提出了一种准完全重构的余弦调制滤波器组的设计方法,使用优化方法设计原型滤波器。该方法固定原型滤波器的阻带截止频率为ωs=π/M,以通带截止频率ωp为参数变量,用量子粒子群优化算法(QPSO)优化满足重构条件的目标函数,间接设计原型滤波器,然后通过调制得到余弦调制滤波器组。稍微放宽余弦调制滤波器组的精确条件,从而大大降低了设计的复杂性,减少运行时间。仿真实验结果表明,该算法简单有效,可获得具有高阻带衰减、低混叠误差和重构误差的余弦调制滤波器组。
In the paper,a new design method of near-perfect-reconstruction cosine modulated filter banks is proposed,the prototype filter is designed by optimization method which fixes the prototype filter stopband cutoff frequency,takes passband cutoff frequencyas a parameter variable,optimizes the target function which meets reconstruction condition,designs indirectly the prototype filter,and then obtains the cosine modulated filter banks by modulation.It appropriately relaxes the limit conditions of perfect reconstruction of CMFB,so obtains lower complexity and computing time.The simulation results demonstrate that the method proposed is simple and effective,can obtain high stopband attenuation,low aliasing distortion and reconstruction error banks.