Design of digital pulse compression filters using convex optimization

A method of digital pulse compression filters design using convex optimization is proposed in this paper. This method can provide the optimal tradeoff among the width of main lobe, the peak side lobe level, the gain loss and the Doppler tolerance. For different application situations, two different optimization rules are presented, including minimizing the peak side lobe 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 illustrate the efficiency of the proposed method.