Signal Reconstruction from the Output Phases and Magnitudes of Two-Dimensional Filters

Algorithms are presented for reconstruction of a two-dimensional complex signal by knowing the phases and magnitudes of different filtered versions of the signal for a special class of filters. The algorithms have simple geometric interpretation and are easily extended to N-dimensional systems.     

GPS navigation with increased immunity to modeling errors

A robust extended Kalman filter (EKF) is presented for GPS navigation with outlying errors in the GPS measurements due to failed satellites or unmodeled errors. In this approach, the innovation step of the conventional EKF is modified using the robust statistics concept to obtain a more accurate state estimate in the presence of outlying errors. Performance of the proposed robust EKF in comparison with the conventional EKF, and adaptive EKF is demonstrated through simulation results.