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Yayın A systematic approach to the time-domain computation of the impulse response and post-initial conditions of causal LTI systems at the origin(IEEE, 2015) Tavşanoğlu, Ahmet VedatThis paper presents a systematic approach to the computation of the impulse response in the time domain at the origin and post-initial conditions of an N-th-order causal SISO LTI system differential equation. It is shown that the solution and its N-1 derivatives of such a differential equation with a unit impulse input in the time interval 0(-) <= t <= 0(+) are singularity functions, each containing one stepwise discontinuity term whose magnitude is one of the N post-initial conditions of the differential equation for t >= 0(+). The approach presented is envisaged to provide a simplified tool not only for the computation but also for the teaching of the impulse response.Yayın An analysis of the mortgage account as a discrete-time LTI system(IEEE, 2014) Tavşanoğlu, Ahmet VedatThis paper presents a comprehensive mathematical analysis of the mortgage account with the aim of intentionally setting up a non-physical example for the teaching of discrete-time LTI systems in the courses signals and systems, digital signal processing and system theory.
