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

: Boche, H.; Pohl, V.


IEEE transactions on signal processing 56 (2008), No.7, Part 2, pp.3100-3107
ISSN: 0096-3518
ISSN: 0018-9278
ISSN: 0096-1620
ISSN: 1053-587X
Journal Article
Fraunhofer HHI ()
polynomial; signal processing; spectral analysis; Wiener Filter

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.