The application rule of multi-frequency sine wave compound modulation in measuring spatial roll angle

The purpose of the study is to summarize the application rule of multi-frequency sine wave compound magneto-optical modulation in measuring roll angle. Firstly, we establish the model of compound modulation signal composed of fundamental and multi-frequency sine wave signals, and then the modulated signal is analyzed with Bessel function. Secondly, we analyze the characteristic of AC signal extracted from the modulated signal, and discuss the feasibility of establishing angle measurement model with extremum in AC signal. Finally, we draw the conclusion that study on the fundamental sine wave signal superimposed on itself compound modulation in roll angle measurement is enough, the others is unnecessary. The study result has an important guiding significance on the application of multi-frequency sine wave compound magneto-optical modulation in measuring roll angle.