Unbiased converted measurements for tracking

Mo Longbin; Song Xiaoquan; Yiyu Zhou; Sun Zhong Kang; Yaakov Bar‐Shalom

doi:10.1109/7.705921

Abstract

The exact compensation for the bias in the classical polar-to-Cartesian conversion is shown to be multiplicative and to depend on the statistics of the cosine of the angle measurement errors. An unbiased conversion is presented. A comparison between this unbiased conversion and the previously presented debiased conversion is made. The unbiased spherical-to-Cartesian conversion is also presented and evaluated.

Keywords

Cartesian coordinate systemMultiplicative functionConversion factorTrigonometric functionsPolar coordinate systemCompensation (psychology)MathematicsAlgorithmPhysicsMathematical analysisGeometry

Affiliated Institutions

National University of Defense Technology CN

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Publication Info

Year: 1998
Type: article
Volume: 34
Issue: 3
Pages: 1023-1027
Citations: 371
Access: Closed

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APA Style

                            
                                
                                    Mo Longbin, 
                                
                                    Song Xiaoquan, 
                                
                                    Yiyu Zhou
                                
                                et al.
                            
                            (1998). 
                            Unbiased converted measurements for tracking. 
                            IEEE Transactions on Aerospace and Electronic Systems
                            , 34
                            (3)
                            , 1023-1027.
                            https://doi.org/10.1109/7.705921
                        

Identifiers

DOI: 10.1109/7.705921