About Converting a Set into a Minimum-Phase Sequence

In this paper we discuss whether a given finite set ofcomplex numbers can be ordered such that the derived sequenceis minimum-phase. Knowing that every sequence can be extendedto a minimum-phase sequence, we conclude that a setcan always be converted to a minimum-phase sequence using anadditional sa...

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Main Authors: Jaakko Astola, Corneliu Rusu
Format: Article
Language:English
Published: Stefan cel Mare University of Suceava 2009-01-01
Series:Journal of Applied Computer Science & Mathematics
Subjects:
Online Access:http://www.jacs.usv.ro/getpdf.php?issue=5&paperid=57
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spelling doaj-0a6a9db1bb534aa585b167eca82484472020-11-24T22:44:25ZengStefan cel Mare University of SuceavaJournal of Applied Computer Science & Mathematics2066-42732066-31292009-01-01354856About Converting a Set into a Minimum-Phase SequenceJaakko AstolaCorneliu RusuIn this paper we discuss whether a given finite set ofcomplex numbers can be ordered such that the derived sequenceis minimum-phase. Knowing that every sequence can be extendedto a minimum-phase sequence, we conclude that a setcan always be converted to a minimum-phase sequence using anadditional sample. We characterize several types of sets that canbe ordered in minimum-phase sequences with no additionalsample. These sets do not span the sets of all real or complexsequences of finite length.http://www.jacs.usv.ro/getpdf.php?issue=5&paperid=57signal reconstructionSchur transform
collection DOAJ
language English
format Article
sources DOAJ
author Jaakko Astola
Corneliu Rusu
spellingShingle Jaakko Astola
Corneliu Rusu
About Converting a Set into a Minimum-Phase Sequence
Journal of Applied Computer Science & Mathematics
signal reconstruction
Schur transform
author_facet Jaakko Astola
Corneliu Rusu
author_sort Jaakko Astola
title About Converting a Set into a Minimum-Phase Sequence
title_short About Converting a Set into a Minimum-Phase Sequence
title_full About Converting a Set into a Minimum-Phase Sequence
title_fullStr About Converting a Set into a Minimum-Phase Sequence
title_full_unstemmed About Converting a Set into a Minimum-Phase Sequence
title_sort about converting a set into a minimum-phase sequence
publisher Stefan cel Mare University of Suceava
series Journal of Applied Computer Science & Mathematics
issn 2066-4273
2066-3129
publishDate 2009-01-01
description In this paper we discuss whether a given finite set ofcomplex numbers can be ordered such that the derived sequenceis minimum-phase. Knowing that every sequence can be extendedto a minimum-phase sequence, we conclude that a setcan always be converted to a minimum-phase sequence using anadditional sample. We characterize several types of sets that canbe ordered in minimum-phase sequences with no additionalsample. These sets do not span the sets of all real or complexsequences of finite length.
topic signal reconstruction
Schur transform
url http://www.jacs.usv.ro/getpdf.php?issue=5&paperid=57
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