Design of Radar Receive Filters Optimized According to Lp-Norm Based Criteria

This paper deals with the design of radar receive filters which optimize either the Lp-norm of the vector containing the filter sidelobe energies or the Inverse Signal to Noise Ratio (ISNR) under an upperbound constraint on the previously mentioned Lp-norm. In both the cases, we prove that the filter design can be formulated as a convex optimization Second Order Cone Programming (SOCP) problem which can be efficiently solved with a polynomial time computational complexity resorting to interior point methods. At the analysis stage, we assess the performance of the receive filters in correspondence of different values of the parameter p highlighting the performance compromises between the Integrated Sidelobe Level (ISL) and the Peak Sidelobe Level (PSL).