Firefly algorithm based GDOP estimation for GPS applications

Abstract

The accuracy of position estimation is indicated by Geometrical Dilution of Precision (GDOP) which depends on geometry of visible satellite with respect to receiver. In this paper, GDOP is calculated by estimating the receiver position using Firefly Algorithm (FA). This method offers less computational complexity as compared to complicated matrix inversion method which is a time and power consuming process. The simulation outcomes indicate that FA does well in terms of convergence time and also accuracy of estimated position. The mean value of position error obtained using FA in x-coordinate is 49.99m, y-coordinate is 131.99m and z-coordinate is 41.79m. FA provides maximum GDOP value of 2.183 and minimum of 1.244. For 24Hours of GPS data, FA has taken computation time of 50.38sec to converge by taking an interval of 2Hours data.