On the Solution of the Impulse Response of a Discrete System
Determination of the impulse response of a system is crucial in many areas of engineering applications. In this paper, a simple and general method to introduce this solution is presented where the orders of the difference equation are equal at the input and output parts as well as for the case where...
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doaj-09d068d19c22457281a68095f7a57c602021-03-29T22:22:08ZengIEEEIEEE Access2169-35362019-01-017354803548610.1109/ACCESS.2019.29049138672609On the Solution of the Impulse Response of a Discrete SystemGabriel Thomas0https://orcid.org/0000-0001-7134-4343Electrical and Computer Engineering Department, University of Manitoba, Winnipeg, CanadaDetermination of the impulse response of a system is crucial in many areas of engineering applications. In this paper, a simple and general method to introduce this solution is presented where the orders of the difference equation are equal at the input and output parts as well as for the case where the input order M is greater than that of the output N, which is usually a case that is not covered in textbooks. An experiment from a second-order system is presented in which a band stop filter is analyzed with the method presented here for the case of M = N. Other cases that involve digital filters for M > N are also presented.https://ieeexplore.ieee.org/document/8672609/Analysis of a band stop filterclassical solution of a difference equationimpulse response |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Gabriel Thomas |
spellingShingle |
Gabriel Thomas On the Solution of the Impulse Response of a Discrete System IEEE Access Analysis of a band stop filter classical solution of a difference equation impulse response |
author_facet |
Gabriel Thomas |
author_sort |
Gabriel Thomas |
title |
On the Solution of the Impulse Response of a Discrete System |
title_short |
On the Solution of the Impulse Response of a Discrete System |
title_full |
On the Solution of the Impulse Response of a Discrete System |
title_fullStr |
On the Solution of the Impulse Response of a Discrete System |
title_full_unstemmed |
On the Solution of the Impulse Response of a Discrete System |
title_sort |
on the solution of the impulse response of a discrete system |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2019-01-01 |
description |
Determination of the impulse response of a system is crucial in many areas of engineering applications. In this paper, a simple and general method to introduce this solution is presented where the orders of the difference equation are equal at the input and output parts as well as for the case where the input order M is greater than that of the output N, which is usually a case that is not covered in textbooks. An experiment from a second-order system is presented in which a band stop filter is analyzed with the method presented here for the case of M = N. Other cases that involve digital filters for M > N are also presented. |
topic |
Analysis of a band stop filter classical solution of a difference equation impulse response |
url |
https://ieeexplore.ieee.org/document/8672609/ |
work_keys_str_mv |
AT gabrielthomas onthesolutionoftheimpulseresponseofadiscretesystem |
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