Nonlinear Frequency Modulated Gyroscope

A method for real-time frequency modulated bias calibration of short-term drift in a nonlinear frequency modulated gyroscope, comprising:

• measuring an extracted gyroscope output, wherein the extracted gyroscope output drifts over time, thereby causing an inaccurate extracted gyroscope output;
• applying an autoregressive filter to the extracted gyroscope output, thereby removing short-term noise;
• and
• calculating a corrected gyroscope output, thereby determining a rotation rate.

A nonlinear frequency modulated gyroscope system, comprising:

• a degenerate-mode mechanical resonator, wherein at least two of the modes of the degenerate-mode mechanical resonator can be coupled via a Coriolis effect;
• positive feedback circuits to match with every mode of the degenerate-mode mechanical resonator, wherein the positive feedback circuits include an analog or digital automatic gain control that maintains oscillations of each mode at a constant amplitude;
• a temperature control component, wherein the temperature control component includes a sensor and heating elements;
• and
• a gyroscope controller, wherein the gyroscope controller is an application-specific integrated circuit, a field programmable gate array, or microcontroller;
• wherein the degenerate-mode mechanical resonator, the positive feedback circuits, and the temperature control component are subsystems of the nonlinear frequency modulated gyroscope system.