Abstract
We consider the problem of reconstruction of input signals u from output signals of time-varying filters of the form under the assumption that ∑ j∈ℤ ‖a j ‖∞ < ∞. 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.
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