Journal
Scientific and technical journal «Priborostroenie»
UDK681.5.015
Issue:6 (66)
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SIMPLIFIED IDENTIFICATION ALGORITHM FOR CLASSICAL LINEAR REGRESSION CONTAINING POWER FUNCTIONS OF UNKNOWN PARAMETER
Annotation
The classical linear regression equation is considered, containing the measured signal in the left part and the sum of terms consisting of the product of unknown parameters and known functions (regressors) in the right part. A distinctive feature of the considered equation from the classical one is the assumption that the unknown parameters are non-linear combinations of one. Namely, each of the unknown parameters is obtained by raising one unknown parameter to a power. The article proposes a new simplified procedure for searching for the unknown parameter, which, unlike the widely used gradient descent method, allows, on the one hand, to significantly simplify the identification algorithm, and, on the other hand, to expand the assumptions for regressors.
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