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Hier finden Sie wissenschaftliche Publikationen aus den FraunhoferInstituten. Spectral factorization for polynomial spectral densities  impact of dimension
 IEEE transactions on information theory 53 (2007), No.11, pp.42364241 ISSN: 00189448 

 English 
 Journal Article 
 Fraunhofer HHI () 
Abstract
This correspondence investigates the continuity behavior of the spectral factorization mapping for trigonometric polynomials. It is clear that this factorization mapping is continuous on the space of all trigonometric polynomials of a fixed degree N which means that a small perturbation in the given spectrum yields always a bounded error in the spectral factor. The correspondence derives a lower bound on the continuity constant of the spectral factorization mapping which shows that the error in the spectral factor grows at least proportional with the logarithm of the degree N of the given spectrum.