Abstract
An algorithm for spatial-temporal signal processing in discrete time is obtained. The estimation-correlation and estimation-correlation-compensation options for constructing optimal algorithms are considered, which also makes it possible to generalize to non-Markov signals and interferences. It is shown that in order to implement the obtained algorithms, it is necessary to use extrapolation one-step estimates of the signal and interference. It is established that the interference compensator is part of the optimal estimation-correlation-compensation algorithm. The application of the proposed approach makes it possible to obtain a variety of quasi-optimal algorithms for signal detection and parameter estimation. The resulting structures are convenient for implementation in digital form by hardware and software. A spatial-temporal estimation-correlation algorithm for processing the atmospheric signal has been obtained, which allows estimating the distance to a thunderstorm discharge taking into account the height of the observation point. The influence of the number of field components on the measurement error of the distance to the lightning discharge is investigated. To improve the accuracy of distance determination, it is proposed to use a three-component field model.