基于差分进化算法和DFT插值法的NPR滤波器组设计

Design of NPR Filter Banks Based on Differential Evolution Algorithm and DFT Interpolated Method

在星载柔性转发系统中,需要采用数字信道化对信号进行分路、路由和合成。数字信道化的核心就是设计满足完全重构(Perfect Reconstruction,PR)条件或者近似完全重构(Nearly Perfect Reconstruction,NPR)条件的滤波器组。由于滤波器组可通过对原型滤波器的调制得到,所以设计滤波器组就转化为设计原型滤波器。采用基于P-M(Park-Mc Clellan)算法的DFT插值法来设计原型滤波器,可有效降低设计的时间复杂度。在采用P-M算法设计滤波器时,需要选择通带阻带权重,传统的滤波器组设计方法不考虑权重因素。文中的主要贡献是提出了采用差分进化算法对权重进行优化选择的方法,得到相比传统方法更好的重构性能,并通过仿真实验得到的最优结果。

The digital channelization is used to demultiplex,route and multiplex in the satellite flexible transponder.The key point of digital channelization is design of filter banks which approach the perfect reconstruction of nearly perfect reconstruction condition.The filter banks can be obtained by modulation.The DFT Interpolated FIR filter based on Park-Mc Clellan(P-M) method can reduce time complexity of design effectively.The passband and stopband weight ratio need to be selected in P-M method,while the traditional method ignored this factor. This paper take use of Differential Evolution Algorithm(DEA) to optimize the passband and stopband weight ratio.The provided method attain a better reconstruction performance than traditional method.At last,this paper present the optimal weight ratio by simulation.