Prototype Filter Design Using Genetic Algorithm for Orientated Sidelobe Energy Suppression in FBMC

This paper considers the design problem of the prototype filter in the filter bank multicarrier (FBMC) system. In order to further suppress the sidelobe energy within a certain frequency range, a novel constrained factors based dual-objective prototype filter optimization methodology is proposed to meet the different sidelobe energy suppression demands. Specifically, we have employed the nested sequential quadratic program-genetic algorithm (NSQPGA) to solve the dual-objective problem, in which the genetic algorithm (GA) is applied to obtain the optimal constrained factors and the sequential quadratic program (SQP) to obtain the optimal filter coefficients. Numerical results illustrate that the proposed method has the capability to achieve orientated sidelobe energy suppression at specified segments for satisfying different sidelobe energy suppression requirements.