A systematic approach to the time-domain computation of the impulse response and post-initial conditions of causal LTI systems at the origin
Künye
Tavşanoğlu, A. V. (2015). A systematic approach to the time-domain computation of the impulse response and post-initial conditions of causal LTI systems at the origin. Paper presented at the 2015 IEEE International Symposium on Circuits and Systems (ISCAS), 1806-1809. doi:10.1109/ISCAS.2015.7169006Özet
This 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.
Kaynak
2015 IEEE International Symposium on Circuits and Systems (ISCAS)İlgili Öğeler
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