Dispersive wave processing: a model-based solution

Wave propagation through various media represents a significant problem in many applications in acoustics and electromagnetics especially when the medium is dispersive. We pose a general dispersive wave propagation model that could easily represent many classes of dispersive waves and proceed to develop a model-based processor employing this underlying structure. The general solution to the model-based dispersive wave estimation problem is developed using the Bayesian maximum a-posteriori (MAP) approach which leads to the nonlinear extended Kalman filter (EKF) processor.