Impulse Responses of Generalized First Order LTV Sections

Archives of Electrical Engineering

“…Articles [3,19,29,30] have revealed benefits of the application of the LTV systems with a parametric function waveform, which is exponential. Due to this fact, function R(t) is expected to be:…”

“…There are some papers e.g. [3], related to the time domain analysis of the LTV systems, which show that the non-periodic function describing parameter variability can be represented by a generalized Fourier series with an exponential basis.…”

“…Details concerning the analysis of the parametric first order differential equation can be found in previous publications, e.g. [1,3]. Examples of waveforms of the L(t) function are presented in 0.…”

“…One can treat those systems as a direct generalization of time-invariant systems. The benefit of their application is the reduction of a transient state and improving the dynamic properties of the systems [1][2][3].…”

Comparison of unit-step responses of parametric filter and fractional-order filter

“…In particular, LTV systems can be applied in signal processing especially in amplifiers [1], sampling systems, signal filtering and noise reduction [3] as well as current compensation in power networks [4], medicine devices [5] and many others. The parametric systems are described by the differential equations with time-varying parameters [6]. There are some methods of LTV system analysis based on transformation of some differential equations e.g.…”