ChebyCoef('Vector','Beginsegment','Endsegment','Order','CoverFactor'=1)

Arguments

'Vector'	Measured values that are to be approximated
'Beginsegment'	Vector segment to be applied first
'Endsegment'	Vector segment to be applied last
'Order'	Order of the Chebyshev polynomial
'CoverFactor'	Optional parameter for determining the cover factor

Description

The ChebyCoef function calculates the coefficient of the Chebyshev polynomial of the order 'Order' across the cross profile of a vector 'Vector'. In the process, only the entries of the vector between the segments 'Beginsegment' and 'Endsegment' are considered. An optional cover factor 'CoverFactor' determines the behavior at the edges.

Example

The Chebyshev polynomial, named after the Russian mathematician Tschebyschow, is suitable for describing the profile of a roll gap in a mathematical way. Regarding the roll gap approximation, the orders 0 to 6 of the polynomial are relevant. The function provides the corresponding coefficients for this.

In real life, the coefficients can be derived from the measured values of a flatness measuring roll. The measured values of every zone are collected in a multidimensional signal 'Vector'. Each array field corresponds to a segment in terms of the cross profile of the gap.