theory of banddominated and pseudodifference operators as presented in the recent monograph of Rabinovich et al. (2004) and on the finite sections method. The following classes of filters are considered this paper: slowly time-varying filters, perturbations of periodic time-varying filters, causal time-varying filters, and finite filters acting on signals with a finite number of values.
引用
收藏
页码：697 / 720
页数：24
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