多参数控制的全频数字积分器及其稳定性设计

Full spectrum band integrator with multi-parameter and stable integrator design

基于数值积分器的线性组合构造一类新的多参数控制数字积分器,从绝对幅度误差、绝对幅度误差面积和绝对幅度误差能量方面提出了全频数字积分器控制参数的选取原则,选取适当的参数得到了幅频误差很小的全频数字积分器,并与已有比较精准的数字积分器进行了比较,分析了各数字积分器的幅频误差,证明了该新积分器具有良好的逼近精确性。对该积分器进行稳定性分析,转化为s的式子并进行最小相位处理,对全频数字积分器做了稳定性处理,得到了稳定的全频数字积分器。

A class of integrators with muhi-parameter is introduced. The class of integrators is based on the linear combina- tion of the numerical integrators. The parameter roles selected to get the optimal integrators are presented. Based on the roles, a new integrator is introduced, and this one can accurately approximate the ideal integrator over the entire Nyquist frequency range. In comparison with existing digital integrators, the new integrator has minimum absolute magnitude error. Then a novel stable transform of the IIR digital integrator is obtained by stabilizing the transform of the new integrator.