Simple and Precise Analog Arcsine Synthesis Applied to Amplitude to Phase Conversion for Hall Effect Position Sensors

摘要

Sinusoidal encoders, including Hall effect sensors, are position sensors that provide analog sine and cosine signals of angular position. All schemes used for converting these signals into measure of the angle require either trigonometric or inverse trigonometric function implementation. The proposed converter is based on the use of the alternating pseudo-linear segments of the sensor signals together with a simple and effective linearization technique. The theoretical absolute error of non-linearity of the converter is 0.05 degree over the full 360 degree range. The converter may be implemented numerically or electronically. The paper describes the proposed method, full details of its analog implementation, and experimental results obtained with a Hall effect sensor. Results demonstrate agreement between theory and experimental results.