In this paper analysis of impulsive response and stability conditions of first order linear parametric filters has been carried out. The parameters of these filters have been described by some non-periodic functions. The affiliation of models of LTV (linear time-varying) filters to class of frozen systems (system with slowly varying coefficients) has been shown. In this article the BIBO (bounded input bounded output) stability of LTV filters for strictly positive parametric function has been proved using the generalized eigenvalue method.
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