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根据传统的Tustin积分算子的积分原理,改变Tustin积分算子的采样间隔,提高积分精度,以此得到了改进的新算子,然后通过Lagrange FIR分数阶延迟滤波器把新积分算子中的分数阶项转换为整数阶,最后采用连续分数展开(CFE)的方法实现了分数阶数字积分器设计.实验证明,设计的分数阶数字积分器在幅频特性上面明显优于传统方法设计的分数阶数字积分器.
According to the integration principle of the traditional Tustin integral operator, the sampling interval of Tustin integral operator is changed to improve the integral accuracy. In this way, an improved new operator is obtained, and then Lagrange FIR fractional delay filter Fractional term is converted into integer order, and finally the fractional order digital integrator is designed by using continuous fractional expansion (CFE) .The experiment shows that the designed fractional order digital integrator is superior to the traditional method in design Order digital integrator.