Inertial Navigation Position Algorithm in Frequency-Domain with Gibbs Oscillation Restraining in Acceleration Signal Reconstruction

Accelerometer is one of the most important units in inertial navigation system. Its mathematical model is established, and its output equation is derived. Reconstructing acceleration signal in frequency-domain is adopted in order to reduce the integration error in inertial navigation position calculation. To restrain the Gibbs phenomenon in the reconstruction of acceleration signal, a new method is proposed which retains original length of block-process data and is convenient to be integrated. The method is proved to have higher precision than the conventionally used 3-sample algorithm by digital simulation experiment.