Frequency detection using Pade approximation

The current paper describes an application of Pade approximation to obtain a frequency detection method similar to (and, in a sense, more general than) linear prediction. While generally not applicable for spectrum estimation, the described method is in many cases more precise in finding the freque...

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Main Authors: Artur Barkhudaryan, Sergey Mkrtchyan
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2008-07-01
Series:Armenian Journal of Mathematics
Online Access:http://test.armjmath.sci.am/index.php/ajm/article/view/19
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spelling doaj-d36338c27bf848ca932d51c0b0600d592020-11-25T00:15:20ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632008-07-0111Frequency detection using Pade approximationArtur Barkhudaryan0Sergey Mkrtchyan1Institute of Mathematics of NAS RA, Bagramian ave. 24B, 0019 Yerevan, ArmeniaInstitute of Mathematics of NAS RA, Bagramian ave. 24B, 0019 Yerevan, Armenia The current paper describes an application of Pade approximation to obtain a frequency detection method similar to (and, in a sense, more general than) linear prediction. While generally not applicable for spectrum estimation, the described method is in many cases more precise in finding the frequencies of a harmonic signal. A great number of numerical tests were performed for comparing frequency detection performance of the method under consideration and of linear prediction. Their methodology and results are summarized in the article. http://test.armjmath.sci.am/index.php/ajm/article/view/19
collection DOAJ
language English
format Article
sources DOAJ
author Artur Barkhudaryan
Sergey Mkrtchyan
spellingShingle Artur Barkhudaryan
Sergey Mkrtchyan
Frequency detection using Pade approximation
Armenian Journal of Mathematics
author_facet Artur Barkhudaryan
Sergey Mkrtchyan
author_sort Artur Barkhudaryan
title Frequency detection using Pade approximation
title_short Frequency detection using Pade approximation
title_full Frequency detection using Pade approximation
title_fullStr Frequency detection using Pade approximation
title_full_unstemmed Frequency detection using Pade approximation
title_sort frequency detection using pade approximation
publisher Republic of Armenia National Academy of Sciences
series Armenian Journal of Mathematics
issn 1829-1163
publishDate 2008-07-01
description The current paper describes an application of Pade approximation to obtain a frequency detection method similar to (and, in a sense, more general than) linear prediction. While generally not applicable for spectrum estimation, the described method is in many cases more precise in finding the frequencies of a harmonic signal. A great number of numerical tests were performed for comparing frequency detection performance of the method under consideration and of linear prediction. Their methodology and results are summarized in the article.
url http://test.armjmath.sci.am/index.php/ajm/article/view/19
work_keys_str_mv AT arturbarkhudaryan frequencydetectionusingpadeapproximation
AT sergeymkrtchyan frequencydetectionusingpadeapproximation
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