A common issue in pulsed radar is the eclipsing effect for near range target. Firstly, theoretical analysis is presented to show that the radar's minimum operating range is not subject to pulse width, and then by using Chirp pulse as an example, a fast search algorithm suitable for both near and far range target is proposed. Compared with conventional search algorithms, which need multiple search wave form to cover the entire range domain, the presented algorithm needs only one single search mode, and thus reducing search time. Finally, simulation results validate the correctness of the theoretical analysis and effectiveness of the processing algorithm.