Title : 
A New Suboptimal Filter and Numerical Solutions for the Cubic Sensor Problem
         
        
            Author : 
Yan, Changlin ; Yau, Stephen S.-T
         
        
            Author_Institution : 
Dept. of Math., Stat. & Comput. Sci., Illinois Univ., Chicago, IL
         
        
        
        
        
        
            Abstract : 
In this paper, we present a new suboptimal filter for the cubic sensor problem. Then we use this new suboptimal filter and Yau´s method as well as the extended Kalman filter to obtain numerical solutions for the cubic sensor problem. Results show that both our new suboptimal filter and Yau´s method work very well, but the extended Kalman filter fails to give an accurate estimation for the cubic sensor problem
         
        
            Keywords : 
Kalman filters; filtering theory; Yau method; accurate estimation; extended Kalman filter; numerical cubic sensor problem solutions; suboptimal filter; Approximation methods; Computer science; Equations; Filtering; Mathematics; Nonlinear filters; Nonlinear systems; Numerical simulation; Polynomials; Statistics; Cubic Sensor problem; Extended Kalman Filter; Numerical Simulation; Yau´s method;
         
        
        
        
            Conference_Titel : 
Networking, Sensing and Control, 2006. ICNSC '06. Proceedings of the 2006 IEEE International Conference on
         
        
            Conference_Location : 
Ft. Lauderdale, FL
         
        
            Print_ISBN : 
1-4244-0065-1
         
        
        
            DOI : 
10.1109/ICNSC.2006.1673171