I. Introduction
Rotary encoders or rotational motion sensors are widely used in industrial and automotive control systems. Although they have been in use for decades, new approaches to build them are still being investigated, applying, for instance, optical [1], magnetic [2], capacitive [3], magneto-optical [4], and piezoelectric [5] methods. These studies are intended to improve the performance of the sensor and add new features to it. Fleming [6], [7] showed that automotive control systems employ a number of rotational motion sensors and require improved performance. The automotive sensors often carry different names referring to their functionality. Crank angle sensors in automotive powertrains, for example, measure the rotation angle of an engine’s crankshaft and its revolving speed, and provide the fuel and spark timings for engine management systems. The gear speed sensors used in the transmission mechanism detect essential information for the power-shift control of automotive powertrains. Wheel speed sensors are commonly used for vehicle speed sensing, as well as advanced braking controls. For these automotive rotation measurements, magnetic sensors based on the magnetoresistive effect are predominantly used because of their robustness against harsh environments, such as wide temperature ranges and dusty air.