Fraunhofer-Gesellschaft

Publica

Hier finden Sie wissenschaftliche Publikationen aus den Fraunhofer-Instituten.

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

 
: Boche, H.; Pohl, V.

:

IEEE transactions on signal processing 56 (2008), Nr.7, Part 2, S.3100-3107
ISSN: 0096-3518
ISSN: 0018-9278
ISSN: 0096-1620
ISSN: 1053-587X
Englisch
Zeitschriftenaufsatz
Fraunhofer HHI ()
polynomial; signal processing; spectral analysis; Wiener Filter

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.

: http://publica.fraunhofer.de/dokumente/N-76872.html