Order Estimation of Linear Time Invariant System

Dov Wulich, Yacov Kaufman

Research output: Contribution to journalArticlepeer-review

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Abstract

An order estimation of a linear time invariant system has been developed. The order estimation (the number of sets of significant system parameters) is based on function elimination filters. In presence of noise, the estimation procedure has been improved by using the composite hypothesis and the maximum likelihood ratio. Finally, the estimated system order can be used to estimate the system parameters. It is to be assumed that the investigated system is not overdumped, has no aliasing problems and the system input is "white noise". The proposed method differs from other estimation methods because the system order can be found without knowledge about the system parameters.

Original languageEnglish
Pages (from-to)143-150
Number of pages8
JournalJournal of the Franklin Institute
Volume322
Issue number3
DOIs
StatePublished - 1 Jan 1986

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