I. Introduction
Hybrid navigation systems that incorporate a Global Positioning System (GPS) receiver and dead-reckoning (DR) sensors have been widely used for automobile navigation systems [1]–[4]. There are two general DR sensors to detect the azimuth angle using terrestrial magnetism: 1) a rate gyroscope and 2) an electronic compass [5]. A rate gyroscope is accurate in representing the attitude of a vehicle for a short period of time; however, the errors are accumulative and drifty, and the price is very high, particularly for high performance. The electronic compass is a cheap tool for representing the azimuth angle. However, it has measurement errors that are sensitive to external interference [6]–[11]. On the contrary, the rate gyroscope suffers from accumulative errors and from drift with time, although it is robust against external magnetic interference. Therefore, it is necessary to calibrate the sensor every few minutes [5].