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Telecommunications and Radio Engineering
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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v51.i4.130
pages 83-87

Quasi-Optimum Algorithm for Radioholographic System Antenna Self-Focusing for reception as to Many Targets in the Presence of Additive and Multiplicative Disturbances

N. I. Matyukhin
V. Karazin National University of Kharkiv, 4, Svoboda Sq., Kharkov; N Zhukovski National Aerospace University “KhAI”, 17, Chkalov St., Kharkiv, 61070, Ukraine


The algorithm of the antenna self-focusing as to many targets proposed in paper [1] is not optimal in terms of the likelihood ratio maximum. In the algorithm, one beam for the transmission is formed at first by Waters method [2], the beam being directed to one of the targets initially illuminated by a wide beam. The target is subsequently used as a reference target for antenna focusing of the reception. Atmospheric distortions are fully compensated by phase inverting in each receiving element and adding the inverted phase to the reflected signal phase. Thereafter the antenna is ready to receive signals from many targets or from an extended target elements. However the information on the reference target location is lost during such processing, because the phase front turns out to be strictly parallel to the antenna aperture. It is as if the reference target were in the direction of the antenna normal. The phase additions artificial introducing into each receiving channel causes such conditions that, when receiving signals from many targets, the targets coordinates are measured relatively to the reference target coordinates which are unknown in actual practice. The space coordinates of many targets are measured relatively to the antenna normal.
In this paper, a quasi-optimum algorithm is proposed and analysed that retains the main optimum processing operation (i.e. the smoothing over the antenna elements space) and at the same time allows to measure the coordinates of the reference target singled out by Waters method and to carry out the antenna self-focusing for reception at the target by smoothing the radiohologram over the antenna elements space even in the presence of additive disturbances. Further, for the first time, the analysis is presented of the antenna self-focusing for reception as to many targets using Waters method for the general case in which all targets or extended target elements have strictly equal effective scattering areas (ESAs).

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