Nonlinear Filtering of Diffusion Processes: Implementable Approximations of the Duncan-Mortensen-Zakai Equation
Date: July 01 - July 01, 1982
Numerical methods for the solution of the robust version of the Duncan-Mortensen-Zakai partial differential equation are considered. Both semidiscretization and complete discretization schemes are included. Direct implementation of such schemes via array processors is proposed as a design method for nonlinear filters. The importance of existence, uniqueness and tail behavior of solutions is irelated to properties of such implementations.