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  4. Boundedness behavior of the spectral factorization for polynomial data in the Wiener algebra
 
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2008
Journal Article
Title

Boundedness behavior of the spectral factorization for polynomial data in the Wiener algebra

Abstract
Spectral factorization is of fundamental importance in many areas of signal processing. This paper investigates the boundedness; behavior of the spectral factorization mapping in the Wiener algebra. Thereby, the focus lies on the factorization of polynomial spectral densities with a finite degree N since such spectra are especially important for practical applications. The paper presents a lower and an upper bound on the boundedness behavior which will show that the boundedness constant of the spectral factorization mapping gets worse as the degree N of the spectra increases. Therewith, one obtains independently the known result that the spectral factorization mapping is unbounded on the Wiener algebra.
Author(s)
Boche, H.
Pohl, V.
Journal
IEEE transactions on signal processing  
DOI
10.1109/TSP.2008.917422
Language
English
Fraunhofer-Institut für Nachrichtentechnik, Heinrich-Hertz-Institut HHI  
Keyword(s)
  • polynomial

  • signal processing

  • spectral analysis

  • Wiener Filter

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