A multi-objective problem-solving technique for designing a two-channel quadrature mirror filter bank is proposed, where the objectives are to minimize the errors of the passband, stopband and transition band. An evolution-based algorithm, “diversity-driven multi-parent evolutionary algorithm with adaptive non-uniform mutation” (DDMPEA), is proposed for this purpose. The proposed algorithm employs the concepts of population space aggregation and fitness variance to guide the solution away from local optima. This algorithm is also validated on benchmark optimization problems. Furthermore, Wilcoxon’s test for statistical analysis at a 5% significance level confirms the effectiveness of the algorithm. From Wilcoxon’s rank-sum test, it is clear that for all considered benchmark functions, the DDMPEA is superior to other state-of-the-art optimization algorithms. The results achieved from the designed filter are compared with other available results from the existing literature. The percentage improvements in peak reconstruction error, attenuation of the stopband, and overall amplitude distortion are calculated for filter lengths of 32 and 48.

提出了一种用于设计两通道正交镜面滤波器组的多目标问题解决技术，其目的是最大程度地减小通带，阻带和过渡带的误差。为此，提出了一种基于进化的算法“具有自适应非均匀变异的多样性驱动的多亲进化算法”（DDMPEA）。所提出的算法利用总体空间聚集和适应度方差的概念来指导解决方案远离局部最优。该算法还针对基准优化问题进行了验证。此外，Wilcoxon用于统计分析（显着性水平为5％）的检验证实了该算法的有效性。根据Wilcoxon的秩和检验，很明显，对于所有考虑的基准功能，DDMPEA优于其他最新的优化算法。从设计的滤波器获得的结果与现有文献中的其他可用结果进行比较。对于32和48的滤波器长度，计算了峰值重建误差，阻带衰减和整体幅度失真的改善百分比。