TY - GEN
T1 - Characterization of the behavior of outer functions with applications to spectral factorization and system design
AU - Boche, Holger
AU - Pohl, Volker
PY - 2006
Y1 - 2006
N2 - The outer factorization is the key operation in spectral factorization and in the determination of filters with minimal phase and given amplitude response. This paper investigates the continuity behavior of the outer factorization mapping and it gives a characterization of all outer functions which belong to the same smoothness class as the corresponding data. In general, the outer factorization yields a certain loss in smoothness, which has an impact on the approximation behavior of the spectral factors and desired filters, respectively.
AB - The outer factorization is the key operation in spectral factorization and in the determination of filters with minimal phase and given amplitude response. This paper investigates the continuity behavior of the outer factorization mapping and it gives a characterization of all outer functions which belong to the same smoothness class as the corresponding data. In general, the outer factorization yields a certain loss in smoothness, which has an impact on the approximation behavior of the spectral factors and desired filters, respectively.
UR - http://www.scopus.com/inward/record.url?scp=34047203682&partnerID=8YFLogxK
U2 - 10.1109/acc.2006.1657398
DO - 10.1109/acc.2006.1657398
M3 - Conference contribution
AN - SCOPUS:34047203682
SN - 1424402107
SN - 9781424402106
T3 - Proceedings of the American Control Conference
SP - 4320
EP - 4325
BT - Proceedings of the 2006 American Control Conference
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2006 American Control Conference
Y2 - 14 June 2006 through 16 June 2006
ER -