Accession Number : ADA189473

Title :   Two Dimensional Uncorrelated Bias in Fix Algorithms.

Descriptive Note : Final rept.,

Corporate Author : JET PROPULSION LAB PASADENA CA

Personal Author(s) : Rennie, Michael W

PDF Url : ADA189473

Report Date : 10 Jun 1987

Pagination or Media Count : 48

Abstract : Bias in Location Estimation Algorithms is defined to be a vector from the estimated fix site to the true Fix site. Four Fix Algorithms are examined in this report: Least Squares (Stanfield Approximation), Weighted Least Squares, Minimization of Angular Error, and minimization of the Site of the Angular Error. Analysis expressions for the First-Order error are derived for two specific cases: Two Lines-of-Bearing (LOB's) and infinite LOB's. The analytic derivations are relegated to appendices. Three questions are answered by this report. First, which algorithms cause the largest bias? Second, how sensitive is this bias to sample size, system noise, and variance? Third, which algorithms (if any) are asymptotically unbiased? All conclusions are then verified by simulation. Keywords: Bias; Least squares; Minimization of angular error; Asymptotically unbiased; Simulation; Weights; Geometric effects.

Descriptors :   *POSITION FINDING, ALGORITHMS, ANGLES, ERRORS, ESTIMATES, GEOMETRY, LEAST SQUARES METHOD, NOISE, SIMULATION, SITES, WEIGHTING FUNCTIONS, BIAS

Subject Categories : Target Direction, Range and Position Finding

Distribution Statement : APPROVED FOR PUBLIC RELEASE