NON-CANONICAL OPTION OF AUTOCALIBRATION IN GONIOMETRY
A.V. Kiryanov, V.P. Kiryanov
Institute of Automation and Electrometry, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: instrumental error, delta function, lattice function, error spectrum, EDA method
Abstract
It is noted that the current values of the instrumental error of circular measurement scales are determined only at a finite set of points along the scale. It is proposed to characterize the instrumental error of such scales as a discrete, periodic distortion function and to employ the delta-function formalism to analyze its impact on measurement results. It is shown that, in model experiments using this approach, two modes of operation for specialized sets of reading heads are observed, depending on the properties of the measurement scale. The first is the canonical variant, which exhibits all the properties expected of the EDA method-namely, harmonic filtering and a corresponding increase in measurement accuracy. In the second variant, harmonic filtering is absent, and the improvement in accuracy depends linearly on the number of heads used; this variant is termed non-canonical. It is proposed that this interpretation of instrumental error be applied to the analysis of multi-combination angular sensors.
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