A systematic approach to the time-domain computation of the impulse response and post-initial conditions of causal LTI systems at the origin
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Dosyalar
Tarih
2015
Yazarlar
Dergi Başlığı
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Yayıncı
IEEE
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Impulse response, Initial conditions, Linear circuit and system theory, Transfer functions, Mathematical model, Linear systems, Systematics, Time-domain analysis, Education, Differential equations, Linear systems, Transient response, Time-domain computation, Impulse response teaching, Systematic approach, N th-order causal SISO LTI system differential equation, N-1 derivatives, Unit impulse input, Singularity functions, Stepwise discontinuity term, N post-initial conditions, Impulse response, Initial conditions, Linear circuit and system theory
Kaynak
2015 IEEE International Symposium on Circuits and Systems (ISCAS)
WoS Q Değeri
N/A
Scopus Q Değeri
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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.2015.7169006
