TY - GEN
T1 - Schur parametrization of symmetric matrices with any rank profile
AU - Diepold, Klaus
AU - Pauli, Rainer
N1 - Publisher Copyright:
© 1992 IEEE.
PY - 1992
Y1 - 1992
N2 - In this presentation, the conceptual solution to the parametrization problem for symmetric indefinite matrices P is addressed. Beyond the fact that the symmetric matrix to be parametrized may have positive, negative and vanishing eigenvalues, it may as well comprise singular leading submatrices. For the parametrization, the Lossless Inverse Scattering framework is employed, which amounts to the mapping of a given symmetric mat rix P onto a lossless and cascaded model structure. This leads to a recursive algorithm for the identification of the model parameters, the so-called the Schur parameters, which turn out to form a set of vector-valued quantities to determine the individual lossless layers in the LIS-model.
AB - In this presentation, the conceptual solution to the parametrization problem for symmetric indefinite matrices P is addressed. Beyond the fact that the symmetric matrix to be parametrized may have positive, negative and vanishing eigenvalues, it may as well comprise singular leading submatrices. For the parametrization, the Lossless Inverse Scattering framework is employed, which amounts to the mapping of a given symmetric mat rix P onto a lossless and cascaded model structure. This leads to a recursive algorithm for the identification of the model parameters, the so-called the Schur parameters, which turn out to form a set of vector-valued quantities to determine the individual lossless layers in the LIS-model.
UR - http://www.scopus.com/inward/record.url?scp=85019555348&partnerID=8YFLogxK
U2 - 10.1109/ICASSP.1992.226518
DO - 10.1109/ICASSP.1992.226518
M3 - Conference contribution
AN - SCOPUS:85019555348
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 269
EP - 272
BT - ICASSP 1992 - 1992 International Conference on Acoustics, Speech, and Signal Processing
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 1992
Y2 - 23 March 1992 through 26 March 1992
ER -