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中文摘要：
通过分析基于加权最小均方误差准则的全通型分数延时滤波器（APFDF）的设计和求解，针对目前APFDF 迭代求解在收敛性和数值稳定性方面存在的问题，提出基于改进遗传算法的 APFDF 求解方法。通过精英策略，保证遗传算法的收敛。采用混合遗传算子，在加快遗传算法向全局最优解收敛的同时，防止其在最优解附近徘徊。仿真结果表明，新设计的 APFDF 具有低阶数和高精度的特点，将其应用于宽带数字波数形成，孔径渡越问题得以解决，形成波束几乎完全逼近理想波束。
英文摘要：
By analyzing the design and solving of the allpass fractional delay filter （ APFDF） based on the weighted least square method , a new APFDF design procedure adopting the modified genetic algorithm based on elite strategy is proposed , which assures the convergence and stability in obtaining the filter＆#39;s coefficients . The hybrid genetic operators speed up the convergence of genetic operation towards the global optimal solution and prevent it from pondering around the solution . Simulation results show that the allpass fractional delay filters designed are of low order and high precision . Applied in wideband digital beamforming （ WDBF） , the aperture transition and frequency dispersion problems are solved successfully and the beam formed approximates the ideal beam .
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