实现1/n阶积分的分数阶数字积分器

设计了一类能实现1/n(n为整数)阶积分的分数阶数字积分器.介绍了该已存在的一阶数字积分器,将已有的一阶数字积分器通过Carlson-Newton迭代函数构造了类积分器所必须的两个步骤.该类分数阶数字积分器主要是基于Carlson-Newton迭代法和分数阶的数字积分器,从幅频上分析了该类数字积分器的性能.该类数字积分器能实现1/n阶的数字积分运算,在0.1n≤ω≤0.6π频域内能很好的逼近理想情况.

Fractional Digital Integrators with 1/n Order Integral

A class of fractional digital integrators with 1/n order integral is introduced for any integer n ＞1. A twostep design procedure is presented. The class of fractional digital integrators is based on the Carlson-Newton iteration function and the existed digital integrators with the first order integral. Then some typical digital integrators are employed into the Carlson-Newton iteration function to construct the fractional integrators, and the magnitude response of the fractional digital integrators is analyzed. The class of digital integrators can approximate the ideal integrator with 1/n order integral well for 0.1π≤ω≤0.6π radians.