Title :
Orthonormal bandlimited Kautz sequences for global system modeling from piecewise rational models
Author :
Knockaert, Luc ; Dhaene, Tom
Author_Institution :
Dept. Inf. Technol.-Interuniv. Microelectron. Center, Ghent Univ., Gent
fDate :
7/1/2006 12:00:00 AM
Abstract :
Frequency-domain rational macromodeling techniques have to be limited to relatively small frequency ranges or to a limited number of poles, mostly due to numerical issues. A pertinent problem in system modeling is therefore to come up with a global broad-band macromodel, given a number of piecewise rational, possibly disjoint, small-band models. We describe an effective implementation procedure, based on orthonormal bandlimited Kautz sequences. As a first step, we show how a truncated Kautz basis can be obtained directly from a judiciously chosen state-space description. Next, having incorporated the bandlimitedness requirement, we obtain imbeddable orthonormal bandlimited Kautz sequences. A numerical procedure for calculating the underlying bandlimited scalar products and Grammians, as applied to piecewise bandlimited state-space data, is implemented and tested
Keywords :
frequency-domain analysis; integrated circuit modelling; interpolation; piecewise polynomial techniques; sequences; state-space methods; broadband macromodel; frequency-domain macromodeling; global system modeling; orthonormal bandlimited Kautz sequences; piecewise rational models; rational macromodeling; state-space description; Circuit simulation; DH-HEMTs; Electronic design automation and methodology; Microwave theory and techniques; Modeling; Radio frequency; Sampling methods; Space technology; Testing; Time domain analysis; Bandlimited functions; orthonormal bases; piecewise rational functions; state–space description; system modeling;
Journal_Title :
Computer-Aided Design of Integrated Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCAD.2005.855888