P. P. Krutskikh, V. G. Radzievskiy

 Air Force Academy named after professor N.E. Zhukovsky and Yu.A. Gagarin (Voronezh, Russia)

Based on the use of the least squares method and the fastest gradient descent algorithm, the procedure for approximation of measurements of the radiation power of the transmitting antenna has been developed. This procedure involves an average power pattern of a linear type antenna with random amplitude and phase deviations on the assumptions of their normal distribution, consistency of average amplitude and phase dispersion along the antenna, Gaussian form of the correlation coefficient of deviations. As an approximation quality criterion, the minimum of the sum of the squared deviations of radiation power estimates at points of measurement from theoretical values of a random function that determines the shape of the radiation pattern is used.

Given the nonlinearity of the function, the numerical approximation procedure based on the fastest gradient descent method has been proposed. The direction of descent at the next iteration is selected on the basis of the current value of the gradient of the criterion function. The criterion for the completion of the process is the achievement of a stationary, in a statistical sense, area of the function.

Krutskikh P.P., Radzievskiy V.G. Statistical treatment of signal power measurements under identification of the distant radiator antenna directional pattern. Antennas. 2021. № 1. P. 45–53. DOI: 10.18127/j03209601-202101-04. (in Russian)

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