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Ellipse fitting algorithm based on biorthogonal phase-locked digital upconversion for dynamic nonlinear error compensation in grating interferometers
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DOI：10.1016/j.optlastec.2026.115228.png)
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Abstract
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• The characteristics of nonlinear errors were analyzed from both the error source and the spectrum. The dynamic variation characteristic of nonlinear errors was proposed for the first time. • An ellipse fitting error compensation algorithm based on biorthogonal phase-locked digital upconversion (BPDU) was proposed. Based on the biorthogonal phase-locked amplifier (BPA), the passband of the filter was modified to incorporate high-frequency characteristics into orthogonal signals. This improved the fitting accuracy and update frequency of the ellipse fitting algorithm, making it more suitable for dynamic nonlinear error compensation. • Hardware-in-the-loop simulations and experiments were conducted, demonstrating the effectiveness of the algorithm under most working conditions.
Keywords:
nonlinear errors
ellipse fitting
biorthogonal phase-locked digital upconversion
grating interferometers
error compensation
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