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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Bibliographic Details
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
Description
Summary: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.
ISSN:2066-4273
2066-3129