A vibratory sensor includes a vibratory element, a receiver circuit that receives a vibration signal from the vibratory element, and a drive circuit that generates a drive signal. The calibration system also includes a calibration pattern written onto a surface of the substrate, the calibration pattern comprising a ring that includes a grating pattern, where a radial position of the grating pattern corresponds to an error value of the position of the encoder pattern. This configuration locks the optical element axially in the support and produces a positive rigid retaining structure for each optical element. The lossless stage uses a context mixing algorithm with two bit-wise predictive models whose predictions are combined and fed to an arithmetic coder.