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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Main Author: Gabriel Thomas
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8672609/
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spelling 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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