Target velocity acquisition from signals received by Fourier telescopy

The signals received by Fourier telescopy are analyzed and demonstrated to contain not only image information but also two-dimensional velocity information of the measured target. The velocities on each component can be calculated by the periodic signal frequencies that can be extracted from received signals. Then the two-dimension velocity is composited. The frequency of the signal is extracted by fast Fourier transform analysis for coarse frequency estimate, and by ratio frequency correction algorithms using Hanning window for precise frequency correction. Simulation is made to measure the flight velocity of the missile by Fourier telescopy. The result shows that the target velocity acquired by this method has almost no error without noise, while it has relatively high precision with noise when SNR is higher than 5 dB. The velocity acquisition method from receiving signal of Fourier telescopy is demonstrated to have high precision, a good anti-noise property and to be theoretically feasible.