Analytical and Numerical Behavior of the Spectral Factorization

Conference: TURBO - CODING - 2006 - 4th International Symposium on Turbo Codes & Related Topics; 6th International ITG-Conference on Source and Channel Coding
04/03/2006 - 04/07/2006 at Munich, Germany

Proceedings: TURBO - CODING - 2006

Pages: 6Language: englishTyp: PDF

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Boche, Holger; Pohl, Volker (Technische Universität Berlin, Heinrich-Hertz-Lehrstuhl für Mobilkommunikation, Werner-von-Siemens-Bau (HFT6), Einsteinufer 25, 10587 Berlin, Germany)

This paper gives a detailed investigation of the properties of the spectral factorization mapping and of the Herglotz-Riesz transformation. It characterizes the set of all functions for which these operations are bounded and continuous. Consequences for the behavior of numerical algorithms for the calculation of the spectral factors are discussed and compared with the inner-outer factorization mapping.