Information Analysis in Joint Problem of Continuous-Discrete Filtering, Interpolation and Extrapolation with Memory Observations

This paper considers an information aspect of the joint filtering, interpolation and extrapolation problem, when the output of observation channels is the set of realizations of the processes with continuous and discrete time, which depends on both the current and the past values of unobservable process. The expressions, defined time evolution of Shannon information amounts, are obtained and the solution structure is researched.