Title :
A smoothed Newton-Gauss method with application to bearing-only position location
Author_Institution :
Fac. of Aerosp. Eng., Technion-Israel Inst. of Technol., Haifa
fDate :
8/1/1995 12:00:00 AM
Abstract :
The paper deals with a modified Newton-Gauss method in which a smoothing parameter is introduced in order to enhance convergence. Two practical algorithms are proposed and tested with application to bearing-only position location. The first algorithm relies on the one-step Newton minimum search, which is used to select a smoothing factor in each Newton-Gauss iteration. In the second, a smoothing factor is suggested as an appropriate function of the number of iterations
Keywords :
Newton method; convergence of numerical methods; direction-of-arrival estimation; minimisation; search problems; smoothing methods; Newton-Gauss iteration; bearing-only position location; convergence; modified Newton-Gauss method; one-step Newton minimum search; smoothed Newton-Gauss method; Cost function; Degradation; Equations; Geometry; Iterative methods; Maximum likelihood estimation; Noise measurement; Parameter estimation; Smoothing methods; Testing;
Journal_Title :
Signal Processing, IEEE Transactions on
