无乘法的线性相位滤波器组的优化设计

Optimization desing for multiplier-less filter banks of linear phase

提出了一种新的优化方法来设计系数为 2的幂和 (SOPOT)形式的线性相位完全重构 (LPPR)滤波器组。其基本思想是将LPPR格型结构滤波器组中的格型系数直接表示成SOPOT形式 ,并将这些系数编码成个二进制码串 ,然后在一定的目标函数下利用遗传算法对这二进制码串进行优化。利用这种方法可以省去传统方法中首先设计无限精度系数的步骤 ,简化SOPOT型系数的LPPR滤波器组的设计过程。实验结果表明 。

A new optimization scheme is presented to design the linear phase perfect recon struction (LPPR) filter banks with sum of powers of two (SOPOT) coefficients.Its basic idea is to present the lattice coefficients of the LPPR lattice structure filter banks in SOPOT forms directly and encode all coefficients into a single binary string. Then the GA algorithm is employed to optimize the binary string for a certain object function. With this method, there is no need to design infinite precision coefficients (see literature),so the whole process of designing LPPR filter banks with SOPOT coefficients could be simplified. A design example is given to show the efficiency of the scheme.