A lot of work has been done for applying Dynamic programming (DP) algorithm in weak moving target detection and tracking. Most of them are based on IR image sequence and a constant target velocity is assumed. The goal of this paper is to apply DP algorithm to radar Doppler detection problems. Radar returns from multiple range cells are arranged as a set of Doppler-range images to fit in DP imagery detection model. Trajectories in image sequence are modeled as states sets. Then De algorithm is applied to integrate measurements along possible target trajectories, returning as possible targets those trajectories for which the measurement sum, or merit function, exceeds a threshold. Low SNR target that maneuvers among several range cells can be detected through such long-term integration. Under a practical set of radar parameters, good detection performances are presented that at about 10070 detection probability, about 7dB SNR gain is achieved through 15-frame DP non-coherent integration.
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