Inverse scattering and minimal partial realizations
作者:
A. M. BRUCKSTEIN‡,
T. K. CITRON§,
T. KAILATH,
期刊:
International Journal of Control
(Taylor Available online 1988)
卷期:
Volume 48,
issue 4
页码: 1537-1550
ISSN:0020-7179
年代: 1988
DOI:10.1080/00207178808906267
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We present an inverse scattering interpretation of the classical minimal partial realization problem posed in a slightly generalized context. Our approach starts by considering a canonical cascade-form structure for the realization of arbitrary transfer functions, where the cascade structure can be interpreted as the description of a layered wave scattering medium. In this context the partial realization problem calls for a recursive process of layer identification from a given input-response pair (the scattering data). The realization algorithm uses a causality principle to progressively determine the parameters of cascaded linear 2-ports that model the successive wave-interaction layers. This method for approaching the realization problem turns out to fit nicely into a framework that was also used to obtain fast, structured linear estimation algorithms and cascade realizations for digital filters.
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