Target number detection based on a order Choi-Willams distribution

A new method is proposed to obtain accurate detection of moving targets in the synthetic aperture radar (SAR) imaging. The proposed algorithm is based on the a-order Choi-Willams-distribution -Hough (a -CWDH) transform introduced in this work. The a -CWDH transform avoids the usual trade-off between the auto-term concentration and cross-term interference for linear, chirp-like auto-components due to time-frequency distribution in the fractional Fourier domain. We can still get the clear image of targets even in the case of low SNR (-12dB). The method avoids a long time of coherent processing and sophisticated motion compensation by performing on the echo within one burst of step frequency signal. Simulation results indicate that the method can precisely detect the target number of a group.