Blind image restoration has a strong background of mathematics, including estimation theory, ill-posed problem solution method, linear algebra, stochastic process, numerical analysis, and so on.

This paper considers a linear optimal estimation problem for a stochastic process viewed as the output signal of the time delay stochastic systems driven by a white noise input.

In this paper a linear estimation problem for a stochastic process which is viewed as the output signal of a linear second-order vector difference equation driven by a white-noise input is considered.