Scale factor error compensation of FOG based on fractional tap-length LMS method

The scale factor of fiber-optic gyroscope (FOG) exhibits temperature-dependency to the ambient environment. It is essential to ensure the stability of scale factor especially for high precision FOG. In this study, the mathematical model of closed-loop FOG is established firstly and the scale factor, which is related to the temperature variation, is formulated based on the model. Then Fractional Tap-length Least Mean Square (FTLMS) method is introduced in theory to compensate the scale factor error and this method could adjust the compensation order automatically in real time. Lastly, Experiment with temperature ranging from -10°C and 50°C are performed to verify the effectiveness of the proposed compensation method. Experiment results show that the FTLMS method could adapt to the environmental temperature very well through optimizing the selection of compensation order and coefficients, and the scale factor stability of FOG decreases from 179ppm before compensation, to 3.54ppm after compensation.