Abstract
The paper describes estimate of the quantization error of a real position encoder taking into account the factors specified above, and the method of minimization of this error by an additional adjustment of the scale is proposed.
Highlights
If the encoder scale is adjusted symmetrically with regard to M (∆λ ), the systematic component of the quantization error can be excluded
Let us find the systematic component of the quantization error for a k-th scale quantum, assuming that the scale is adjusted in the middle of the first quantum
It follows that dk Instrumental errors cause deviation of real quantum values [12, 15] from theoretical dk and the variance of the quantization error within the k-th quantum ak2 12 it is easy to find the most probable limit values of the total quantization error for the k-th quantum of the encoder scale: fk
Summary
If the encoder scale is adjusted symmetrically with regard to M (∆λ ) (in which case the centers of the adjustment coincide with the centers of quantum symmetry), the systematic component of the quantization error can be excluded. An attempt is made to estimate the quantization error of a real position encoder taking into account the factors specified above, and the method of minimization of this error by an additional adjustment of the scale is proposed.
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