APPLYING THE VARIATIONAL METHOD TO THE PROBLEM OF ESTIMATING SIGNAL PARAMETERS IN PASSIVE RADAR WITH EXTERNAL ILLUMINATION
N. G. Parkhomenko1, A. A. Peretyat’ko2, Ya. A. Reizenkind3, V. S. Onishchenko3, V. N. Shevchenko3
1All-Russian Research Institute “Gradient”, pr. Sokolova 96, Rostov-on-Don, 344010 Russia
2Federal Security Service of the Russian Federation, Kremlin-9, Moscow, 109012 Russia
3Konstruktorskoe buyro “Svyas”, pr. Sokolova 96, Rostov-on-Don, 344010 Russia
Keywords: signal processing in radar systems, bistatic radar, evaluation of sparse signals
Abstract
A passive bistatic radar comprising an illumination source and two antennas for receiving the direct signal from the illumination source and a mixture of signals scattered by moving objects is considered. The problem of estimating the amplitudes, delays, and Doppler shifts of scattered signals is formulated as the problem of minimizing the residual of an overdetermined system of linear algebraic equations. An additional condition is imposed on the unknown amplitude to provide sparsity of the desired signal amplitudes in the delay-Doppler shift coordinates. The problem is solved by the variational method.The method was successfully tested using real data.
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