采用最佳状态变量实现的线性相位递归IIR数字滤波器
Realization of linear phase recursive IIR digital filters based on optimal state variable
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摘要: 为了实现输入序列为无限长的线性相位递归IIR数字滤波器,提出了采用状态变量的方法.将每个块的某个初始状态应用于第2级来寻找到最佳可能状态的理论表达式,得到最好的可能初始状态,从而获得理想输出的较好近似.仿真表明,所提出的方法与其他方法相比,不但可以实现线性相位和减少滤波器阶数,而且还减少了运算次数.Abstract: In order to realize the input sequence of linear phase IIR digital filter for recursive infinite length,this paper proposes a new technique using state variable.A certain initial state of each block is applied to the next stage to find theoretical expression of the best possible state,and get the best possible initial state,so as to gain a better approximate the ideal output. Simulation results show that compared with other methods the proposed method not only can achieve linear phase and reduce thefilter order,but also reduce the number of operations.