Sensor Data Fusion

Period of Performance: 06/23/2011 - 12/30/2011


Phase 1 SBIR

Recipient Firm

Applied Mathematics, Inc.
1622 Route 12, Box 637
Gales Ferry, CT -
Principal Investigator


Use of data from multiple sensors provides the opportunity for improved ballistic missile defense (BMD) search and tracking. Algorithms for combining multi-sensor data are required. BMD sensor data fusion is a challenging problem because of incompatibility in coordinate systems for different sensors, which makes it difficult to transfer variance and covariance information, and because of sensor registration issues, which result in measurement errors with a consistent bias. To overcome these difficulties, we propose using a root-mean-square (RMS) approach. The RMS value of a possible missile trajectory expresses the amount of consistency between the measurements that the possible trajectory should generate, and the actual measurements. The Marquardt-Levenberg optimization method can be used to find the trajectory with minimum RMS, which can be used as the fire control solution for that missile. Sensor bias can be resolved, allowing registration errors to be corrected. Furthermore, an output of the Marquardt-Levenberg algorithm is a covariance structure on the parameter set that defines possible missile trajectories.