Abstract: A method of digital pulse compression filters design using convex optimization is proposed. This method can provide the optimal tradeoff among the width of mainlobe, the peak sidelobe level, the signal to noise ratio loss and the Doppler tolerance of the digital pulse compressing filters. For different application situations, two different optimization rules are presented, including minimizing the peak sidelobe level and minimizing the gain loss. Using different optimization rules, digital pulse compression filters with different desiring responses can be designed flexibly for practice applications. The simulation results and real radar echo data processing results illustrate the efficiency of the proposed method.