Generalized autocorrelation function of a useful signal of the radar system with the synthetic aperture of the space transmitter

Abstract

Allowing for the effect of a synthetic aperture of the transmitter, we obtain an expression for the generalized autocorrelation function of a useful spatio-temporal signal of the measuring radar system whose ground-based receiver is equipped with a coherent two-site antenna system, while the transmitter is located on a satellite. It is shown that the natural coordinates for measurement by such a system are (i) the range to the object, measured from the delay time of the received signal, (ii) the projection of the radius vector of the object onto the direction of the satellite ground track, measured from the Doppler shift of the received-signal frequency, and (iii) the projection of the radius vector of the object onto the direction perpendicular to the satellite ground track, measured from the arrival direction of the received electromagnetic wave by the two-site receiving system.