Revised linear convolution

Revised linear convolution

It is assumed that linear time-invariant (LTI) system input signal samples are updated by a sensor in real time. It is urgent for every new input sample or for small part of new samples to update an ordinary convolution as well. The idea is that well-known convolution sum algorithm, used to calcula...

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Main Author: Rimantas Pupeikis
Format: Article
Language:English
Published: Vilnius University Press 2019-11-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
LTI system
convolution sum
signal
impulse response
Online Access:https://www.journals.vu.lt/LMR/article/view/14959
id doaj-33b27ab7b5e14f20a89b2399968ebce3
record_format Article
spelling doaj-33b27ab7b5e14f20a89b2399968ebce32020-11-25T00:37:01ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2019-11-0160A10.15388/LMR.A.2019.14959Revised linear convolutionRimantas Pupeikis0Vilnius University It is assumed that linear time-invariant (LTI) system input signal samples are updated by a sensor in real time. It is urgent for every new input sample or for small part of new samples to update an ordinary convolution as well. The idea is that well-known convolution sum algorithm, used to calculate output signal, should not be recalculated with every new input sample. It is necessary just to modify the algorithm, when the new input sample renew the set of previous samples. Approaches in time and frequency domains are analyzed. An example of computation of the convolution in time area is presented.   https://www.journals.vu.lt/LMR/article/view/14959LTI systemconvolution sumsignalimpulse response
collection DOAJ
language English
format Article
sources DOAJ
author Rimantas Pupeikis
spellingShingle Rimantas Pupeikis
Revised linear convolution
Lietuvos Matematikos Rinkinys
LTI system
convolution sum
signal
impulse response
author_facet Rimantas Pupeikis
author_sort Rimantas Pupeikis
title Revised linear convolution
title_short Revised linear convolution
title_full Revised linear convolution
title_fullStr Revised linear convolution
title_full_unstemmed Revised linear convolution
title_sort revised linear convolution
publisher Vilnius University Press
series Lietuvos Matematikos Rinkinys
issn 0132-2818
2335-898X
publishDate 2019-11-01
description It is assumed that linear time-invariant (LTI) system input signal samples are updated by a sensor in real time. It is urgent for every new input sample or for small part of new samples to update an ordinary convolution as well. The idea is that well-known convolution sum algorithm, used to calculate output signal, should not be recalculated with every new input sample. It is necessary just to modify the algorithm, when the new input sample renew the set of previous samples. Approaches in time and frequency domains are analyzed. An example of computation of the convolution in time area is presented.  
topic LTI system
convolution sum
signal
impulse response
url https://www.journals.vu.lt/LMR/article/view/14959
work_keys_str_mv AT rimantaspupeikis revisedlinearconvolution
_version_ 1725302896736600064

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