Comparative analysis of Nuclear Magnetic Resonance and Whole Angle Coriolis Vibratory Gyroscopes

Abstract

This paper's focus is a theoretical comparison of Nuclear Magnetic Resonance Gyroscope (NMRG) and Whole-Angle (WA) Coriolis Vibratory Gyroscopes (CVG) dynamics, showing the parallels in structure of basic equations and deriving performance scaling laws. The comparison relies on the method of averaging to derive the linearized equations of motion and analytical solutions for both types of sensors. While equations for WA CVG in terms of slow-varying components have been extensively published in literature, the contribution of this work is derivation of the linearized equations of motion for NMRG using the method of averaging, as well as its comparison to the WA CVG dynamics. Finally, the paper identifies “optimization knobs” for the two types of sensors (e.g., ring-down time for CVG and relaxation time for NMRG) and discusses similarities and dissimilarities in their dynamics.