A systematic approach to the time-domain computation of the impulse response and post-initial conditions of causal LTI systems at the origin
AuthorTavşanoğlu, Ahmet Vedat
MetadataShow full item record
CitationTavşanoğlu, 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
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.
Source2015 IEEE International Symposium on Circuits and Systems (ISCAS)
Showing items related by title, author, creator and subject.
Dirençsel ızgara görüntü filtrelerinin fpga ile gerçekleştirilmeleri için jacobi yinelemesi yöntemi ile benzetimi Tavşanoğlu, Ahmet Vedat (IEEE, 2014-04-23)Dirençsel ızgara yapılarının uzamsal impuls yanıtlarının üstel olarak azalan biçimden oldukları ve Gauss filtresininkine benzer bir uzamsal frekans yanıtı verdikleri, dolaysıyla da alçak geçiren filtre olarak kullanıldıkları ...
Miramirkhani, Farshad (Istanbul Univ-Cerrahpasa, 2021-05)In the context of beyond 5G indoor communication systems, visible light communications (VLC) has emerged as a viable supplement for existing radio frequency based systems and as an enabler for high data rate communications. ...
Channel modeling and characterization for VLC-based medical body sensor networks: trends and challenges Optical Wireless Communication (OWC) refers to transmission in unguided propagation media through the use of optical carriers, i.e., visible, Infrared (IR), and Ultraviolet (UV) bands. In this paper, we focus on indoor ...