Optimal communication channels with noise in problems of estimation and motion correction

Some classes of data communication channels with Gaussian noise, which can be used in problems of estimation and motion correction, are considered. The necessity to study the communication channels with noise arises under solving the mentioned problems when communication constraints are taken into account. It is assumed that a controlled or estimated object is situated at a considerable distance from the control and information processing center (CIPC), where a phase state of the object is estimated and a control action is formed. The object and the CIPC are connected by the information channel with noise and parameter constraints. Information is encoded at the channel entrance in each direction; it is decoded at the exit. In the specified classes of information channels, the best channel is determined in the mean-square sense. Because of the possible statistical uncertainty of disturbances acting on the object, optimal minimax channels are determined. An application of the optimal communication channels to above problems of estimation and motion correction is considered.