Вычислительные методы и приложения

Regular algorithms for the analysis of radio-location images

A. L. Ageev, M. E. Korshunov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: The problem of navigation on the basis of radio-location images is considered. The image distortions are described by a convolution-type Fredholm integral equation of the first kind and by a statistical noise. In order to solve the navigation problem, it is necessary to determine, with a high accuracy, the coordinates of the point from which an image is formed. To accomplish this, a comparison is performed between this image and the master image obtained with the use of an area map. A new regularization algorithm is proposed to enhance the accuracy of determining the coordinates. Some results of model computations are discussed.

Keywords: ориентирование; радиолокация; интегральные уравнения Фредгольма первого рода; регуляризация orientation, radio-location, Fredholm integral equations of the first kind, regularization.

UDC: 519.628:517.958