TY - GEN
T1 - Robustness of the Spectral Factorization for Polynomials
AU - Boche, Holger
AU - Pohl, Volker
PY - 2008
Y1 - 2008
N2 - Spectral factorization is a key method in many different applications, and it is known that it is bounded but discontinuous with respect to the supremum norm. This paper considers the spectral factorization for polynomial spectra, since they are related to finite impulse response systems, and therefore especially important in practical applications. For such spectra, the spectral factorization is continuous, but the continuity behavior will depend strongly on the degree of the spectra. The paper will show that the continuity behavior deteriorates proportional with the logarithm of the degree of the spectra.
AB - Spectral factorization is a key method in many different applications, and it is known that it is bounded but discontinuous with respect to the supremum norm. This paper considers the spectral factorization for polynomial spectra, since they are related to finite impulse response systems, and therefore especially important in practical applications. For such spectra, the spectral factorization is continuous, but the continuity behavior will depend strongly on the degree of the spectra. The paper will show that the continuity behavior deteriorates proportional with the logarithm of the degree of the spectra.
UR - http://www.scopus.com/inward/record.url?scp=85006724617&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:85006724617
T3 - 7th International ITG Conference on Source and Channel Coding, SCC 2008
BT - 7th International ITG Conference on Source and Channel Coding, SCC 2008
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 7th International ITG Conference on Source and Channel Coding, SCC 2008
Y2 - 14 January 2008 through 16 January 2008
ER -