基于Shanks'信号模型技术的分数阶滤波器设计

摘要

本文采用脉冲响应不变法和Shanks'信号模型进行分数阶滤波器的设计.首先选择效果比较好的生成函数,利用采样脉冲的初始值求出其离散的脉冲响应函数,然后基于脉冲响应不变法使用Shanks信号模型方法将分数阶微积分运算转换到IIR型滤波器运算.最后通过对信号的Matlab仿真验证了本算法的有效性和实用性.%In this paper, impulse invariance method and signal modeling techniques are used to design of fractional filter. First we select the appropriate generating functions, and use the initial value of impulse response to derive the discrete impulse response. Then the signal modeling techniques and the impulse invariance method are applied to convert the fractional calculus to the IIR filter prosessing. Finally, illustrative examples are presented to demonstrate the effectiveness and usefulness of the proposed method.