Optimal sidelobe suppression filters design with a constraint of maximum loss in process gain

For the problem of loss in process gain due to the mismatched filters, a method for the design of sidelobe suppression filters under a constraint of maximum loss in process gain is proposed. The design of sidelobe suppression filters, considering an available loss in process gain, is converted to a second-order cone programming (SOCP), which can be solved with great efficiency by interior-point methods. The proposed method provides an optimal tradeoff among the sidelobe level, the loss in process gain and the filter length, which has many advantages such as flexible design, high accuracy and quick convergence. The validity of method is demonstrated by the results of the simulate data.