Application Interest Areas

• Radar signal processing, angle measurement, waveform processing, coherent distributed aperture processing
• Target tracking and data association
• Atmospheric characterization, adaptive optics, turbulence enhanced imaging
• Optimization based sensor design

Technical Interest Areas

The application areas above serve as motivation for the following technical interest areas:

• Inverse Problems and Statistical Estimation
  • Estimation Lower Bounds Analysis, Information Theory
  • Inverse Boundary Value Problems
  • Data Association, Target Tracking, and Prediction of Derived Quantities
  • Formlation of inverse methods for high dimensional problems, including Antenna Pattern Synthesis, Atmospheric Estimation, Ionospheric Modeling
• Variational Characterization of Solutions to PDE
  • Riemannian Metric Gradient Flow Formulation of Free Boundary Problems
  • Variationally Based Numerical Methods
  • Duality Formulations for Problems in Convex Analysis
  • Stochasitc PDE
• Large Scale Optimization

Publications

• On the Casese of Equality in Bobkov's Inequality and Gaussian Rearrangement, Calculs of Variations and Partial Differential Equations 13 (2001), no. 1, pp 1-18, with Eric Carlen
• Modeling refraction errors for simulation studies of multisensor target tracking, Proceedings of the 36th Annual IEEE Southeastern Symposium on Systems Theory 2004, with Dale Blair and George Brown.
• Nonlinear Estimation Techniques for Impact Point Prediction of Ballistic Targets, SPIE Optics and Photonics 2006: Signal and Data Processing of Small Targets, with George Brown and David Hardiman
• Extreme Beam Broadening Using Phase Only Pattern Synthesis,, IEEE Workshop on Sensor Array and Multichannel Processing 2006, with George Brown and Mark Mitchell
  
• Antenna Pattern Synthesis for Enhanced Search Performance, IEEE Radar Conference 2007, with George Brown and Mark Mitchell.
• Impact Point Prediction of Small Ballistic Munitions with an Interacting Multiple Model Estimator, SPIE Optics and Photonics 2007: Signal and Data Processing of Small Targets, with Steve Conover, George Brown, Lisa Ehrman, and David Hardiman.
• A Flow Field Approach For State Dynamics in Nonlinear Filtering, IEEE Target Tracking Tribute to Fred Daum 2007, with George Brown
• Assimilation of angle of arrival measurements from an antenna of GPS receivers with a high-resolution version of the WRF model, Proceedings of SPIE: Assimilation of Remote Sensing and In Situ Data in Modern Numerical Weather and Environmental Prediction Models, Vol 6685, Aug. 2007, with Francois Vandenberghe.
• Estimation Lower Bounds for Weather Forecasting, Proceedings of SPIE: Assimilation of Remote Sensing and In Situ Data in Modern Numerical Weather and Environmental Prediction Models, Vol 6685, Aug. 2007, with Francois Vandenberghe.

In Preparation:

• Bootstrap Tracker Startup for Ballistic EKF , with George Brown
• High Order Propagator for Ballistic Dynamics
• Computational approach to 3D ray tracing for efficient formulation of adjoint based minimization techniques
• Prediction and Mitigation of Anomalous Propagation with the Total Atmospheric Effects Mitigation (TAEM) System , with Jim Stagliano, Martin Hall, Robert Bock, Jeff Holder, Susan Dugas, and Francois Vandenberghe
• A mixed state variable approach for interacting multiple model tracking and estimation , with Lisa Ehrman, George Brown, and Steve Conover